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<rfc xmlns:xi="http://www.w3.org/2001/XInclude" ipr="trust200902" docName="draft-ietf-openpgp-pqc-08" category="info" submissionType="IETF" tocInclude="true" sortRefs="true" symRefs="true" version="3">
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  <front>
    <title abbrev="PQC in OpenPGP">Post-Quantum Cryptography in OpenPGP</title>
    <seriesInfo name="Internet-Draft" value="draft-ietf-openpgp-pqc-08"/>
    <author initials="S." surname="Kousidis" fullname="Stavros Kousidis">
      <organization>BSI</organization>
      <address>
        <postal>
          <country>Germany</country>
        </postal>
        <email>kousidis.ietf@gmail.com</email>
      </address>
    </author>
    <author initials="J." surname="Roth" fullname="Johannes Roth">
      <organization>MTG AG</organization>
      <address>
        <postal>
          <country>Germany</country>
        </postal>
        <email>johannes.roth@mtg.de</email>
      </address>
    </author>
    <author initials="F." surname="Strenzke" fullname="Falko Strenzke">
      <organization>MTG AG</organization>
      <address>
        <postal>
          <country>Germany</country>
        </postal>
        <email>falko.strenzke@mtg.de</email>
      </address>
    </author>
    <author initials="A." surname="Wussler" fullname="Aron Wussler">
      <organization>Proton AG</organization>
      <address>
        <postal>
          <country>Switzerland</country>
        </postal>
        <email>aron@wussler.it</email>
      </address>
    </author>
    <date year="2025" month="April" day="15"/>
    <area>sec</area>
    <workgroup>Network Working Group</workgroup>
    <keyword>Internet-Draft</keyword>
    <abstract>
      <?line 216?>

<t>This document defines a post-quantum public-key algorithm extension for the OpenPGP protocol.
Given the generally assumed threat of a cryptographically relevant quantum computer, this extension provides a basis for long-term secure OpenPGP signatures and ciphertexts.
Specifically, it defines composite public-key encryption based on ML-KEM (formerly CRYSTALS-Kyber), composite public-key signatures based on ML-DSA (formerly CRYSTALS-Dilithium), both in combination with elliptic curve cryptography, and SLH-DSA (formerly SPHINCS+) as a standalone public key signature scheme.</t>
    </abstract>
    <note removeInRFC="true">
      <name>About This Document</name>
      <t>
        Status information for this document may be found at <eref target="https://datatracker.ietf.org/doc/draft-ietf-openpgp-pqc/"/>.
      </t>
      <t>
        Discussion of this document takes place on the
        WG Working Group mailing list (<eref target="mailto:openpgp@ietf.org"/>),
        which is archived at <eref target="https://mailarchive.ietf.org/arch/browse/openpgp/"/>.
        Subscribe at <eref target="https://www.ietf.org/mailman/listinfo/openpgp/"/>.
      </t>
      <t>Source for this draft and an issue tracker can be found at
        <eref target="https://github.com/openpgp-pqc/draft-openpgp-pqc"/>.</t>
    </note>
  </front>
  <middle>
    <?line 222?>

<section anchor="introduction">
      <name>Introduction</name>
      <t>The OpenPGP protocol supports various traditional public-key algorithms based on the factoring or discrete logarithm problem.
As the security of algorithms based on these mathematical problems is endangered by the advent of quantum computers, there is a need to extend OpenPGP by algorithms that remain secure in the presence of quantum computers.</t>
      <t>Such cryptographic algorithms are referred to as post-quantum cryptography.
The algorithms defined in this extension were chosen for standardization by the National Institute of Standards and Technology (NIST) in mid 2022 <xref target="NISTIR-8413"/> as the result of the NIST Post-Quantum Cryptography Standardization process initiated in 2016 <xref target="NIST-PQC"/>.
Namely, these are ML-KEM <xref target="FIPS-203"/> as a Key Encapsulation Mechanism (KEM), a KEM being a modern building block for public-key encryption, and ML-DSA <xref target="FIPS-204"/> as well as SLH-DSA <xref target="FIPS-205"/> as signature schemes.</t>
      <t>For the two ML-* schemes, this document follows the conservative strategy to deploy post-quantum in combination with traditional schemes such that the security is retained even if all schemes but one in the combination are broken.
In contrast, the stateless hash-based signature scheme SLH-DSA is considered to be sufficiently well understood with respect to its security assumptions in order to be used standalone.
To this end, this document specifies the following new set: SLH-DSA standalone and the two ML-* as composite with ECC-based KEM and digital signature schemes.
Here, the term "composite" indicates that any data structure or algorithm pertaining to the combination of the two components appears as single data structure or algorithm from the protocol perspective.</t>
      <t>The document specifies the conventions for interoperability between compliant OpenPGP implementations that make use of this extension and the newly defined algorithms or algorithm combinations.</t>
      <section anchor="conventions-used-in-this-document">
        <name>Conventions used in this Document</name>
        <section anchor="terminology-for-multi-algorithm-schemes">
          <name>Terminology for Multi-Algorithm Schemes</name>
          <t>The terminology in this document is oriented towards the definitions in <xref target="I-D.ietf-pquip-pqt-hybrid-terminology"/>.
Specifically, the terms "multi-algorithm", "composite" and "non-composite" are used in correspondence with the definitions therein.
The abbreviation "PQ" is used for post-quantum schemes.
To denote the combination of post-quantum and traditional schemes, the abbreviation "PQ/T" is used.
The short form "PQ(/T)" stands for PQ or PQ/T.</t>
        </section>
      </section>
      <section anchor="post-quantum-cryptography">
        <name>Post-Quantum Cryptography</name>
        <t>This section describes the individual post-quantum cryptographic schemes.
All schemes listed here are believed to provide security in the presence of a cryptographically relevant quantum computer.
However, the mathematical problems on which the two ML-* schemes and SLH-DSA are based, are fundamentally different, and accordingly the level of trust commonly placed in them as well as their performance characteristics vary.</t>
        <section anchor="mlkem-intro">
          <name>ML-KEM</name>
          <t>ML-KEM <xref target="FIPS-203"/> is based on the hardness of solving the Learning with Errors problem in module lattices (MLWE).
The scheme is believed to provide security against cryptanalytic attacks by classical as well as quantum computers.
This specification defines ML-KEM only in composite combination with ECDH encryption schemes in order to provide a pre-quantum security fallback.</t>
        </section>
        <section anchor="mldsa-intro">
          <name>ML-DSA</name>
          <t>ML-DSA <xref target="FIPS-204"/> is a signature scheme that, like ML-KEM, is based on the hardness of solving the Learning With Errors problem and a variant of the Short Integer Solution problem in module lattices (MLWE and SelfTargetMSIS).
Accordingly, this specification only defines ML-DSA in composite combination with EdDSA signature schemes.</t>
        </section>
        <section anchor="slh-dsa">
          <name>SLH-DSA</name>
          <t>SLH-DSA <xref target="FIPS-205"/> is a stateless hash-based signature scheme.
Its security relies on the hardness of finding preimages for cryptographic hash functions.
This feature is generally considered to be a high security guarantee.
Therefore, this specification defines SLH-DSA as a standalone signature scheme.</t>
          <t>In deployments the performance characteristics of SLH-DSA should be taken into account.
We refer to <xref target="performance-considerations"/> for a discussion of the performance characteristics of this scheme.</t>
        </section>
      </section>
      <section anchor="elliptic-curve-cryptography">
        <name>Elliptic Curve Cryptography</name>
        <t>The ECDH encryption is defined here as a KEM via X25519 and X448 which are defined in <xref target="RFC7748"/>.
EdDSA as defined in <xref target="RFC8032"/> is used as the elliptic curve-based digital signature scheme.</t>
      </section>
      <section anchor="multi-algo-schemes">
        <name>Standalone and Multi-Algorithm Schemes</name>
        <t>This section provides a categorization of the new algorithms and their combinations.</t>
        <section anchor="composite-multi-alg">
          <name>Standalone and Composite Multi-Algorithm Schemes</name>
          <t>This specification introduces new cryptographic schemes, which can be categorized as follows:</t>
          <ul spacing="normal">
            <li>
              <t>PQ/T multi-algorithm public-key encryption, namely a composite combination of ML-KEM with an ECDH KEM,</t>
            </li>
            <li>
              <t>PQ/T multi-algorithm digital signature, namely composite combinations of ML-DSA with EdDSA signature schemes,</t>
            </li>
            <li>
              <t>PQ digital signature, namely SLH-DSA as a standalone cryptographic algorithm.</t>
            </li>
          </ul>
          <t>For each of the composite schemes, this specification mandates that the consuming party has to successfully perform the cryptographic algorithms for each of the component schemes used in a cryptographic message, in order for the message to be deciphered and considered as valid.
This means that all component signatures must be verified successfully in order to achieve a successful verification of the composite signature.
In the case of the composite public-key decryption, each of the component KEM decapsulation operations must succeed.</t>
        </section>
        <section anchor="non-composite-multi-alg">
          <name>Non-Composite Algorithm Combinations</name>
          <t>As the OpenPGP protocol <xref target="RFC9580"/> allows for multiple signatures to be applied to a single message, it is also possible to realize non-composite combinations of signatures.
Furthermore, multiple OpenPGP signatures may be combined on the application layer.
These latter two cases realize non-composite combinations of signatures.
<xref target="multiple-signatures"/> specifies how implementations should handle the verification of such combinations of signatures.</t>
          <t>Furthermore, the OpenPGP protocol also allows parallel encryption to different keys by using multiple PKESK packets, thus realizing non-composite multi-algorithm public-key encryption.</t>
        </section>
      </section>
    </section>
    <section anchor="supported-public-key-algorithms">
      <name>Supported Public Key Algorithms</name>
      <t>This section specifies the composite ML-KEM + ECDH and ML-DSA + EdDSA schemes as well as the standalone SLH-DSA signature scheme.
All of these schemes are fully specified via their algorithm ID, i.e., they are not parametrized.</t>
      <section anchor="algorithm-specifications">
        <name>Algorithm Specifications</name>
        <t>For signatures, the following (composite) signature schemes are specified:</t>
        <table anchor="sig-alg-specs">
          <name>Signature algorithm specifications</name>
          <thead>
            <tr>
              <th align="right">ID</th>
              <th align="left">Algorithm</th>
              <th align="left">Requirement</th>
              <th align="left">Definition</th>
            </tr>
          </thead>
          <tbody>
            <tr>
              <td align="right">30</td>
              <td align="left">ML-DSA-65+Ed25519</td>
              <td align="left">MUST</td>
              <td align="left">
                <xref target="ecc-mldsa"/></td>
            </tr>
            <tr>
              <td align="right">31</td>
              <td align="left">ML-DSA-87+Ed448</td>
              <td align="left">SHOULD</td>
              <td align="left">
                <xref target="ecc-mldsa"/></td>
            </tr>
            <tr>
              <td align="right">32</td>
              <td align="left">SLH-DSA-SHAKE-128s</td>
              <td align="left">MAY</td>
              <td align="left">
                <xref target="slhdsa"/></td>
            </tr>
            <tr>
              <td align="right">33</td>
              <td align="left">SLH-DSA-SHAKE-128f</td>
              <td align="left">MAY</td>
              <td align="left">
                <xref target="slhdsa"/></td>
            </tr>
            <tr>
              <td align="right">34</td>
              <td align="left">SLH-DSA-SHAKE-256s</td>
              <td align="left">MAY</td>
              <td align="left">
                <xref target="slhdsa"/></td>
            </tr>
          </tbody>
        </table>
        <t>For encryption, the following composite KEM schemes are specified:</t>
        <table anchor="kem-alg-specs">
          <name>KEM algorithm specifications</name>
          <thead>
            <tr>
              <th align="left">ID</th>
              <th align="left">Algorithm</th>
              <th align="left">Requirement</th>
              <th align="left">Definition</th>
            </tr>
          </thead>
          <tbody>
            <tr>
              <td align="left">35</td>
              <td align="left">ML-KEM-768+X25519</td>
              <td align="left">MUST</td>
              <td align="left">
                <xref target="ecc-mlkem"/></td>
            </tr>
            <tr>
              <td align="left">36</td>
              <td align="left">ML-KEM-1024+X448</td>
              <td align="left">SHOULD</td>
              <td align="left">
                <xref target="ecc-mlkem"/></td>
            </tr>
          </tbody>
        </table>
      </section>
    </section>
    <section anchor="algorithm-combinations">
      <name>Algorithm Combinations</name>
      <section anchor="composite-kem">
        <name>Composite KEMs</name>
        <t>The ML-KEM + ECDH public-key encryption involves both the ML-KEM and an ECDH KEM in an a priori non-separable manner.
This is achieved via KEM combination, i.e. both key encapsulations/decapsulations are performed in parallel, and the resulting key shares are fed into a key combiner to produce a single shared secret for message encryption.</t>
        <t>As explained in <xref target="non-composite-multi-alg"/>, the OpenPGP protocol inherently supports parallel encryption to different keys.
Note that the confidentiality of a message is not post-quantum secure when encrypting to different keys if at least one key does not support PQ(/T) encryption schemes.</t>
      </section>
      <section anchor="composite-signatures">
        <name>Composite Signatures</name>
        <t>The ML-DSA + EdDSA signature consists of independent ML-DSA and EdDSA signatures, and an implementation MUST successfully validate both signatures to state that the ML-DSA + EdDSA signature is valid.</t>
      </section>
      <section anchor="multiple-signatures">
        <name>Multiple Signatures</name>
        <t>The OpenPGP message format allows multiple signatures of a message, i.e. the attachment of multiple signature packets.</t>
        <t>An implementation MAY sign a message with a traditional key and a PQ(/T) key from the same sender.
This ensures backwards compatibility due to <eref target="https://www.rfc-editor.org/rfc/rfc9580#section-5.2.5">[RFC9580, Section 5.2.5]</eref>, since a legacy implementation without PQ(/T) support can fall back on the traditional signature.</t>
        <t>Newer implementations with PQ(/T) support MAY ignore the traditional signature(s) during validation.</t>
        <t>Implementations SHOULD consider the message correctly signed if at least one of the non-ignored signatures validates successfully.
This is an interpretation of <eref target="https://www.rfc-editor.org/rfc/rfc9580#section-5.2.5">[RFC9580, Section 5.2.5]</eref>.</t>
      </section>
      <section anchor="ecc-requirements">
        <name>ECC requirements</name>
        <t>Even though the zero point, also called the point at infinity, may occur as a result of arithmetic operations on points of an elliptic curve, it MUST NOT appear in any ECC data structure defined in this document.</t>
        <t>Furthermore, when performing the explicitly listed operations in <xref target="x25519-kem"/> or <xref target="x448-kem"/> it is REQUIRED to follow the specification and security advisory mandated from the respective elliptic curve specification.</t>
      </section>
      <section anchor="key-version-binding">
        <name>Key version binding</name>
        <t>All (PQ/T) asymmetric algorithms are to be used only in v6 (and newer) keys and certificates, with the single exception of ML-KEM-768+X25519 (algorithm ID 35), which is also allowed in v4 encryption-capable subkeys.
This permits the keyholder of an existing v4 certificate to add such a subkey to defend against store-now, decrypt-later attacks from quantum computers without moving to a new primary key.</t>
      </section>
    </section>
    <section anchor="composite-kem-schemes">
      <name>Composite KEM schemes</name>
      <section anchor="building-blocks">
        <name>Building Blocks</name>
        <section anchor="ecc-kem">
          <name>ECDH KEMs</name>
          <t>In this section we define the encryption, decryption, and data formats for the ECDH component of the composite algorithms.</t>
          <t><xref target="tab-ecdh-cfrg-artifacts"/> describes the ECDH-KEM parameters and artifact lengths.
The artifacts in <xref target="tab-ecdh-cfrg-artifacts"/> follow the encodings described in <xref target="RFC7748"/>.</t>
          <table anchor="tab-ecdh-cfrg-artifacts">
            <name>Montgomery curves parameters and artifact lengths</name>
            <thead>
              <tr>
                <th align="left"> </th>
                <th align="left">X25519</th>
                <th align="left">X448</th>
              </tr>
            </thead>
            <tbody>
              <tr>
                <td align="left">Algorithm ID reference</td>
                <td align="left">35</td>
                <td align="left">36</td>
              </tr>
              <tr>
                <td align="left">Field size</td>
                <td align="left">32 octets</td>
                <td align="left">56 octets</td>
              </tr>
              <tr>
                <td align="left">ECDH-KEM</td>
                <td align="left">x25519Kem (<xref target="x25519-kem"/>)</td>
                <td align="left">x448Kem (<xref target="x448-kem"/>)</td>
              </tr>
              <tr>
                <td align="left">ECDH public key</td>
                <td align="left">32 octets <xref target="RFC7748"/></td>
                <td align="left">56 octets <xref target="RFC7748"/></td>
              </tr>
              <tr>
                <td align="left">ECDH secret key</td>
                <td align="left">32 octets <xref target="RFC7748"/></td>
                <td align="left">56 octets <xref target="RFC7748"/></td>
              </tr>
              <tr>
                <td align="left">ECDH ephemeral</td>
                <td align="left">32 octets <xref target="RFC7748"/></td>
                <td align="left">56 octets <xref target="RFC7748"/></td>
              </tr>
              <tr>
                <td align="left">ECDH key share</td>
                <td align="left">32 octets <xref target="RFC7748"/></td>
                <td align="left">56 octets <xref target="RFC7748"/></td>
              </tr>
            </tbody>
          </table>
          <t>The various procedures to perform the operations of an ECDH KEM are defined in the following subsections.
Specifically, each of these subsections defines the instances of the following operations:</t>
          <artwork><![CDATA[
(ecdhCipherText, ecdhKeyShare) <- ECDH-KEM.Encaps(ecdhPublicKey)
]]></artwork>
          <t>and</t>
          <artwork><![CDATA[
(ecdhKeyShare) <- ECDH-KEM.Decaps(ecdhSecretKey, ecdhCipherText, ecdhPublicKey)
]]></artwork>
          <t>To instantiate <tt>ECDH-KEM</tt>, one must select a parameter set from <xref target="tab-ecdh-cfrg-artifacts"/>.</t>
          <section anchor="x25519-kem">
            <name>X25519-KEM</name>
            <t>The encapsulation and decapsulation operations of <tt>x25519kem</tt> are described using the function <tt>X25519()</tt> and encodings defined in <xref target="RFC7748"/>.
The <tt>ecdhSecretKey</tt> is denoted as <tt>r</tt>, the <tt>ecdhPublicKey</tt> as <tt>R</tt>, they are subject to the equation <tt>R = X25519(r, U(P))</tt>.
Here, <tt>U(P)</tt> denotes the u-coordinate of the base point of Curve25519.</t>
            <t>The operation <tt>x25519Kem.Encaps()</tt> is defined as follows:</t>
            <ol spacing="normal" type="1"><li>
                <t>Generate an ephemeral key pair {<tt>v</tt>, <tt>V</tt>} via <tt>V = X25519(v,U(P))</tt> where <tt>v</tt> is a randomly generated octet string with a length of 32 octets</t>
              </li>
              <li>
                <t>Compute the shared coordinate <tt>X = X25519(v, R)</tt> where <tt>R</tt> is the recipient's public key <tt>ecdhPublicKey</tt></t>
              </li>
              <li>
                <t>Set the output <tt>ecdhCipherText</tt> to <tt>V</tt></t>
              </li>
              <li>
                <t>Set the output <tt>ecdhKeyShare</tt> to <tt>X</tt></t>
              </li>
            </ol>
            <t>The operation <tt>x25519Kem.Decaps()</tt> is defined as follows:</t>
            <ol spacing="normal" type="1"><li>
                <t>Compute the shared coordinate <tt>X = X25519(r, V)</tt>, where <tt>r</tt> is the <tt>ecdhSecretKey</tt> and <tt>V</tt> is the <tt>ecdhCipherText</tt></t>
              </li>
              <li>
                <t>Set the output <tt>ecdhKeyShare</tt> to <tt>X</tt></t>
              </li>
            </ol>
          </section>
          <section anchor="x448-kem">
            <name>X448-KEM</name>
            <t>The encapsulation and decapsulation operations of <tt>x448kem</tt> are described using the function <tt>X448()</tt> and encodings defined in <xref target="RFC7748"/>.
The <tt>ecdhSecretKey</tt> is denoted as <tt>r</tt>, the <tt>ecdhPublicKey</tt> as <tt>R</tt>, they are subject to the equation <tt>R = X25519(r, U(P))</tt>.
Here, <tt>U(P)</tt> denotes the u-coordinate of the base point of Curve448.</t>
            <t>The operation <tt>x448.Encaps()</tt> is defined as follows:</t>
            <ol spacing="normal" type="1"><li>
                <t>Generate an ephemeral key pair {<tt>v</tt>, <tt>V</tt>} via <tt>V = X448(v,U(P))</tt> where <tt>v</tt> is a randomly generated octet string with a length of 56 octets</t>
              </li>
              <li>
                <t>Compute the shared coordinate <tt>X = X448(v, R)</tt> where <tt>R</tt> is the recipient's public key <tt>ecdhPublicKey</tt></t>
              </li>
              <li>
                <t>Set the output <tt>ecdhCipherText</tt> to <tt>V</tt></t>
              </li>
              <li>
                <t>Set the output <tt>ecdhKeyShare</tt> to <tt>X</tt></t>
              </li>
            </ol>
            <t>The operation <tt>x448Kem.Decaps()</tt> is defined as follows:</t>
            <ol spacing="normal" type="1"><li>
                <t>Compute the shared coordinate <tt>X = X448(r, V)</tt>, where <tt>r</tt> is the <tt>ecdhSecretKey</tt> and <tt>V</tt> is the <tt>ecdhCipherText</tt></t>
              </li>
              <li>
                <t>Set the output <tt>ecdhKeyShare</tt> to <tt>X</tt></t>
              </li>
            </ol>
          </section>
        </section>
        <section anchor="mlkem-ops">
          <name>ML-KEM</name>
          <t>ML-KEM features the following operations:</t>
          <artwork><![CDATA[
(mlkemCipherText, mlkemKeyShare) <- ML-KEM.Encaps(mlkemPublicKey)
]]></artwork>
          <t>and</t>
          <artwork><![CDATA[
(mlkemKeyShare) <- ML-KEM.Decaps(mlkemCipherText, mlkemSecretKey)
]]></artwork>
          <t>The above are the operations <tt>ML-KEM.Encaps</tt> and <tt>ML-KEM.Decaps</tt> defined in <xref target="FIPS-203"/>.
Note that <tt>mlkemPublicKey</tt> is the encapsulation and <tt>mlkemSecretKey</tt> is the decapsulation key.</t>
          <t>ML-KEM has the parametrization with the corresponding artifact lengths in octets as given in <xref target="tab-mlkem-artifacts"/>.
All artifacts are encoded as defined in <xref target="FIPS-203"/>.</t>
          <table anchor="tab-mlkem-artifacts">
            <name>ML-KEM parameters artifact lengths in octets</name>
            <thead>
              <tr>
                <th align="right">Algorithm ID reference</th>
                <th align="left">ML-KEM</th>
                <th align="left">Public key</th>
                <th align="left">Secret key</th>
                <th align="left">Ciphertext</th>
                <th align="left">Key share</th>
              </tr>
            </thead>
            <tbody>
              <tr>
                <td align="right">35</td>
                <td align="left">ML-KEM-768</td>
                <td align="left">1184</td>
                <td align="left">64</td>
                <td align="left">1088</td>
                <td align="left">32</td>
              </tr>
              <tr>
                <td align="right">36</td>
                <td align="left">ML-KEM-1024</td>
                <td align="left">1568</td>
                <td align="left">64</td>
                <td align="left">1568</td>
                <td align="left">32</td>
              </tr>
            </tbody>
          </table>
          <t>To instantiate <tt>ML-KEM</tt>, one must select a parameter set from the column "ML-KEM" of <xref target="tab-mlkem-artifacts"/>.</t>
          <t>The procedure to perform <tt>ML-KEM.Encaps()</tt> is as follows:</t>
          <ol spacing="normal" type="1"><li>
              <t>Invoke <tt>(mlkemCipherText, mlkemKeyShare) &lt;- ML-KEM.Encaps(mlkemPublicKey)</tt>, where <tt>mlkemPublicKey</tt> is the recipient's public key</t>
            </li>
            <li>
              <t>Set <tt>mlkemCipherText</tt> as the ML-KEM ciphertext</t>
            </li>
            <li>
              <t>Set <tt>mlkemKeyShare</tt> as the ML-KEM symmetric key share</t>
            </li>
          </ol>
          <t>The procedure to perform <tt>ML-KEM.Decaps()</tt> is as follows:</t>
          <ol spacing="normal" type="1"><li>
              <t>Invoke <tt>mlkemKeyShare &lt;-  ML-KEM.Decaps(mlkemCipherText, mlkemSecretKey)</tt></t>
            </li>
            <li>
              <t>Set <tt>mlkemKeyShare</tt> as the ML-KEM symmetric key share</t>
            </li>
          </ol>
        </section>
      </section>
      <section anchor="ecc-mlkem">
        <name>Composite Encryption Schemes with ML-KEM</name>
        <t><xref target="kem-alg-specs"/> specifies the following ML-KEM + ECDH composite public-key encryption schemes:</t>
        <table anchor="tab-mlkem-ecc-composite">
          <name>ML-KEM + ECDH composite schemes</name>
          <thead>
            <tr>
              <th align="right">Algorithm ID reference</th>
              <th align="left">ML-KEM</th>
              <th align="left">ECDH-KEM</th>
            </tr>
          </thead>
          <tbody>
            <tr>
              <td align="right">35</td>
              <td align="left">ML-KEM-768</td>
              <td align="left">x25519Kem</td>
            </tr>
            <tr>
              <td align="right">36</td>
              <td align="left">ML-KEM-1024</td>
              <td align="left">x448Kem</td>
            </tr>
          </tbody>
        </table>
        <t>The ML-KEM + ECDH composite public-key encryption schemes are built according to the following principal design:</t>
        <ul spacing="normal">
          <li>
            <t>The ML-KEM encapsulation algorithm is invoked to create an ML-KEM ciphertext together with an ML-KEM symmetric key share.</t>
          </li>
          <li>
            <t>The encapsulation algorithm of an ECDH KEM, namely X25519-KEM or X448-KEM, is invoked to create an ECDH ciphertext together with an ECDH symmetric key share.</t>
          </li>
          <li>
            <t>A Key-Encryption-Key (KEK) is computed as the output of a key combiner that receives as input both of the above created symmetric key shares and the protocol binding information.</t>
          </li>
          <li>
            <t>The session key for content encryption is then wrapped as described in <xref target="RFC3394"/> using AES-256 as algorithm and the KEK as key.</t>
          </li>
          <li>
            <t>The PKESK packet's algorithm-specific parts are made up of the ML-KEM ciphertext, the ECDH ciphertext, and the wrapped session key.</t>
          </li>
        </ul>
        <section anchor="kem-key-combiner">
          <name>Key combiner</name>
          <t>For the composite KEM schemes defined in <xref target="kem-alg-specs"/> the following procedure MUST be used to compute the KEK that wraps a session key.
The construction is a key derivation function compliant to <xref target="SP800-56C"/>, Section 4, based on SHA3-256.
It is given by the following algorithm, which computes the key encryption key <tt>KEK</tt> that is used to wrap, i.e., encrypt, the session key.</t>
          <artwork><![CDATA[
//   multiKeyCombine(
//       mlkemKeyShare, ecdhKeyShare,
//       ecdhCipherText, ecdhPublicKey,
//       algId
//   )
//
//   Input:
//   mlkemKeyShare   - the ML-KEM key share encoded as an octet string
//   ecdhKeyShare    - the ECDH key share encoded as an octet string
//   ecdhCipherText  - the ECDH ciphertext encoded as an octet string
//   ecdhPublicKey   - the ECDH public key of the recipient as an octet string
//   algId           - the OpenPGP algorithm ID of the public-key encryption algorithm

KEK = SHA3-256(
          mlkemKeyShare || ecdhKeyShare ||
          ecdhCipherText || ecdhPublicKey ||
          algId || domSep || len(domSep)
      )
return KEK
]]></artwork>
          <t>The value <tt>domSep</tt> is a constant set to the UTF-8 encoding of the string "OpenPGPCompositeKDFv1", i.e.</t>
          <artwork><![CDATA[
domSep := 4F 70 65 6E 50 47 50 43 6F 6D 70 6F 73 69 74 65 4B 44 46 76 31
]]></artwork>
          <t>Here <tt>len(domSep)</tt> is the single octet with the value equal to the octet-length of <tt>domSep</tt>, i.e., decimal 21.</t>
        </section>
        <section anchor="ecc-mlkem-generation">
          <name>Key generation procedure</name>
          <t>The implementation MUST generate the ML-KEM and the ECDH component keys independently.
ML-KEM key generation follows the specification <xref target="FIPS-203"/> and the artifacts are encoded as fixed-length octet strings as defined in <xref target="mlkem-ops"/>.
For ECDH this is done following the relative specification in <xref target="RFC7748"/>, and encoding the outputs as fixed-length octet strings in the format specified in <xref target="tab-ecdh-cfrg-artifacts"/>.</t>
        </section>
        <section anchor="ecc-mlkem-encryption">
          <name>Encryption procedure</name>
          <t>The procedure to perform public-key encryption with an ML-KEM + ECDH composite scheme is as follows:</t>
          <ol spacing="normal" type="1"><li>
              <t>Take the recipient's authenticated public-key packet <tt>pkComposite</tt> and <tt>sessionKey</tt> as input</t>
            </li>
            <li>
              <t>Parse the algorithm ID from <tt>pkComposite</tt> and set it as <tt>algId</tt></t>
            </li>
            <li>
              <t>Extract the <tt>ecdhPublicKey</tt> and <tt>mlkemPublicKey</tt> component from the algorithm specific data encoded in <tt>pkComposite</tt> with the format specified in <xref target="mlkem-ecc-key"/>.</t>
            </li>
            <li>
              <t>Instantiate the ECDH-KEM and the ML-KEM depending on the algorithm ID according to <xref target="tab-mlkem-ecc-composite"/></t>
            </li>
            <li>
              <t>Compute <tt>(ecdhCipherText, ecdhKeyShare) := ECDH-KEM.Encaps(ecdhPublicKey)</tt></t>
            </li>
            <li>
              <t>Compute <tt>(mlkemCipherText, mlkemKeyShare) := ML-KEM.Encaps(mlkemPublicKey)</tt></t>
            </li>
            <li>
              <t>Compute <tt>KEK := multiKeyCombine(mlkemKeyShare, ecdhKeyShare, ecdhCipherText, ecdhPublicKey, algId)</tt> as defined in <xref target="kem-key-combiner"/></t>
            </li>
            <li>
              <t>Compute <tt>C := AESKeyWrap(KEK, sessionKey)</tt> with AES-256 as per <xref target="RFC3394"/> that includes a 64 bit integrity check</t>
            </li>
            <li>
              <t>Output the algorithm specific part of the PKESK as <tt>ecdhCipherText || mlkemCipherText || len(C, symAlgId) (|| symAlgId)  || C</tt>, where both <tt>symAlgId</tt> and <tt>len(C, symAlgId)</tt> are single octet fields, <tt>symAlgId</tt> denotes the symmetric algorithm ID used and is present only for a v3 PKESK, and <tt>len(C, symAlgId)</tt> denotes the combined octet length of the fields specified as the arguments.</t>
            </li>
          </ol>
        </section>
        <section anchor="decryption-procedure">
          <name>Decryption procedure</name>
          <t>The procedure to perform public-key decryption with an ML-KEM + ECDH composite scheme is as follows:</t>
          <ol spacing="normal" type="1"><li>
              <t>Take the matching PKESK and own secret key packet as input</t>
            </li>
            <li>
              <t>From the PKESK extract the algorithm ID as <tt>algId</tt> and the wrapped session key as <tt>encryptedKey</tt></t>
            </li>
            <li>
              <t>Check that the own and the extracted algorithm ID match</t>
            </li>
            <li>
              <t>Parse the <tt>ecdhSecretKey</tt> and <tt>mlkemSecretKey</tt> from the algorithm specific data of the own secret key encoded in the format specified in <xref target="mlkem-ecc-key"/></t>
            </li>
            <li>
              <t>Instantiate the ECDH-KEM and the ML-KEM depending on the algorithm ID according to <xref target="tab-mlkem-ecc-composite"/></t>
            </li>
            <li>
              <t>Parse <tt>ecdhCipherText</tt>, <tt>mlkemCipherText</tt>, and <tt>C</tt> from <tt>encryptedKey</tt> encoded as <tt>ecdhCipherText || mlkemCipherText || len(C,symAlgId) (|| symAlgId) || C</tt> as specified in <xref target="ecc-mlkem-pkesk"/>, where <tt>symAlgId</tt> is present only in the case of a v3 PKESK.</t>
            </li>
            <li>
              <t>Compute <tt>(ecdhKeyShare) := ECDH-KEM.Decaps(ecdhCipherText, ecdhSecretKey, ecdhPublicKey)</tt></t>
            </li>
            <li>
              <t>Compute <tt>(mlkemKeyShare) := ML-KEM.Decaps(mlkemCipherText, mlkemSecretKey)</tt></t>
            </li>
            <li>
              <t>Compute <tt>KEK := multiKeyCombine(mlkemKeyShare, ecdhKeyShare, ecdhCipherText, ecdhPublicKey, algId)</tt> as defined in <xref target="kem-key-combiner"/></t>
            </li>
            <li>
              <t>Compute <tt>sessionKey := AESKeyUnwrap(KEK, C)</tt>  with AES-256 as per <xref target="RFC3394"/>, aborting if the 64 bit integrity check fails</t>
            </li>
            <li>
              <t>Output <tt>sessionKey</tt></t>
            </li>
          </ol>
        </section>
      </section>
      <section anchor="packet-specifications">
        <name>Packet specifications</name>
        <section anchor="ecc-mlkem-pkesk">
          <name>Public-Key Encrypted Session Key Packets (Tag 1)</name>
          <t>The algorithm-specific fields consists of the output of the encryption procedure described in <xref target="ecc-mlkem-encryption"/>:</t>
          <ul spacing="normal">
            <li>
              <t>A fixed-length octet string representing an ECDH ephemeral public key in the format associated with the curve as specified in <xref target="ecc-kem"/>.</t>
            </li>
            <li>
              <t>A fixed-length octet string of the ML-KEM ciphertext, whose length depends on the algorithm ID as specified in <xref target="tab-mlkem-artifacts"/>.</t>
            </li>
            <li>
              <t>A one-octet size of the following fields.</t>
            </li>
            <li>
              <t>Only in the case of a v3 PKESK packet: a one-octet symmetric algorithm identifier.</t>
            </li>
            <li>
              <t>The wrapped session key represented as an octet string.</t>
            </li>
          </ul>
          <t>Note that like in the case of the algorithms X25519 and X448 specified in <xref target="RFC9580"/>, for the ML-KEM composite schemes, in the case of a v3 PKESK packet, the symmetric algorithm identifier is not encrypted.
Instead, it is placed in plaintext after the <tt>mlkemCipherText</tt> and before the length octet preceding the wrapped session key.
In the case of v3 PKESK packets for ML-KEM composite schemes, the symmetric algorithm used MUST be AES-128, AES-192 or AES-256 (algorithm ID 7, 8 or 9).</t>
          <t>In the case of a v3 PKESK, a receiving implementation MUST check if the length of the unwrapped symmetric key matches the symmetric algorithm identifier, and abort if this is not the case.</t>
          <t>Implementations MUST NOT use the obsolete Symmetrically Encrypted Data packet (tag 9) to encrypt data protected with the algorithms described in this document.</t>
        </section>
        <section anchor="mlkem-ecc-key">
          <name>Key Material Packets</name>
          <t>The composite ML-KEM-768 + X25519 (algorithm ID 35) MUST be used only with v4 or v6 keys, as defined in <xref target="RFC9580"/>, or newer versions defined by updates of that document.</t>
          <t>The composite ML-KEM-1024 + X448 (algorithm ID 36) MUST be used only with v6 keys, as defined in <xref target="RFC9580"/>, or newer versions defined by updates of that document.</t>
          <t>The algorithm-specific public key is this series of values:</t>
          <ul spacing="normal">
            <li>
              <t>A fixed-length octet string representing an EC point public key, in the point format associated with the curve specified in <xref target="ecc-kem"/>.</t>
            </li>
            <li>
              <t>A fixed-length octet string containing the ML-KEM public key, whose length depends on the algorithm ID as specified in <xref target="tab-mlkem-artifacts"/>.</t>
            </li>
          </ul>
          <t>The algorithm-specific secret key is these two values:</t>
          <ul spacing="normal">
            <li>
              <t>A fixed-length octet string of the encoded secret scalar, whose encoding and length depend on the algorithm ID as specified in <xref target="ecc-kem"/>.</t>
            </li>
            <li>
              <t>A fixed-length octet string containing the ML-KEM secret key in seed format, whose length is 64 octets (compare <xref target="tab-mlkem-artifacts"/>).
The seed format is defined in accordance with <xref target="FIPS-203"/>, Section 3.3.
Namely, the secret key is given by the concatenation of the values of <tt>d</tt>  and <tt>z</tt>, generated in steps 1 and 2 of <tt>ML-KEM.KeyGen</tt> <xref target="FIPS-203"/>, each of a length of 32 octets.
Upon parsing the secret key format, or before using the secret key, for the expansion of the key, the function <tt>ML-KEM.KeyGen_internal</tt> <xref target="FIPS-203"/> has to be invoked with the parsed values of <tt>d</tt> and <tt>z</tt> as input.</t>
            </li>
          </ul>
        </section>
      </section>
    </section>
    <section anchor="composite-signature-schemes">
      <name>Composite Signature Schemes</name>
      <section anchor="building-blocks-1">
        <name>Building blocks</name>
        <section anchor="eddsa-signature">
          <name>EdDSA-Based signatures</name>
          <t>Throughout this specification EdDSA refers to the PureEdDSA variant defined in
<xref target="RFC8032"/>.</t>
          <t>To sign and verify with EdDSA the following operations are defined:</t>
          <artwork><![CDATA[
(eddsaSignature) <- EdDSA.Sign(eddsaSecretKey, dataDigest)
]]></artwork>
          <t>and</t>
          <artwork><![CDATA[
(verified) <- EdDSA.Verify(eddsaPublicKey, eddsaSignature, dataDigest)
]]></artwork>
          <t>The public and secret key, as well as the signature MUST be encoded according to <xref target="RFC8032"/> as fixed-length octet strings.
The following table describes the EdDSA parameters and artifact lengths:</t>
          <table anchor="tab-eddsa-artifacts">
            <name>EdDSA parameters and artifact lengths in octets</name>
            <thead>
              <tr>
                <th align="right">Algorithm ID reference</th>
                <th align="left">Curve</th>
                <th align="left">Field size</th>
                <th align="left">Public key</th>
                <th align="left">Secret key</th>
                <th align="left">Signature</th>
              </tr>
            </thead>
            <tbody>
              <tr>
                <td align="right">30</td>
                <td align="left">Ed25519</td>
                <td align="left">32</td>
                <td align="left">32</td>
                <td align="left">32</td>
                <td align="left">64</td>
              </tr>
              <tr>
                <td align="right">31</td>
                <td align="left">Ed448</td>
                <td align="left">57</td>
                <td align="left">57</td>
                <td align="left">57</td>
                <td align="left">114</td>
              </tr>
            </tbody>
          </table>
        </section>
        <section anchor="mldsa-signature">
          <name>ML-DSA signatures</name>
          <t>Throughout this specification ML-DSA refers to the default pure and hedged version of ML-DSA defined in <xref target="FIPS-204"/>.</t>
          <t>For ML-DSA signature generation the default hedged version of the algorithm <tt>ML-DSA.Sign</tt> given in <xref target="FIPS-204"/> is used.
That is, to sign with ML-DSA the following operation is defined:</t>
          <artwork><![CDATA[
(mldsaSignature) <- ML-DSA.Sign(mldsaSecretKey, dataDigest)
]]></artwork>
          <t>For ML-DSA signature verification the algorithm <tt>ML-DSA.Verify</tt> given in <xref target="FIPS-204"/> is used.
That is, to verify with ML-DSA the following operation is defined:</t>
          <artwork><![CDATA[
(verified) <- ML-DSA.Verify(mldsaPublicKey, dataDigest, mldsaSignature)
]]></artwork>
          <t>ML-DSA has the parametrization with the corresponding artifact lengths in octets as given in <xref target="tab-mldsa-artifacts"/>.
All artifacts are encoded as defined in <xref target="FIPS-204"/>.</t>
          <table anchor="tab-mldsa-artifacts">
            <name>ML-DSA parameters and artifact lengths in octets</name>
            <thead>
              <tr>
                <th align="right">Algorithm ID reference</th>
                <th align="left">ML-DSA</th>
                <th align="left">Public key</th>
                <th align="left">Secret key</th>
                <th align="left">Signature value</th>
              </tr>
            </thead>
            <tbody>
              <tr>
                <td align="right">30</td>
                <td align="left">ML-DSA-65</td>
                <td align="left">1952</td>
                <td align="left">32</td>
                <td align="left">3309</td>
              </tr>
              <tr>
                <td align="right">31</td>
                <td align="left">ML-DSA-87</td>
                <td align="left">2592</td>
                <td align="left">32</td>
                <td align="left">4627</td>
              </tr>
            </tbody>
          </table>
        </section>
      </section>
      <section anchor="ecc-mldsa">
        <name>Composite Signature Schemes with ML-DSA</name>
        <section anchor="ecc-mldsa-generation">
          <name>Key generation procedure</name>
          <t>The implementation MUST generate the ML-DSA and the EdDSA component keys independently.
ML-DSA key generation follows the specification <xref target="FIPS-204"/> and the artifacts are encoded as fixed-length octet strings as defined in <xref target="mldsa-signature"/>.
For EdDSA this is done following the relative specification in <xref target="RFC7748"/>, and encoding the artifacts as specified in <xref target="eddsa-signature"/> as fixed-length octet strings.</t>
        </section>
        <section anchor="signature-generation">
          <name>Signature Generation</name>
          <t>To sign a message <tt>M</tt> with ML-DSA + EdDSA the following sequence of operations has to be performed:</t>
          <ol spacing="normal" type="1"><li>
              <t>Generate <tt>dataDigest</tt> according to <eref target="https://www.rfc-editor.org/rfc/rfc9580#section-5.2.4">[RFC9580, Section 5.2.4]</eref></t>
            </li>
            <li>
              <t>Create the EdDSA signature over <tt>dataDigest</tt> with <tt>EdDSA.Sign()</tt> from <xref target="eddsa-signature"/></t>
            </li>
            <li>
              <t>Create the ML-DSA signature over <tt>dataDigest</tt> with <tt>ML-DSA.Sign()</tt> from <xref target="mldsa-signature"/></t>
            </li>
            <li>
              <t>Encode the EdDSA and ML-DSA signatures according to the packet structure given in <xref target="ecc-mldsa-sig-packet"/>.</t>
            </li>
          </ol>
        </section>
        <section anchor="signature-verification">
          <name>Signature Verification</name>
          <t>To verify an ML-DSA + EdDSA signature the following sequence of operations has to be performed:</t>
          <ol spacing="normal" type="1"><li>
              <t>Verify the EdDSA signature with <tt>EdDSA.Verify()</tt> from <xref target="eddsa-signature"/></t>
            </li>
            <li>
              <t>Verify the ML-DSA signature with <tt>ML-DSA.Verify()</tt> from <xref target="mldsa-signature"/></t>
            </li>
          </ol>
          <t>As specified in <xref target="composite-signatures"/> an implementation MUST validate both signatures, i.e. EdDSA and ML-DSA, successfully to state that a composite ML-DSA + EdDSA signature is valid.</t>
        </section>
      </section>
      <section anchor="packet-specifications-1">
        <name>Packet Specifications</name>
        <section anchor="ecc-mldsa-sig-packet">
          <name>Signature Packet (Tag 2)</name>
          <t>The composite ML-DSA + EdDSA schemes MUST be used only with v6 signatures, as defined in <xref target="RFC9580"/>, or newer versions defined by updates of that document.</t>
          <t>The algorithm-specific v6 signature parameters for ML-DSA + EdDSA signatures consist of:</t>
          <ul spacing="normal">
            <li>
              <t>A fixed-length octet string representing the EdDSA signature, whose length depends on the algorithm ID as specified in <xref target="tab-eddsa-artifacts"/>.</t>
            </li>
            <li>
              <t>A fixed-length octet string of the ML-DSA signature value, whose length depends on the algorithm ID as specified in <xref target="tab-mldsa-artifacts"/>.</t>
            </li>
          </ul>
        </section>
        <section anchor="key-material-packets">
          <name>Key Material Packets</name>
          <t>The composite ML-DSA + EdDSA schemes MUST be used only with v6 keys, as defined in <xref target="RFC9580"/>, or newer versions defined by updates of that document.</t>
          <t>The algorithm-specific public key for ML-DSA + EdDSA keys is this series of values:</t>
          <ul spacing="normal">
            <li>
              <t>A fixed-length octet string representing the EdDSA public key, whose length depends on the algorithm ID as specified in <xref target="tab-eddsa-artifacts"/>.</t>
            </li>
            <li>
              <t>A fixed-length octet string containing the ML-DSA public key, whose length depends on the algorithm ID as specified in <xref target="tab-mldsa-artifacts"/>.</t>
            </li>
          </ul>
          <t>The algorithm-specific secret key for ML-DSA + EdDSA keys is this series of values:</t>
          <ul spacing="normal">
            <li>
              <t>A fixed-length octet string representing the EdDSA secret key, whose length depends on the algorithm ID as specified in <xref target="tab-eddsa-artifacts"/>.</t>
            </li>
            <li>
              <t>A fixed-length octet string containing the ML-DSA secret key in seed format, whose length is 32 octets (compare <xref target="tab-mldsa-artifacts"/>).
The seed format is defined in accordance with <xref target="FIPS-204"/>, Section 3.6.3.
Namely, the secret key is given by the value <tt>xi</tt> generated in step 1 of <tt>ML-DSA.KeyGen</tt> <xref target="FIPS-204"/>.
Upon parsing the secret key format, or before using the secret key, for the expansion of the key, the function <tt>ML-DSA.KeyGen_internal</tt> <xref target="FIPS-204"/> has to be invoked with the parsed value of <tt>xi</tt> as input.</t>
            </li>
          </ul>
        </section>
      </section>
    </section>
    <section anchor="slh-dsa-1">
      <name>SLH-DSA</name>
      <t>Throughout this specification SLH-DSA refers to the default pure and hedged version of SLH-DSA defined in <xref target="FIPS-205"/>.</t>
      <section anchor="slhdsa">
        <name>The SLH-DSA Algorithms</name>
        <t>The following table lists the group of algorithm code points for the SLH-DSA signature scheme and the corresponding artifact lengths.
This group of algorithms is henceforth referred to as "SLH-DSA code points".</t>
        <table anchor="slhdsa-artifact-lengths">
          <name>SLH-DSA algorithm code points and the corresponding artifact lengths in octets.</name>
          <thead>
            <tr>
              <th align="right">Algorithm ID reference</th>
              <th align="left">SLH-DSA public key</th>
              <th align="left">SLH-DSA secret key</th>
              <th align="left">SLH-DSA signature</th>
            </tr>
          </thead>
          <tbody>
            <tr>
              <td align="right">32</td>
              <td align="left">32</td>
              <td align="left">64</td>
              <td align="left">7856</td>
            </tr>
            <tr>
              <td align="right">33</td>
              <td align="left">32</td>
              <td align="left">64</td>
              <td align="left">17088</td>
            </tr>
            <tr>
              <td align="right">34</td>
              <td align="left">64</td>
              <td align="left">128</td>
              <td align="left">29792</td>
            </tr>
          </tbody>
        </table>
        <section anchor="key-generation">
          <name>Key generation</name>
          <t>SLH-DSA key generation is performed via the algorithm <tt>SLH-DSA.KeyGen</tt> as specified in <xref target="FIPS-205"/>, and the artifacts are encoded as fixed-length octet strings as defined in <xref target="slhdsa"/>.</t>
        </section>
        <section anchor="signature-generation-1">
          <name>Signature Generation</name>
          <t>SLH-DSA signature generation is performed via the default hedged version of the algorithm <tt>SLH-DSA.Sign</tt> as specified in <xref target="FIPS-205"/>.</t>
        </section>
        <section anchor="signature-verification-1">
          <name>Signature Verification</name>
          <t>SLH-DSA signature verification is performed via the algorithm <tt>SLH-DSA.Verify</tt> as specified in <xref target="FIPS-205"/>.</t>
        </section>
      </section>
      <section anchor="packet-specifications-2">
        <name>Packet specifications</name>
        <section anchor="signature-packet-tag-2">
          <name>Signature Packet (Tag 2)</name>
          <t>The SLH-DSA algorithms MUST be used only with v6 signatures, as defined in <eref target="https://www.rfc-editor.org/rfc/rfc9580#section-5.2.3">[RFC9580, Section 5.2.3]</eref>.</t>
          <t>The algorithm-specific part of a signature packet for an SLH-DSA algorithm code point consists of:</t>
          <ul spacing="normal">
            <li>
              <t>A fixed-length octet string of the SLH-DSA signature value, whose length depends on the algorithm ID in the format specified in <xref target="slhdsa-artifact-lengths"/>.</t>
            </li>
          </ul>
        </section>
        <section anchor="key-material-packets-1">
          <name>Key Material Packets</name>
          <t>The SLH-DSA algorithms code points MUST be used only with v6 keys, as defined in <xref target="RFC9580"/>, or newer versions defined by updates of that document.</t>
          <t>The algorithm-specific part of the public key consists of:</t>
          <ul spacing="normal">
            <li>
              <t>A fixed-length octet string containing the SLH-DSA public key, whose length depends on the algorithm ID as specified in <xref target="slhdsa-artifact-lengths"/>.</t>
            </li>
          </ul>
          <t>The algorithm-specific part of the secret key consists of:</t>
          <ul spacing="normal">
            <li>
              <t>A fixed-length octet string containing the SLH-DSA secret key, whose length depends on the algorithm ID as specified in <xref target="slhdsa-artifact-lengths"/>.</t>
            </li>
          </ul>
        </section>
      </section>
    </section>
    <section anchor="notes-on-algorithms">
      <name>Notes on Algorithms</name>
      <section anchor="symmetric-algorithms-for-seipd-packets">
        <name>Symmetric Algorithms for SEIPD Packets</name>
        <t>Implementations MUST implement <tt>AES-256</tt>.
An implementation SHOULD use <tt>AES-256</tt> in the case of a v1 SEIPD packet, or <tt>AES-256</tt> with any available AEAD mode in the case of a v2 SEIPD packet, if all recipient certificates indicate support for it (explicitly or implicitly).</t>
        <t>A certificate that contains a PQ(/T) key SHOULD include <tt>AES-256</tt> in the "Preferred Symmetric Ciphers for v1 SEIPD" subpacket and SHOULD include the pair <tt>AES-256</tt> with <tt>OCB</tt> in the "Preferred AEAD Ciphersuites" subpacket.</t>
        <t>If <tt>AES-256</tt> is not explicitly in the list of the "Preferred Symmetric Ciphers for v1 SEIPD" subpacket, and if the certificate contains a PQ(/T) key, it is implicitly at the end of the list.
This is justified since <tt>AES-256</tt> is mandatory to implement.
If <tt>AES-128</tt> is also implicitly added to the list, it is added after <tt>AES-256</tt>.</t>
        <t>If the pair <tt>AES-256</tt> with <tt>OCB</tt> is not explicitly in the list of the "Preferred AEAD Ciphersuites" subpacket, and if the certificate contains a PQ(/T) key, it is implicitly at the end of the list.
This is justified since <tt>AES-256</tt> and <tt>OCB</tt> are mandatory to implement.
If the pair <tt>AES-128</tt> with <tt>OCB</tt> is also implicitly added to the list, it is added after the pair <tt>AES-256</tt> with <tt>OCB</tt>.</t>
      </section>
      <section anchor="hash-algorithms-for-key-binding-signatures">
        <name>Hash Algorithms for Key Binding Signatures</name>
        <t>Subkey binding signatures over algorithms described in this document and primary key binding signatures made by algorithms described in this document MUST NOT be made with <tt>MD5</tt>, <tt>SHA-1</tt>, or <tt>RIPEMD-160</tt>.
A receiving implementation MUST treat such a signature as invalid.</t>
      </section>
    </section>
    <section anchor="migration-considerations">
      <name>Migration Considerations</name>
      <t>The post-quantum KEM algorithms defined in <xref target="kem-alg-specs"/> and the signature algorithms defined in <xref target="sig-alg-specs"/> are a set of new public key algorithms that extend the algorithm selection of <xref target="RFC9580"/>.
During the transition period, the post-quantum algorithms will not be supported by all clients.
Therefore various migration considerations must be taken into account, in particular backwards compatibility to existing implementations that have not yet been updated to support the post-quantum algorithms.</t>
      <section anchor="encrypting-to-traditional-and-pqt-keys">
        <name>Encrypting to Traditional and PQ(/T) Keys</name>
        <t>As noted in <xref target="composite-kem"/>, the confidentiality of a message is not post-quantum secure when using multiple PKESKs if at least one does not use PQ(/T) encryption schemes.
An implementation should not abort the encryption process when encrypting a message to both PQ(/T) and traditional keys to allow for a smooth transition to post-quantum cryptography.</t>
      </section>
      <section anchor="signing-with-traditional-and-pqt-keys">
        <name>Signing with Traditional and PQ(/T) Keys</name>
        <t>An implementation may sign with both a PQ(/T) and a traditional key using multiple signatures over the same data as described in <xref target="multiple-signatures"/>.
Signing only with PQ(/T) key material is not backwards compatible.</t>
      </section>
      <section anchor="key-generation-strategies">
        <name>Key generation strategies</name>
        <t>It is RECOMMENDED to generate fresh secrets when generating PQ(/T) keys.
Note that reusing key material from existing ECC keys in PQ(/T) keys does not provide backwards compatibility.</t>
        <t>An OpenPGP certificate is composed of a certification-capable primary key and one or more subkeys for signature, encryption, and authentication.
Two migration strategies are recommended:</t>
        <ol spacing="normal" type="1"><li>
            <t>Generate two independent certificates, one for PQ(/T)-capable implementations, and one for legacy implementations.
Implementations not understanding PQ(/T) certificates can use the legacy certificate, while PQ(/T)-capable implementations can also use the newer certificate.
This allows having a traditional certificate for compatibility and a v6 PQ(/T) certificate, at a greater complexity in key distribution.</t>
          </li>
          <li>
            <t>Attach PQ(/T) encryption or signature subkeys to an existing traditional v6 OpenPGP certificate.
Implementations understanding PQ(/T) will be able to parse and use the subkeys, while PQ(/T)-incapable implementations can gracefully ignore them.
This simplifies key distribution, as only one certificate needs to be communicated and verified, but leaves the primary key vulnerable to quantum computer attacks.</t>
          </li>
        </ol>
      </section>
    </section>
    <section anchor="security-considerations">
      <name>Security Considerations</name>
      <section anchor="security-aspects-of-composite-signatures">
        <name>Security Aspects of Composite Signatures</name>
        <t>When multiple signatures are applied to a message, the question of the protocol's resistance against signature stripping attacks naturally arises.
In a signature stripping attack, an adversary removes one or more of the signatures such that only a subset of the signatures remain in the message at the point when it is verified.
This amounts to a downgrade attack that potentially reduces the value of the signature.
It should be noted that the composite signature schemes specified in this draft are not subject to a signature stripping vulnerability.
This is due to the fact that in any OpenPGP signature, the hashed meta data includes the signature algorithm ID, as specified in <eref target="https://www.rfc-editor.org/rfc/rfc9580#section-5.2.4">[RFC9580, Section 5.2.4]</eref>.
As a consequence, a component signature taken out of the context of a specific composite algorithm is not a valid signature for any message.</t>
        <t>Furthermore, it is also not possible to craft a new signature for a message that was signed twice with a composite algorithm by interchanging (i.e., remixing) the component signatures, which would classify as a weak existential forgery.
This is due to the fact that each v6 signatures also includes a random salt at the start of the hashed meta data, as also specified in the aforementioned reference.</t>
      </section>
      <section anchor="sec-key-combiner">
        <name>Key combiner</name>
        <t>For the key combination in <xref target="kem-key-combiner"/> this specification limits itself to the use of SHA3-256 in a construction following <xref target="SP800-56C"/>.
A central security notion of a key combiner is IND-CCA2-security. It is argued in <xref target="BCD_24"/> that the key combiner specified in <xref target="kem-key-combiner"/> is IND-CCA2-secure if ML-KEM is IND-CCA2-secure or the Strong Diffie-Hellman problem in a nominal group holds. Note that Curve25519 and Curve448 qualify as such nominal groups <xref target="ABH_21"/>.</t>
        <t>Note that the inclusion of the EC public key in the key combiner also accounts for multi-target attacks against X25519 and X448.</t>
        <section anchor="sec-fixed-info">
          <name>Domain separation and context binding</name>
          <t>The <tt>domSep</tt> information defined in <xref target="kem-key-combiner"/> provides the domain separation for the key combiner construction.
This ensures that the input keying material is used to generate a KEK for a specific purpose.
Appending the length octet ensures that no collisions can result across different domains, which might be defined in the future.
This is because <tt>domSep || len(domSep)</tt> is guaranteed to result in a suffix-free set of octet strings even if further values should be defined for <tt>dompSep</tt>.
The term "suffix-free" applied to a set of words indicates that no word is the suffix of another.
Thus this property ensures unambiguous parsing of a word from the rear of a string. Unambiguous parseability, in turn, ensures that no collisions can happen on the space of input strings to the key combiner.</t>
          <t>The algorithm ID, passed as the <tt>algID</tt> parameter to <tt>multiKeyCombine</tt>, binds the derived KEK to the chosen algorithm.
The algorithm ID identifies unequivocally the algorithm, the parameters for its instantiation, and the length of all artifacts, including the derived key.</t>
        </section>
      </section>
      <section anchor="hedged-sec-cons">
        <name>ML-DSA and SLH-DSA hedged variants</name>
        <t>This specification makes use of the default "hedged" variants of ML-DSA and SLH-DSA, which mix fresh randomness into the respective signature-generation algorithm's internal hashing step.
This has the advantage of an enhanced side-channel resistance of the signature operations according to  <xref target="FIPS-204"/> and <xref target="FIPS-205"/>.</t>
      </section>
      <section anchor="symmetric-algorithms-for-seipd-packets-1">
        <name>Symmetric Algorithms for SEIPD Packets</name>
        <t>This specification mandates support for <tt>AES-256</tt> for two reasons.
First, <tt>AES-KeyWrap</tt> with <tt>AES-256</tt> is already part of the composite KEM construction.
Second, some of the PQ(/T) algorithms target the security level of <tt>AES-256</tt>.</t>
        <t>For the same reasons, this specification further recommends the use of <tt>AES-256</tt> if it is supported by all recipient certificates, regardless of what the implementation would otherwise choose based on the recipients' preferences.
This recommendation should be understood as a clear and simple rule for the selection of <tt>AES-256</tt> for encryption.
Implementations may also make more nuanced decisions.</t>
      </section>
      <section anchor="key-generation-1">
        <name>Key generation</name>
        <t>When generating keys, this specification requires component keys to be generated independently, and recommends not to reuse existing keys for any of the components.
Note that reusing a key across different protocols may lead to signature confusion vulnerabilities, that formally classify as signature forgeries. Generally, reusing a key for different purposes may lead to subtle vulnerabilities.</t>
      </section>
    </section>
    <section anchor="additional-considerations">
      <name>Additional considerations</name>
      <section anchor="performance-considerations">
        <name>Performance Considerations for SLH-DSA</name>
        <t>This specification introduces both ML-DSA + EdDSA as well as SLH-DSA as PQ(/T) signature schemes.</t>
        <t>Generally, it can be said that ML-DSA + EdDSA provides a performance in terms of execution time requirements that is close to that of traditional ECC signature schemes.
Regarding the size of signatures and public keys, though, ML-DSA has far greater requirements than traditional schemes like EC-based or even RSA signature schemes.</t>
        <t>Implementers may want to offer SLH-DSA for applications where the weaker security assumptions of a hash-based signature scheme are required – namely only the 2nd preimage resistance of a hash function – and thus a potentially higher degree of trust in the long-term security of signatures is achieved.
However, SLH-DSA has performance characteristics in terms of execution time of the signature generation as well as space requirements for the signature that are even greater than those of ML-DSA + EdDSA signature schemes.</t>
        <t>Pertaining to the execution time, the particularly costly operation in SLH-DSA is the signature generation.
Depending on the parameter set, it can range from approximately the one hundred fold to more than the two thousand fold of that of ML-DSA-87.
These number are based on the performance measurements published in the NIST submissions for SLH-DSA and ML-DSA.
In order to achieve fast signature generation times, the algorithm SLH-DSA-SHAKE-128f ("f" standing for "fast") should be chosen.
This comes at the expense of a larger signature size.
This choice can be relevant in applications where mass signing occurs or a small latency is required.</t>
        <t>In order to minimize the space requirements of an SLH-DSA signature, an algorithm ID with the name ending in "s" for "small" should be chosen.
This comes at the expense of a longer signature generation time.
In particular, SLH-DSA-SHAKE-128s achieves the smallest possible signature size, which is about the double size of an ML-DSA-87 signature.
Where a higher security level than 128 bit is needed, SLH-DSA-SHAKE-256s can be used.</t>
        <t>Unlike the signature generation time, the signature verification time of SLH-DSA is not that much larger than that of other PQC schemes.
Based on the performance measurements published in the NIST submissions for SLH-DSA and ML-DSA, the verification time of the SLH-DSA is, for the parameters covered by this specification, larger than that of ML-DSA-87 by a factor ranging from four (for -128s) over nine (for -256s) to twelve (for -128f).</t>
      </section>
    </section>
    <section anchor="iana-considerations">
      <name>IANA Considerations</name>
      <t>IANA is requested to add the algorithm IDs defined in <xref target="iana-pubkey-algos"/> to the existing registry <tt>OpenPGP Public Key Algorithms</tt>.
The field specifications enclosed in brackets for the ML-KEM + ECDH composite algorithms denote fields that are only conditionally contained in the data structure.</t>
      <table anchor="iana-pubkey-algos">
        <name>IANA updates for registry 'OpenPGP Public Key Algorithms'</name>
        <thead>
          <tr>
            <th align="left">ID</th>
            <th align="left">Algorithm</th>
            <th align="right">Public Key Format</th>
            <th align="right">Secret Key Format</th>
            <th align="right">Signature Format</th>
            <th align="right">PKESK Format</th>
            <th align="right">Reference</th>
          </tr>
        </thead>
        <tbody>
          <tr>
            <td align="left">30</td>
            <td align="left">ML-DSA-65+Ed25519</td>
            <td align="right">32 octets Ed25519 public key (<xref target="tab-eddsa-artifacts"/>), 1952 octets ML-DSA-65 public key (<xref target="tab-mldsa-artifacts"/>)</td>
            <td align="right">32 octets Ed25519 secret key (<xref target="tab-eddsa-artifacts"/>), 4032  octets ML-DSA-65 secret (<xref target="tab-mldsa-artifacts"/>)</td>
            <td align="right">64 octets Ed25519 signature (<xref target="tab-eddsa-artifacts"/>), 3293 octets ML-DSA-65 signature (<xref target="tab-mldsa-artifacts"/>)</td>
            <td align="right">N/A</td>
            <td align="right">
              <xref target="ecc-mldsa"/></td>
          </tr>
          <tr>
            <td align="left">31</td>
            <td align="left">ML-DSA-87+Ed448</td>
            <td align="right">57 octets Ed448 public key (<xref target="tab-eddsa-artifacts"/>),  2592 octets ML-DSA-87 public key (<xref target="tab-mldsa-artifacts"/>)</td>
            <td align="right">57 octets Ed448 secret key (<xref target="tab-eddsa-artifacts"/>), 4896 octets ML-DSA-87 secret (<xref target="tab-mldsa-artifacts"/>)</td>
            <td align="right">114 octets Ed448 signature (<xref target="tab-eddsa-artifacts"/>), 4595 octets ML-DSA-87 signature (<xref target="tab-mldsa-artifacts"/>)</td>
            <td align="right">N/A</td>
            <td align="right">
              <xref target="ecc-mldsa"/></td>
          </tr>
          <tr>
            <td align="left">32</td>
            <td align="left">SLH-DSA-SHAKE-128s</td>
            <td align="right">32 octets public key (<xref target="slhdsa-artifact-lengths"/>)</td>
            <td align="right">64 octets secret key (<xref target="slhdsa-artifact-lengths"/>)</td>
            <td align="right">7856 octets signature (<xref target="slhdsa-artifact-lengths"/>)</td>
            <td align="right">N/A</td>
            <td align="right">
              <xref target="slhdsa"/></td>
          </tr>
          <tr>
            <td align="left">33</td>
            <td align="left">SLH-DSA-SHAKE-128f</td>
            <td align="right">32 octets public key (<xref target="slhdsa-artifact-lengths"/>)</td>
            <td align="right">64 octets secret key (<xref target="slhdsa-artifact-lengths"/>)</td>
            <td align="right">17088 octets signature (<xref target="slhdsa-artifact-lengths"/>)</td>
            <td align="right">N/A</td>
            <td align="right">
              <xref target="slhdsa"/></td>
          </tr>
          <tr>
            <td align="left">34</td>
            <td align="left">SLH-DSA-SHAKE-256s</td>
            <td align="right">64 octets public key (<xref target="slhdsa-artifact-lengths"/>)</td>
            <td align="right">128 octets secret key (<xref target="slhdsa-artifact-lengths"/>)</td>
            <td align="right">29792 octets signature (<xref target="slhdsa-artifact-lengths"/>)</td>
            <td align="right">N/A</td>
            <td align="right">
              <xref target="slhdsa"/></td>
          </tr>
          <tr>
            <td align="left">35</td>
            <td align="left">ML-KEM-768+X25519</td>
            <td align="right">32 octets X25519 public key (<xref target="tab-ecdh-cfrg-artifacts"/>), 1184 octets ML-KEM-768 public key (<xref target="tab-mlkem-artifacts"/>)</td>
            <td align="right">32 octets X25519 secret key (<xref target="tab-ecdh-cfrg-artifacts"/>), 2400 octets ML-KEM-768 secret-key (<xref target="tab-mlkem-artifacts"/>)</td>
            <td align="right">N/A</td>
            <td align="right">32 octets X25519 ciphertext, 1088 octets ML-KEM-768 ciphertext [, 1 octet algorithm ID in case of v3 PKESK], 1 octet length field of value <tt>n</tt>, <tt>n</tt> octets wrapped session key (<xref target="ecc-mlkem-pkesk"/>)</td>
            <td align="right">
              <xref target="ecc-mlkem"/></td>
          </tr>
          <tr>
            <td align="left">36</td>
            <td align="left">ML-KEM-1024+X448</td>
            <td align="right">56 octets X448 public key (<xref target="tab-ecdh-cfrg-artifacts"/>), 1568  octets ML-KEM-1024 public key (<xref target="tab-mlkem-artifacts"/>)</td>
            <td align="right">56 octets X448 secret key (<xref target="tab-ecdh-cfrg-artifacts"/>), 3168 octets ML-KEM-1024 secret-key (<xref target="tab-mlkem-artifacts"/>)</td>
            <td align="right">N/A</td>
            <td align="right">56 octets X448 ciphertext, 1568 octets ML-KEM-1024 ciphertext [, 1 octet algorithm ID in case of v3 PKESK], 1 octet length field of value <tt>n</tt>, <tt>n</tt> octets wrapped session key (<xref target="ecc-mlkem-pkesk"/>)</td>
            <td align="right">
              <xref target="ecc-mlkem"/></td>
          </tr>
        </tbody>
      </table>
    </section>
    <section anchor="changelog">
      <name>Changelog</name>
      <section anchor="draft-wussler-openpgp-pqc-01">
        <name>draft-wussler-openpgp-pqc-01</name>
        <ul spacing="normal">
          <li>
            <t>Shifted the algorithm IDs by 4 to align with the crypto-refresh.</t>
          </li>
          <li>
            <t>Renamed v5 packets into v6 to align with the crypto-refresh.</t>
          </li>
          <li>
            <t>Defined IND-CCA2 security for KDF and key combination.</t>
          </li>
          <li>
            <t>Added explicit key generation procedures.</t>
          </li>
          <li>
            <t>Changed the key combination KMAC salt.</t>
          </li>
          <li>
            <t>Mandated Parameter ID check in SPHINCS+ signature verification.</t>
          </li>
          <li>
            <t>Fixed key share size for Kyber-768.</t>
          </li>
          <li>
            <t>Added "Preliminaries" section.</t>
          </li>
          <li>
            <t>Fixed IANA considerations.</t>
          </li>
        </ul>
      </section>
      <section anchor="draft-wussler-openpgp-pqc-02">
        <name>draft-wussler-openpgp-pqc-02</name>
        <ul spacing="normal">
          <li>
            <t>Added the ephemeral and public key in the ECC key derivation function.</t>
          </li>
          <li>
            <t>Removed public key hash from key combiner.</t>
          </li>
          <li>
            <t>Allowed v3 PKESKs and v4 keys with PQ algorithms, limiting them to AES
symmetric ciphers.
for encryption with SEIPDv1, in line with the crypto-refresh.</t>
          </li>
        </ul>
      </section>
      <section anchor="draft-wussler-openpgp-pqc-03">
        <name>draft-wussler-openpgp-pqc-03</name>
        <ul spacing="normal">
          <li>
            <t>Replaced round 3 submission with NIST PQC Draft Standards FIPS 203, 204, 205.</t>
          </li>
          <li>
            <t>Added consideration about security level for hashes.</t>
          </li>
        </ul>
      </section>
      <section anchor="draft-wussler-openpgp-pqc-04">
        <name>draft-wussler-openpgp-pqc-04</name>
        <ul spacing="normal">
          <li>
            <t>Added Johannes Roth as author</t>
          </li>
        </ul>
      </section>
      <section anchor="draft-ietf-openpgp-pqc-00">
        <name>draft-ietf-openpgp-pqc-00</name>
        <ul spacing="normal">
          <li>
            <t>Renamed draft</t>
          </li>
        </ul>
      </section>
      <section anchor="draft-ietf-openpgp-pqc-01">
        <name>draft-ietf-openpgp-pqc-01</name>
        <ul spacing="normal">
          <li>
            <t>Mandated <tt>AES-256</tt> as mandatory to implement.</t>
          </li>
          <li>
            <t>Added <tt>AES-256</tt> / <tt>AES-128</tt> with <tt>OCB</tt> implicitly to v1/v2 SEIPD preferences of "PQ(/T) certificates".</t>
          </li>
          <li>
            <t>Added a recommendation to use <tt>AES-256</tt> when possible.</t>
          </li>
          <li>
            <t>Swapped the optional v3 PKESK algorithm identifier with length octet in order to align with X25519 and X448.</t>
          </li>
          <li>
            <t>Fixed ML-DSA secret key size.</t>
          </li>
          <li>
            <t>Added test vectors.</t>
          </li>
          <li>
            <t>Correction and completion of IANA instructions.</t>
          </li>
        </ul>
      </section>
      <section anchor="draft-ietf-openpgp-pqc-02">
        <name>draft-ietf-openpgp-pqc-02</name>
        <ul spacing="normal">
          <li>
            <t>Removed git rebase artifact.</t>
          </li>
        </ul>
      </section>
      <section anchor="draft-ietf-openpgp-pqc-03">
        <name>draft-ietf-openpgp-pqc-03</name>
        <ul spacing="normal">
          <li>
            <t>Updated SLH-DSA by removing parametrization and restricting to three SLH-DSA-SHAKE algorithm code points.</t>
          </li>
          <li>
            <t>Removed NIST and Brainpool curve hybrids, dropped ECDSA from the current specification.</t>
          </li>
          <li>
            <t>Updated KDF as proposed at IETF 119.</t>
          </li>
          <li>
            <t>Removed whitespaces from composite algorithm names.</t>
          </li>
          <li>
            <t>Explicitly disallowed SED (tag 9) and weak hashes when using PQ algorithms.</t>
          </li>
        </ul>
      </section>
      <section anchor="draft-ietf-openpgp-pqc-04">
        <name>draft-ietf-openpgp-pqc-04</name>
        <ul spacing="normal">
          <li>
            <t>Fixed ML-DSA signature size.</t>
          </li>
          <li>
            <t>Fixed parameters order in PKESK description.</t>
          </li>
          <li>
            <t>Fixed missing inputs into KEM combination description.</t>
          </li>
          <li>
            <t>Improved parallel encryption guidance.</t>
          </li>
          <li>
            <t>Improved SED deprecation decscription.</t>
          </li>
          <li>
            <t>Added ML-DSA test vectors.</t>
          </li>
        </ul>
      </section>
      <section anchor="draft-ietf-openpgp-pqc-05">
        <name>draft-ietf-openpgp-pqc-05</name>
        <ul spacing="normal">
          <li>
            <t>Reworked KEM combiner for the purpose of NIST-compliance.</t>
          </li>
          <li>
            <t>Mandated v6 keys for ML-KEM + ECDH algorithms.</t>
          </li>
          <li>
            <t>Defined secret key seed format for ML-KEM and ML-DSA.</t>
          </li>
          <li>
            <t>Added key generation security considerations.</t>
          </li>
          <li>
            <t>Replaced initial public drafts with FIPS 203, 204, 205.</t>
          </li>
        </ul>
      </section>
      <section anchor="draft-ietf-openpgp-pqc-06">
        <name>draft-ietf-openpgp-pqc-06</name>
        <ul spacing="normal">
          <li>
            <t>Fixed and improved test vectors.</t>
          </li>
        </ul>
      </section>
      <section anchor="draft-ietf-openpgp-pqc-07">
        <name>draft-ietf-openpgp-pqc-07</name>
        <ul spacing="normal">
          <li>
            <t>Assigned code points 30 - 34 for ML-DSA + EdDSA and SLH-DSA algorithms.</t>
          </li>
          <li>
            <t>Aligned KEM combiner with LAMPS.</t>
          </li>
          <li>
            <t>Dropped CCA-conversion of X25519/X448 and adjusted security considerations.</t>
          </li>
          <li>
            <t>Switched to hedged variant also for SLH-DSA.</t>
          </li>
        </ul>
      </section>
      <section anchor="draft-ietf-openpgp-pqc-08">
        <name>draft-ietf-openpgp-pqc-08</name>
        <ul spacing="normal">
          <li>
            <t>Assigned code points 35 and 36 for ML-KEM + ECDH algorithms.</t>
          </li>
          <li>
            <t>Removed hash binding for ML-DSA + EdDSA and SLH-DSA algorithms.</t>
          </li>
          <li>
            <t>Allowed usage of ML-KEM-768 + X25519 with v4 keys</t>
          </li>
          <li>
            <t>Aligned KEM combiner to X-Wing and switched to suffix-free encoding of the domain separator</t>
          </li>
        </ul>
      </section>
    </section>
    <section anchor="contributors">
      <name>Contributors</name>
      <t>Stephan Ehlen (BSI)<br/>
Carl-Daniel Hailfinger (BSI)<br/>
Andreas Huelsing (TU Eindhoven)</t>
    </section>
    <section numbered="false" anchor="acknowledgments">
      <name>Acknowledgments</name>
      <t>Thanks to Daniel Huigens and Evangelos Karatsiolis for the early review and feedback on this document.</t>
    </section>
  </middle>
  <back>
    <references anchor="sec-combined-references">
      <name>References</name>
      <references anchor="sec-normative-references">
        <name>Normative References</name>
        <reference anchor="RFC7748">
          <front>
            <title>Elliptic Curves for Security</title>
            <author fullname="A. Langley" initials="A." surname="Langley"/>
            <author fullname="M. Hamburg" initials="M." surname="Hamburg"/>
            <author fullname="S. Turner" initials="S." surname="Turner"/>
            <date month="January" year="2016"/>
            <abstract>
              <t>This memo specifies two elliptic curves over prime fields that offer a high level of practical security in cryptographic applications, including Transport Layer Security (TLS). These curves are intended to operate at the ~128-bit and ~224-bit security level, respectively, and are generated deterministically based on a list of required properties.</t>
            </abstract>
          </front>
          <seriesInfo name="RFC" value="7748"/>
          <seriesInfo name="DOI" value="10.17487/RFC7748"/>
        </reference>
        <reference anchor="RFC8032">
          <front>
            <title>Edwards-Curve Digital Signature Algorithm (EdDSA)</title>
            <author fullname="S. Josefsson" initials="S." surname="Josefsson"/>
            <author fullname="I. Liusvaara" initials="I." surname="Liusvaara"/>
            <date month="January" year="2017"/>
            <abstract>
              <t>This document describes elliptic curve signature scheme Edwards-curve Digital Signature Algorithm (EdDSA). The algorithm is instantiated with recommended parameters for the edwards25519 and edwards448 curves. An example implementation and test vectors are provided.</t>
            </abstract>
          </front>
          <seriesInfo name="RFC" value="8032"/>
          <seriesInfo name="DOI" value="10.17487/RFC8032"/>
        </reference>
        <reference anchor="RFC3394">
          <front>
            <title>Advanced Encryption Standard (AES) Key Wrap Algorithm</title>
            <author fullname="J. Schaad" initials="J." surname="Schaad"/>
            <author fullname="R. Housley" initials="R." surname="Housley"/>
            <date month="September" year="2002"/>
          </front>
          <seriesInfo name="RFC" value="3394"/>
          <seriesInfo name="DOI" value="10.17487/RFC3394"/>
        </reference>
        <reference anchor="RFC9580">
          <front>
            <title>OpenPGP</title>
            <author fullname="P. Wouters" initials="P." role="editor" surname="Wouters"/>
            <author fullname="D. Huigens" initials="D." surname="Huigens"/>
            <author fullname="J. Winter" initials="J." surname="Winter"/>
            <author fullname="Y. Niibe" initials="Y." surname="Niibe"/>
            <date month="July" year="2024"/>
            <abstract>
              <t>This document specifies the message formats used in OpenPGP. OpenPGP provides encryption with public key or symmetric cryptographic algorithms, digital signatures, compression, and key management.</t>
              <t>This document is maintained in order to publish all necessary information needed to develop interoperable applications based on the OpenPGP format. It is not a step-by-step cookbook for writing an application. It describes only the format and methods needed to read, check, generate, and write conforming packets crossing any network. It does not deal with storage and implementation questions. It does, however, discuss implementation issues necessary to avoid security flaws.</t>
              <t>This document obsoletes RFCs 4880 ("OpenPGP Message Format"), 5581 ("The Camellia Cipher in OpenPGP"), and 6637 ("Elliptic Curve Cryptography (ECC) in OpenPGP").</t>
            </abstract>
          </front>
          <seriesInfo name="RFC" value="9580"/>
          <seriesInfo name="DOI" value="10.17487/RFC9580"/>
        </reference>
      </references>
      <references anchor="sec-informative-references">
        <name>Informative References</name>
        <reference anchor="I-D.ietf-pquip-pqt-hybrid-terminology">
          <front>
            <title>Terminology for Post-Quantum Traditional Hybrid Schemes</title>
            <author fullname="Flo D" initials="F." surname="D">
              <organization>UK National Cyber Security Centre</organization>
            </author>
            <author fullname="Michael P" initials="M." surname="P">
              <organization>UK National Cyber Security Centre</organization>
            </author>
            <author fullname="Britta Hale" initials="B." surname="Hale">
              <organization>Naval Postgraduate School</organization>
            </author>
            <date day="10" month="January" year="2025"/>
            <abstract>
              <t>   One aspect of the transition to post-quantum algorithms in
   cryptographic protocols is the development of hybrid schemes that
   incorporate both post-quantum and traditional asymmetric algorithms.
   This document defines terminology for such schemes.  It is intended
   to be used as a reference and, hopefully, to ensure consistency and
   clarity across different protocols, standards, and organisations.

              </t>
            </abstract>
          </front>
          <seriesInfo name="Internet-Draft" value="draft-ietf-pquip-pqt-hybrid-terminology-06"/>
        </reference>
        <reference anchor="NIST-PQC" target="https://csrc.nist.gov/projects/post-quantum-cryptography/post-quantum-cryptography-standardization">
          <front>
            <title>Post-Quantum Cryptography Standardization</title>
            <author initials="L." surname="Chen" fullname="Lily Chen">
              <organization/>
            </author>
            <author initials="D." surname="Moody" fullname="Dustin Moody">
              <organization/>
            </author>
            <author initials="Y." surname="Liu" fullname="Yi-Kai Liu">
              <organization/>
            </author>
            <date year="2016" month="December"/>
          </front>
        </reference>
        <reference anchor="NISTIR-8413" target="https://doi.org/10.6028/NIST.IR.8413-upd1">
          <front>
            <title>Status Report on the Third Round of the NIST Post-Quantum Cryptography Standardization Process</title>
            <author initials="G." surname="Alagic" fullname="Gorjan Alagic">
              <organization/>
            </author>
            <author initials="D." surname="Apon" fullname="Daniel Apon">
              <organization/>
            </author>
            <author initials="D." surname="Cooper" fullname="David Cooper">
              <organization/>
            </author>
            <author initials="Q." surname="Dang" fullname="Quynh Dang">
              <organization/>
            </author>
            <author initials="T." surname="Dang" fullname="Thinh Dang">
              <organization/>
            </author>
            <author initials="J." surname="Kelsey" fullname="John Kelsay">
              <organization/>
            </author>
            <author initials="J." surname="Lichtinger" fullname="Jacob Lichtinger">
              <organization/>
            </author>
            <author initials="C." surname="Miller" fullname="Carl Miller">
              <organization/>
            </author>
            <author initials="D." surname="Moody" fullname="Dustin Moody">
              <organization/>
            </author>
            <author initials="R." surname="Peralta" fullname="Rene Peralta">
              <organization/>
            </author>
            <author initials="R." surname="Perlner" fullname="Ray Perlner">
              <organization/>
            </author>
            <author initials="A." surname="Robinson" fullname="Angela Robinson">
              <organization/>
            </author>
            <author initials="D." surname="Smith-Tone" fullname="Daniel Smith-Tone">
              <organization/>
            </author>
            <author initials="Y." surname="Liu" fullname="Yi-Kai Liu">
              <organization/>
            </author>
            <date year="2022" month="September"/>
          </front>
          <seriesInfo name="NIST IR 8413" value=""/>
        </reference>
        <reference anchor="SP800-56C" target="https://doi.org/10.6028/NIST.SP.800-56Cr2">
          <front>
            <title>Recommendation for Key-Derivation Methods in Key-Establishment Schemes</title>
            <author initials="E." surname="Barker" fullname="Elaine Barker">
              <organization/>
            </author>
            <author initials="L." surname="Chen" fullname="Lily Chen">
              <organization/>
            </author>
            <author initials="A." surname="Roginsky" fullname="Allen Roginsky">
              <organization/>
            </author>
            <author initials="R." surname="Davis" fullname="Richard Davis">
              <organization/>
            </author>
            <date year="2020" month="August"/>
          </front>
          <seriesInfo name="NIST Special Publication 800-56C Rev. 2" value=""/>
        </reference>
        <reference anchor="FIPS-203" target="https://doi.org/10.6028/NIST.FIPS.203">
          <front>
            <title>Module-Lattice-Based Key-Encapsulation Mechanism Standard</title>
            <author>
              <organization>National Institute of Standards and Technology</organization>
            </author>
            <date year="2024" month="August"/>
          </front>
        </reference>
        <reference anchor="FIPS-204" target="https://doi.org/10.6028/NIST.FIPS.204">
          <front>
            <title>Module-Lattice-Based Digital Signature Standard</title>
            <author>
              <organization>National Institute of Standards and Technology</organization>
            </author>
            <date year="2024" month="August"/>
          </front>
        </reference>
        <reference anchor="FIPS-205" target="https://doi.org/10.6028/NIST.FIPS.205">
          <front>
            <title>Stateless Hash-Based Digital Signature Standard</title>
            <author>
              <organization>National Institute of Standards and Technology</organization>
            </author>
            <date year="2024" month="August"/>
          </front>
        </reference>
        <reference anchor="BCD_24" target="https://doi.org/10.62056/a3qj89n4e">
          <front>
            <title>X-Wing The Hybrid KEM You’ve Been Looking For</title>
            <author initials="M." surname="Barbosa" fullname="Manuel Barbosa">
              <organization/>
            </author>
            <author initials="D." surname="Connolly" fullname="Deirdre Connolly">
              <organization/>
            </author>
            <author initials="J. D." surname="Duarte" fullname="Joao Diogo Duarte">
              <organization/>
            </author>
            <author initials="A." surname="Kaiser" fullname="Aaron Kaiser">
              <organization/>
            </author>
            <author initials="P." surname="Schwabe" fullname="Peter Schwabe">
              <organization/>
            </author>
            <author initials="K." surname="Varner" fullname="Karoline Varner">
              <organization/>
            </author>
            <author initials="B." surname="Westerbaan" fullname="Bas Westerbaan">
              <organization/>
            </author>
            <date year="2024"/>
          </front>
        </reference>
        <reference anchor="ABH_21" target="https://doi.org/10.1007/978-3-030-77870-5_4">
          <front>
            <title>Analysing the HPKE Standard</title>
            <author initials="J." surname="Alwen" fullname="Joel Alwen">
              <organization/>
            </author>
            <author initials="B." surname="Blanchet" fullname="Bruno Blanchet">
              <organization/>
            </author>
            <author initials="E." surname="Hauck" fullname="Eduard Hauck">
              <organization/>
            </author>
            <author initials="E." surname="Kiltz" fullname="Eike Kiltz">
              <organization/>
            </author>
            <author initials="B." surname="Lipp" fullname="Benjamin Lipp">
              <organization/>
            </author>
            <author initials="D." surname="Riepel" fullname="Doreen Riepl">
              <organization/>
            </author>
            <date year="2021"/>
          </front>
        </reference>
      </references>
    </references>
    <?line 1049?>

<section anchor="test-vectors">
      <name>Test Vectors</name>
      <t>To help implementing this specification a set of non-normative examples follow here.</t>
      <section anchor="sample-v6-ed25519-with-ml-kem-768x25519-data">
        <name>Sample v6 Ed25519 with ML-KEM-768+X25519 Data</name>
        <section anchor="test-vector-sec-ed25519">
          <name>Transferable Secret Key</name>
          <t>Here is a Transferable Secret Key consisting of:</t>
          <ul spacing="normal">
            <li>
              <t>A v6 Ed25519 Private-Key packet</t>
            </li>
            <li>
              <t>A v6 direct key self-signature</t>
            </li>
            <li>
              <t>A User ID packet</t>
            </li>
            <li>
              <t>A v6 positive certification self-signature</t>
            </li>
            <li>
              <t>A v6 X25519 Private-Subkey packet</t>
            </li>
            <li>
              <t>A v6 subkey binding signature</t>
            </li>
            <li>
              <t>A v6 ML-KEM-768+X25519 Private-Subkey packet</t>
            </li>
            <li>
              <t>A v6 subkey binding signature</t>
            </li>
          </ul>
          <t>The primary key has the fingerprint <tt>2357faea8775f69acb11183f81b765cc30db7daf2768827babe202a16d07d4aa</tt>.</t>
          <t>The first subkey has the fingerprint <tt>fe0f1b20e62a56caacc4d68f32e5a0a3c1e7a69a7d13541fa1761a3933b5b8cf</tt>.</t>
          <t>The second subkey has the fingerprint <tt>23eee71a76bc1eab20017a2ba4af492136ec6e6296ed60128b2223273bcb4d2c</tt>.</t>
          <sourcecode type="application/pgp-keys" name="v6-eddsa-sample-sk.asc"><![CDATA[
-----BEGIN PGP PRIVATE KEY BLOCK-----
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=
-----END PGP PRIVATE KEY BLOCK-----
]]></sourcecode>
        </section>
        <section anchor="test-vector-pub-ed25519">
          <name>Transferable Public Key</name>
          <t>Here is the corresponding Transferable Public Key for <xref target="test-vector-sec-ed25519"/> consisting of:</t>
          <ul spacing="normal">
            <li>
              <t>A v6 Ed25519 Public-Key packet</t>
            </li>
            <li>
              <t>A v6 direct key self-signature</t>
            </li>
            <li>
              <t>A User ID packet</t>
            </li>
            <li>
              <t>A v6 positive certification self-signature</t>
            </li>
            <li>
              <t>A v6 X25519 Public-Subkey packet</t>
            </li>
            <li>
              <t>A v6 subkey binding signature</t>
            </li>
            <li>
              <t>A v6 ML-KEM-768+X25519 Public-Subkey packet</t>
            </li>
            <li>
              <t>A v6 subkey binding signature</t>
            </li>
          </ul>
          <sourcecode type="application/pgp-keys" name="v6-eddsa-sample-pk.asc"><![CDATA[
-----BEGIN PGP PUBLIC KEY BLOCK-----
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-----END PGP PUBLIC KEY BLOCK-----
]]></sourcecode>
        </section>
        <section anchor="encrypted-and-signed-message">
          <name>Encrypted and Signed Message</name>
          <t>Here is a signed message "Testing\n" encrypted to the certificate <xref target="test-vector-pub-ed25519"/> and signed by the secret key <xref target="test-vector-sec-ed25519"/>:</t>
          <ul spacing="normal">
            <li>
              <t>A v3 PKESK</t>
            </li>
            <li>
              <t>A v1 SEIPD</t>
            </li>
          </ul>
          <t>The hex-encoded <tt>mlkemKeyShare</tt> input to <tt>multiKeyCombine</tt> is <tt>64b5bcf1facc004c9939db330c24bafc5a5d66bee2a4d93ee9c6ca722fa0c09d</tt>.</t>
          <t>The hex-encoded <tt>ecdhKeyShare</tt> input to <tt>multiKeyCombine</tt> is <tt>de2a3622b030e3ec76f8971be2f7866d367780b24b990948460b82885873db45</tt>.</t>
          <t>The hex-encoded output of <tt>multiKeyCombine</tt> is <tt>ca6d4f02bc531f16a096c2596eb983e47de08a0462d93072f641cff8bb275719</tt>.</t>
          <t>The hex-encoded session key is <tt>766069bccd89f5f196159cac2e489e081d80ba7c54a79f03f7e8fad0fef7c246</tt>.</t>
          <sourcecode type="application/pgp-keys" name="v6-eddsa-sample-message.asc"><![CDATA[
-----BEGIN PGP MESSAGE-----
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-----END PGP MESSAGE-----
]]></sourcecode>
        </section>
      </section>
      <section anchor="sample-v4-ed25519-with-ml-kem-768x25519-data">
        <name>Sample v4 Ed25519 with ML-KEM-768+X25519 Data</name>
        <section anchor="test-vector-sec-v4-ed25519">
          <name>Transferable Secret Key</name>
          <t>Here is a Transferable Secret Key consisting of:</t>
          <ul spacing="normal">
            <li>
              <t>A v4 Ed25519 Private-Key packet</t>
            </li>
            <li>
              <t>A v4 direct key self-signature</t>
            </li>
            <li>
              <t>A User ID packet</t>
            </li>
            <li>
              <t>A v4 positive certification self-signature</t>
            </li>
            <li>
              <t>A v4 X25519 Private-Subkey packet</t>
            </li>
            <li>
              <t>A v4 subkey binding signature</t>
            </li>
            <li>
              <t>A v4 ML-KEM-768+X25519 Private-Subkey packet</t>
            </li>
            <li>
              <t>A v4 subkey binding signature</t>
            </li>
          </ul>
          <t>The primary key has the fingerprint <tt>bee82527bae0f931a3195628a3687fdca62e4844</tt>.</t>
          <t>The first subkey has the fingerprint <tt>3e6a6bd51614ff3810ad2256ada71a07c0afbd7d</tt>.</t>
          <t>The second subkey has the fingerprint <tt>3c5e54c7de276f3e308e7da8c5bcde48f991e7c8</tt>.</t>
          <sourcecode type="application/pgp-keys" name="v4-eddsa-sample-sk.asc"><![CDATA[
-----BEGIN PGP PRIVATE KEY BLOCK-----
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mXRaADOMiomq1IMlcAaRdhcP7kWDkbW2A2rCRwzAlQeXLrVi81Cpc0qnD6LAPJJ6
CYSaNKIwPvmu5zh6ICS3EkuPSjKrrZzLB1uTOCc2TpugFgSkyFhOhDNoUtg/oGdo
PBR2PnuJ65RKxOtPqyeVHWM2lqctwuiS7DjCQjMNFjm2WjS5/SXADQsxeuR0mstu
1ZXChwgo1aFiKLaibipqGLXAW9cKDGMgV4dKGreLgllOemuXbAidcTgMnkrPXrV7
29R/3AA0nbWf1ueIqLOAHWLGQfVHkVFlIZpo/fqjlCWl9lQQqpw8XfOmPOVGAP2a
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VIJqHZpjkcwHXQp0tTZ8zeV0ONS7/aN19faN1NvFaCw9R2SowAKJI8bEDGeoabmu
KYsnMdCzRtei8IqpdMRgoSQetfInWoEy9FfOcXJrUHx8AsCJOGM4QiJPawaD6+Ep
EhwZahxQ0rtK0BYxbXlzo6kr9TkeKcGDyPWv7KK0sCeWJZFoKldXzogmdBA0EaVi
agXEFwi9H7FdeiePscIkaZBk8kW7YsWLrsYv9QcprApmkmQS3qQMN8Vzb/PEVrpM
rsoVP2BXRIp8BTKPtAt8NPcBd6MKJUdLywYxWGhR7ROKVlVoDIyubPcq7qaE6/ax
zssxdek7EjU6EGg6x3xm3VQKx/zIDxSpT0EBAasux7KAKkeIrmCLSGahRks1dqcP
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j6M+jHs2EbezGkZFCxpeCrRWAzZ5T7bGhVESx7VsaHm+joTw25jYOZxCAPSmz+UM
w6maBhuZK825PgwQx5wAezmnpoo+kQtBP/2zM+DMOJm3OsHMty9HUI7zQ2gkuqvx
YjO80GhB8gm3vhqBEtRsg8lbHq6ZHWpTKXhfP6Ket7N8KPM4dHz7tv80i0A4zpgi
VqlshznXBZh7RV+/qRMALkPCqgQYGwgAYAWCUdDGgAmQo2h/3KYuSEQ1FAAAAAAA
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mwwWIQS+6CUnuuD5MaMZViijaH/cpi5IRAAAwb63in9VhvHAEXju3T+qJWYgbAbw
avnVkpb4MVZLwOdEeFFEEINIfA0MnQSPHJRJAIMSen0Brym0pNBQAAu+S7sD
-----END PGP PRIVATE KEY BLOCK-----
]]></sourcecode>
        </section>
        <section anchor="test-vector-pub-v4-ed25519">
          <name>Transferable Public Key</name>
          <t>Here is the corresponding Transferable Public Key for <xref target="test-vector-sec-v4-ed25519"/> consisting of:</t>
          <ul spacing="normal">
            <li>
              <t>A v4 Ed25519 Public-Key packet</t>
            </li>
            <li>
              <t>A v4 direct key self-signature</t>
            </li>
            <li>
              <t>A User ID packet</t>
            </li>
            <li>
              <t>A v4 positive certification self-signature</t>
            </li>
            <li>
              <t>A v4 X25519 Public-Subkey packet</t>
            </li>
            <li>
              <t>A v4 subkey binding signature</t>
            </li>
            <li>
              <t>A v4 ML-KEM-768+X25519 Public-Subkey packet</t>
            </li>
            <li>
              <t>A v4 subkey binding signature</t>
            </li>
          </ul>
          <sourcecode type="application/pgp-keys" name="v4-eddsa-sample-pk.asc"><![CDATA[
-----BEGIN PGP PUBLIC KEY BLOCK-----

xiYEUdDGgBskT7fDeyLjA4ntbsVKGlE8F8Cr34Chugi2uSTMf6y3E80uUFFDIHVz
ZXIgKFRlc3QgS2V5KSA8cHFjLXRlc3Qta2V5QGV4YW1wbGUuY29tPsLAAAQTGwgA
dgWCUdDGgAMLCQcJkKNof9ymLkhENRQAAAAAABwAEHNhbHRAbm90YXRpb25zLm9w
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J7rg+TGjGVYoo2h/3KYuSEQFJwkCBwIAAOwC/Cjk7UPT471i5GOpxglmv+/MOiif
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xoAZ6HqQ8XFatQbeH6CZ9XUFiiFLH2Ec/aFeWuW2oTj07wjCqgQYGwgAYAWCUdDG
gAmQo2h/3KYuSEQ1FAAAAAAAHAAQc2FsdEBub3RhdGlvbnMub3BlbnBncGpzLm9y
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BYJR0MaACZCjaH/cpi5IRDUUAAAAAAAcABBzYWx0QG5vdGF0aW9ucy5vcGVucGdw
anMub3JniND1mZhEXIg8nZaf88kpgwKbDBYhBL7oJSe64PkxoxlWKKNof9ymLkhE
AADBvreKf1WG8cAReO7dP6olZiBsBvBq+dWSlvgxVkvA50R4UUQQg0h8DQydBI8c
lEkAgxJ6fQGvKbSk0FAAC75LuwM=
-----END PGP PUBLIC KEY BLOCK-----
]]></sourcecode>
        </section>
        <section anchor="encrypted-and-signed-message-1">
          <name>Encrypted and Signed Message</name>
          <t>Here is a signed message "Testing\n" encrypted to the certificate <xref target="test-vector-pub-v4-ed25519"/> and signed by the secret key <xref target="test-vector-sec-v4-ed25519"/>:</t>
          <ul spacing="normal">
            <li>
              <t>A v3 PKESK</t>
            </li>
            <li>
              <t>A v1 SEIPD</t>
            </li>
          </ul>
          <t>The hex-encoded <tt>mlkemKeyShare</tt> input to <tt>multiKeyCombine</tt> is <tt>7c0a891f086a52eaf4ba21084c7ef13aae3b9507da54dd256861fc28525aecc6</tt>.</t>
          <t>The hex-encoded <tt>ecdhKeyShare</tt> input to <tt>multiKeyCombine</tt> is <tt>9083fc83286b1676dd95750332b44040022761a1cb205cf0f919cad86e9fee53</tt>.</t>
          <t>The hex-encoded output of <tt>multiKeyCombine</tt> is <tt>8132887889f1f8e998ee9458b7fb9185aaa8ffbb8593002d6f6550e0b1e27771</tt>.</t>
          <t>The hex-encoded session key is <tt>e23f844c92acffb60feacf70c98b826d8c5dc9af1e0a894a01865877def9f55c</tt>.</t>
          <sourcecode type="application/pgp-keys" name="v4-eddsa-sample-message.asc"><![CDATA[
-----BEGIN PGP MESSAGE-----

wcPUA8W83kj5kefII4T+x2eRxFAuZetsHD3uFkVwUfssZOlxdfbAaOT814A4QmzP
eWB8NmqPEYo6X/x6puF4LBgMVifwiEALXpPjFpSYUk6G0lYz5fg1m4MExwFkxVZg
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WHovZHwI0R/x2UgJ+Ih5/WBXSdykBP30G5Ykd5XXRMBuwABvNohkW3TqaRZ8E4K6
HTyig6EAbYgEgXhD0N2EuglH0uK+GqbD+F5cQ4ACQGoelaRVOzWutmUdjq8LY/24
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jqtpcctowGi5xt+LBugl91Pr4vGSo3ff6Cg4bc/X+AoK8mfeBeFE4t9g2rf5iayf
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uDHSo/6w62h0XaC1tAFAvqNQkTZph7tgbB53vi0pCeRk+aGWlvyauSXxy5FwC59c
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NgUHzw4HONzsKAjfV9AU1FuuD0raM60XpF1lY77/mlv6jh4rFA8ea6R4YWZVaCDM
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paP0e+bjN3asxm4wMNtxrb5lTeBv0aDBVDZ1f3GIK+NwGfMQJLe24D07qHXinZKS
CdOEJ08dnyND3fHVSbijWHSPR21CHx/OjWI28kDiM+VZkMfRb1AW9NYGuZ5YUFQR
eRMF2F7zmrDtYBkosbHtLRLEot8TE5LZ6Kje6o0WF7bRqi7mRvcY8veaTVexdNJG
qm0=
-----END PGP MESSAGE-----
]]></sourcecode>
        </section>
      </section>
      <section anchor="sample-ml-dsa-65ed25519-with-ml-kem-768x25519-data">
        <name>Sample ML-DSA-65+Ed25519 with ML-KEM-768+X25519 Data</name>
        <section anchor="test-vector-sec-mldsa65">
          <name>Transferable Secret Key</name>
          <t>Here is a Transferable Secret Key consisting of:</t>
          <ul spacing="normal">
            <li>
              <t>A v6 ML-DSA-65+Ed25519 Private-Key packet</t>
            </li>
            <li>
              <t>A v6 direct key self-signature</t>
            </li>
            <li>
              <t>A User ID packet</t>
            </li>
            <li>
              <t>A v6 positive certification self-signature</t>
            </li>
            <li>
              <t>A v6 ML-KEM-768+X25519 Private-Subkey packet</t>
            </li>
            <li>
              <t>A v6 subkey binding signature</t>
            </li>
          </ul>
          <t>The primary key has the fingerprint <tt>42120bfb467bf42c8a3eecb7fd38a8ba426ae95d916f9e77c3fd3f3955e1627d</tt>.</t>
          <t>The subkey has the fingerprint <tt>8333c14b27fd556d29b18141811531452dd88c23a1c09e92561521014c1cc460</tt>.</t>
          <sourcecode type="application/pgp-keys" name="v6-mldsa-65-sample-sk.asc"><![CDATA[
-----BEGIN PGP PRIVATE KEY BLOCK-----

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pNwBKUGPrOLuAAAAAAAAAAAAAAAAAAAAAAAABg8WFx4l
-----END PGP PRIVATE KEY BLOCK-----
]]></sourcecode>
        </section>
        <section anchor="test-vector-pub-mldsa65">
          <name>Transferable Public Key</name>
          <t>Here is the corresponding Transferable Public Key for <xref target="test-vector-sec-mldsa65"/> consisting of:</t>
          <ul spacing="normal">
            <li>
              <t>A v6 ML-DSA-65+Ed25519 Public-Key packet</t>
            </li>
            <li>
              <t>A v6 direct key self-signature</t>
            </li>
            <li>
              <t>A User ID packet</t>
            </li>
            <li>
              <t>A v6 positive certification self-signature</t>
            </li>
            <li>
              <t>A v6 ML-KEM-768+X25519 Public-Subkey packet</t>
            </li>
            <li>
              <t>A v6 subkey binding signature</t>
            </li>
          </ul>
          <sourcecode type="application/pgp-keys" name="v6-mldsa-65-sample-pk.asc"><![CDATA[
-----BEGIN PGP PUBLIC KEY BLOCK-----

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AAAAAAAAAAAABg8WFx4l
-----END PGP PUBLIC KEY BLOCK-----
]]></sourcecode>
        </section>
        <section anchor="encrypted-and-signed-message-2">
          <name>Encrypted and Signed Message</name>
          <t>Here is a signed message "Testing\n" encrypted to the certificate <xref target="test-vector-pub-mldsa65"/> and signed by the secret key <xref target="test-vector-sec-mldsa65"/>:</t>
          <ul spacing="normal">
            <li>
              <t>A v6 PKESK</t>
            </li>
            <li>
              <t>A v2 SEIPD</t>
            </li>
          </ul>
          <t>The hex-encoded <tt>mlkemKeyShare</tt> input to <tt>multiKeyCombine</tt> is <tt>dd2624e09d324b23a23da8940c606b7e16080dcc8770cbe0956d4fbe89bdf6c1</tt>.</t>
          <t>The hex-encoded <tt>ecdhKeyShare</tt> input to <tt>multiKeyCombine</tt> is <tt>780a7139851473d02ce4d970bc5f4fe92f0c8fdf51e52b435c842f534adb8b6d</tt>.</t>
          <t>The hex-encoded output of <tt>multiKeyCombine</tt> is <tt>d988239e4524f0defc4396e79491782b4ca6801045184d69a48288ba0695a25a</tt>.</t>
          <t>The hex-encoded session key is <tt>e3b55fda0b17b52825146f3c547c60b5aa7cfdaf0fc3b573745f5553632f9526</tt>.</t>
          <sourcecode type="application/pgp-keys" name="v6-mldsa-65-sample-message.asc"><![CDATA[
-----BEGIN PGP MESSAGE-----

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-----END PGP MESSAGE-----
]]></sourcecode>
        </section>
        <section anchor="detached-signature">
          <name>Detached signature</name>
          <t>Here is a detached signature for the message "Testing\n" made by the secret key <xref target="test-vector-sec-mldsa65"/>:</t>
          <ul spacing="normal">
            <li>
              <t>A v6 signature packet</t>
            </li>
          </ul>
          <sourcecode type="application/pgp-keys" name="v6-mldsa-65-sample-signature.asc"><![CDATA[
-----BEGIN PGP SIGNATURE-----

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mdDzL3TA4/cAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAULDxEYHQ==
-----END PGP SIGNATURE-----
]]></sourcecode>
        </section>
      </section>
      <section anchor="sample-ml-dsa-87ed448-with-ml-kem-1024x448-data">
        <name>Sample ML-DSA-87+Ed448 with ML-KEM-1024+X448 Data</name>
        <section anchor="test-vector-sec-mldsa87">
          <name>Transferable Secret Key</name>
          <t>Here is a Transferable Secret Key consisting of:</t>
          <ul spacing="normal">
            <li>
              <t>A v6 ML-DSA-87+Ed448 Private-Key packet</t>
            </li>
            <li>
              <t>A v6 direct key self-signature</t>
            </li>
            <li>
              <t>A User ID packet</t>
            </li>
            <li>
              <t>A v6 positive certification self-signature</t>
            </li>
            <li>
              <t>A v6 ML-KEM-1024+X448 Private-Subkey packet</t>
            </li>
            <li>
              <t>A v6 subkey binding signature</t>
            </li>
          </ul>
          <t>The primary key has the fingerprint <tt>4141f9deb6ee8c3f8484c3e0d0f41796da5c6b8e6994145e3a335f557cf544c3</tt>.</t>
          <t>The subkey has the fingerprint <tt>8cc1fdaed98c2f3b0601eab83fe96e06a44d234bbe61d9b04c1e81c4f66d2080</tt>.</t>
          <sourcecode type="application/pgp-keys" name="v6-mldsa-87-sample-sk.asc"><![CDATA[
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AAAAAAAAAAAAAAAAAAAAAAAAAAYNEhgeKC80
-----END PGP PRIVATE KEY BLOCK-----
]]></sourcecode>
        </section>
        <section anchor="test-vector-pub-mldsa87">
          <name>Transferable Public Key</name>
          <t>Here is the corresponding Transferable Public Key for <xref target="test-vector-sec-mldsa87"/> consisting of:</t>
          <ul spacing="normal">
            <li>
              <t>A v6 ML-DSA-87+Ed448 Public-Key packet</t>
            </li>
            <li>
              <t>A v6 direct key self-signature</t>
            </li>
            <li>
              <t>A User ID packet</t>
            </li>
            <li>
              <t>A v6 positive certification self-signature</t>
            </li>
            <li>
              <t>A v6 ML-KEM-1024+X448 Public-Subkey packet</t>
            </li>
            <li>
              <t>A v6 subkey binding signature</t>
            </li>
          </ul>
          <sourcecode type="application/pgp-keys" name="v6-mldsa-87-sample-pk.asc"><![CDATA[
-----BEGIN PGP PUBLIC KEY BLOCK-----

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eNXlCxgqRoWGjKCz8VaGjq6y3/QdJImj2gAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA
Bg0SGB4oLzQ=
-----END PGP PUBLIC KEY BLOCK-----
]]></sourcecode>
        </section>
        <section anchor="encrypted-and-signed-message-3">
          <name>Encrypted and Signed Message</name>
          <t>Here is a signed message "Testing\n" encrypted to the certificate <xref target="test-vector-pub-mldsa87"/> and signed by the secret key <xref target="test-vector-sec-mldsa87"/>:</t>
          <ul spacing="normal">
            <li>
              <t>A v6 PKESK</t>
            </li>
            <li>
              <t>A v2 SEIPD</t>
            </li>
          </ul>
          <t>The hex-encoded <tt>mlkemKeyShare</tt> input to <tt>multiKeyCombine</tt> is <tt>595d8d4aeb0351df9ce5a4c687e923e79c869c40ecae2b8270e06f5ff24568c4</tt>.</t>
          <t>The hex-encoded <tt>ecdhKeyShare</tt> input to <tt>multiKeyCombine</tt> is <tt>0a1733584155ba6681501814af1391b86a4e5c36af9d391456012be3e6dc2aed16920b65e71f7df7605d4e77add46408374acf8c8eb89717</tt>.</t>
          <t>The hex-encoded output of <tt>multiKeyCombine</tt> is <tt>5834e06ba1f79985bcad6e085b709e50a2fc908e6fa1ba90f2550cc93812ed0c</tt>.</t>
          <t>The hex-encoded session key is <tt>b53d7bd20c351ed89af94d091f69ece4ccec3bb9d000387ff71e3d7ba53759b0</tt>.</t>
          <sourcecode type="application/pgp-keys" name="v6-mldsa-87-sample-message.asc"><![CDATA[
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HrrS35SB8JIKRQY=
-----END PGP MESSAGE-----
]]></sourcecode>
        </section>
        <section anchor="detached-signature-1">
          <name>Detached signature</name>
          <t>Here is a detached signature for the message "Testing\n" made by the secret key <xref target="test-vector-sec-mldsa87"/>:</t>
          <ul spacing="normal">
            <li>
              <t>A v6 signature packet</t>
            </li>
          </ul>
          <sourcecode type="application/pgp-keys" name="v6-mldsa-87-sample-signature.asc"><![CDATA[
-----BEGIN PGP SIGNATURE-----

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-----END PGP SIGNATURE-----
]]></sourcecode>
        </section>
      </section>
      <section anchor="sample-slh-dsa-128s-with-ml-kem-768x25519-data">
        <name>Sample SLH-DSA-128s with ML-KEM-768+X25519 Data</name>
        <section anchor="test-vector-sec-slhdsa-128s">
          <name>Transferable Secret Key</name>
          <t>Here is a Transferable Secret Key consisting of:</t>
          <ul spacing="normal">
            <li>
              <t>A v6 SLH-DSA-128s Private-Key packet</t>
            </li>
            <li>
              <t>A v6 direct key self-signature</t>
            </li>
            <li>
              <t>A User ID packet</t>
            </li>
            <li>
              <t>A v6 positive certification self-signature</t>
            </li>
            <li>
              <t>A v6 ML-KEM-768+X25519 Private-Subkey packet</t>
            </li>
            <li>
              <t>A v6 subkey binding signature</t>
            </li>
          </ul>
          <t>The primary key has the fingerprint <tt>e761d4ec762a5f9c35f72b0c8a030c184b903c35459e74b25341b245819ab3fe</tt>.</t>
          <t>The subkey has the fingerprint <tt>1090ff914d4fb0a40eb3354aeec8575609f0f72e6ad881f54e94932cd78227f6</tt>.</t>
          <sourcecode type="application/pgp-keys" name="v6-slhdsa-128s-sample-sk.asc"><![CDATA[
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n1h+k/xD3hah
-----END PGP PRIVATE KEY BLOCK-----
]]></sourcecode>
        </section>
        <section anchor="test-vector-pub-slhdsa-128s">
          <name>Transferable Public Key</name>
          <t>Here is the corresponding Transferable Public Key for <xref target="test-vector-sec-slhdsa-128s"/> consisting of:</t>
          <ul spacing="normal">
            <li>
              <t>A v6 SLH-DSA-128s Public-Key packet</t>
            </li>
            <li>
              <t>A v6 direct key self-signature</t>
            </li>
            <li>
              <t>A User ID packet</t>
            </li>
            <li>
              <t>A v6 positive certification self-signature</t>
            </li>
            <li>
              <t>A v6 ML-KEM-768+X25519 Public-Subkey packet</t>
            </li>
            <li>
              <t>A v6 subkey binding signature</t>
            </li>
          </ul>
          <sourcecode type="application/pgp-keys" name="v6-slhdsa-128s-sample-pk.asc"><![CDATA[
-----BEGIN PGP PUBLIC KEY BLOCK-----

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2rIn1RDfSQxAaB8G6Gn8nCrcyr/PdflcfUzq1+EEXTE/AlYI19V6FPUVJDwzZKOa
2akvITNk4GtEzUjjdOV7KoxuVEa/2504Fo9rk27u43omY8uY8pipmxEQV1FiR4lA
Ql7VJ0C4w4az/eYATugv68M2nA7RRAYDalBb4nwK6CWMSD70cYjzd8vdO85Xk005
76khLt0xLtG1QmCDyxUqAUdKHvy1GoWpI6RXHbSun1h+k/xD3hah
-----END PGP PUBLIC KEY BLOCK-----
]]></sourcecode>
        </section>
        <section anchor="encrypted-and-signed-message-4">
          <name>Encrypted and Signed Message</name>
          <t>Here is a signed message "Testing\n" encrypted to the certificate <xref target="test-vector-pub-slhdsa-128s"/> and signed by the secret key <xref target="test-vector-sec-slhdsa-128s"/>:</t>
          <ul spacing="normal">
            <li>
              <t>A v6 PKESK</t>
            </li>
            <li>
              <t>A v2 SEIPD</t>
            </li>
          </ul>
          <t>The hex-encoded <tt>mlkemKeyShare</tt> input to <tt>multiKeyCombine</tt> is <tt>daca96724eaee6a4353554dab8a0fdcc5efec22f7880ab93fcf65b0e833a716c</tt>.</t>
          <t>The hex-encoded <tt>ecdhKeyShare</tt> input to <tt>multiKeyCombine</tt> is <tt>66abbce3af562ad2e95489c2e53c27d98f832240579a468f5a2ca6cfbe10ad7a</tt>.</t>
          <t>The hex-encoded output of <tt>multiKeyCombine</tt> is <tt>37348a4e107d3dda99af10f1ce2711a539176e709a1fd8be1068ff2c297facb1</tt>.</t>
          <t>The hex-encoded session key is <tt>2c2cc21a9a2f765af36e9e767d6c3aebd81e1b93d6b9bee38fdfa6e679a5409d</tt>.</t>
          <sourcecode type="application/pgp-keys" name="v6-slhdsa-128s-sample-message.asc"><![CDATA[
-----BEGIN PGP MESSAGE-----

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-----END PGP MESSAGE-----
]]></sourcecode>
        </section>
        <section anchor="detached-signature-2">
          <name>Detached signature</name>
          <t>Here is a detached signature for the message "Testing\n" made by the secret key <xref target="test-vector-sec-slhdsa-128s"/>:</t>
          <ul spacing="normal">
            <li>
              <t>A v6 signature packet</t>
            </li>
          </ul>
          <sourcecode type="application/pgp-keys" name="v6-slhdsa-128s-sample-signature.asc"><![CDATA[
-----BEGIN PGP SIGNATURE-----

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tK6fWH6T/EPeFqE=
-----END PGP SIGNATURE-----
]]></sourcecode>
        </section>
      </section>
      <section anchor="sample-slh-dsa-128f-with-ml-kem-768x25519-data">
        <name>Sample SLH-DSA-128f with ML-KEM-768+X25519 Data</name>
        <section anchor="test-vector-sec-slhdsa-128f">
          <name>Transferable Secret Key</name>
          <t>Here is a Transferable Secret Key consisting of:</t>
          <ul spacing="normal">
            <li>
              <t>A v6 SLH-DSA-128f Private-Key packet</t>
            </li>
            <li>
              <t>A v6 direct key self-signature</t>
            </li>
            <li>
              <t>A User ID packet</t>
            </li>
            <li>
              <t>A v6 positive certification self-signature</t>
            </li>
            <li>
              <t>A v6 ML-KEM-768+X25519 Private-Subkey packet</t>
            </li>
            <li>
              <t>A v6 subkey binding signature</t>
            </li>
          </ul>
          <t>The primary key has the fingerprint <tt>7625d0725493f2a0c38080e3a3928016d73ec056e4cf54b1f93a1da7794e67ad</tt>.</t>
          <t>The subkey has the fingerprint <tt>cea501a4831757a33b9fa03973b81656cf2ecac6f705daf1647e1f7190366ca6</tt>.</t>
          <sourcecode type="application/pgp-keys" name="v6-slhdsa-128f-sample-sk.asc"><![CDATA[
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-----END PGP PRIVATE KEY BLOCK-----
]]></sourcecode>
        </section>
        <section anchor="test-vector-pub-slhdsa-128f">
          <name>Transferable Public Key</name>
          <t>Here is the corresponding Transferable Public Key for <xref target="test-vector-sec-slhdsa-128f"/> consisting of:</t>
          <ul spacing="normal">
            <li>
              <t>A v6 SLH-DSA-128f Public-Key packet</t>
            </li>
            <li>
              <t>A v6 direct key self-signature</t>
            </li>
            <li>
              <t>A User ID packet</t>
            </li>
            <li>
              <t>A v6 positive certification self-signature</t>
            </li>
            <li>
              <t>A v6 ML-KEM-768+X25519 Public-Subkey packet</t>
            </li>
            <li>
              <t>A v6 subkey binding signature</t>
            </li>
          </ul>
          <sourcecode type="application/pgp-keys" name="v6-slhdsa-128f-sample-pk.asc"><![CDATA[
-----BEGIN PGP PUBLIC KEY BLOCK-----

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-----END PGP PUBLIC KEY BLOCK-----
]]></sourcecode>
        </section>
        <section anchor="detached-signature-3">
          <name>Detached signature</name>
          <t>Here is a detached signature for the message "Testing\n" made by the secret key <xref target="test-vector-sec-slhdsa-128f"/>:</t>
          <ul spacing="normal">
            <li>
              <t>A v6 signature packet</t>
            </li>
          </ul>
          <sourcecode type="application/pgp-keys" name="v6-slhdsa-128f-sample-signature.asc"><![CDATA[
-----BEGIN PGP SIGNATURE-----

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-----END PGP SIGNATURE-----
]]></sourcecode>
        </section>
      </section>
      <section anchor="sample-slh-dsa-256s-with-ml-kem-1024x448-data">
        <name>Sample SLH-DSA-256s with ML-KEM-1024+X448 Data</name>
        <section anchor="test-vector-sec-slhdsa-256s">
          <name>Transferable Secret Key</name>
          <t>Here is a Transferable Secret Key consisting of:</t>
          <ul spacing="normal">
            <li>
              <t>A v6 SLH-DSA-256s Private-Key packet</t>
            </li>
            <li>
              <t>A v6 direct key self-signature</t>
            </li>
            <li>
              <t>A User ID packet</t>
            </li>
            <li>
              <t>A v6 positive certification self-signature</t>
            </li>
            <li>
              <t>A v6 ML-KEM-1024+X448 Private-Subkey packet</t>
            </li>
            <li>
              <t>A v6 subkey binding signature</t>
            </li>
          </ul>
          <t>The primary key has the fingerprint <tt>eb55807530d02e475e5a6f403fec5ff9c60b078395fab4c9a862ec8c82a12a95</tt>.</t>
          <t>The subkey has the fingerprint <tt>6e8bbbed8d24472510941bf18639f7f799f86e8d8f3a8f49694e5687885388c1</tt>.</t>
          <sourcecode type="application/pgp-keys" name="v6-slhdsa-256s-sample-sk.asc"><![CDATA[
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1ipJX13/L+cqLCwcoPZcD875QJY=
-----END PGP PRIVATE KEY BLOCK-----
]]></sourcecode>
        </section>
        <section anchor="test-vector-pub-slhdsa-256s">
          <name>Transferable Public Key</name>
          <t>Here is the corresponding Transferable Public Key for <xref target="test-vector-sec-slhdsa-256s"/> consisting of:</t>
          <ul spacing="normal">
            <li>
              <t>A v6 SLH-DSA-256s Public-Key packet</t>
            </li>
            <li>
              <t>A v6 direct key self-signature</t>
            </li>
            <li>
              <t>A User ID packet</t>
            </li>
            <li>
              <t>A v6 positive certification self-signature</t>
            </li>
            <li>
              <t>A v6 ML-KEM-1024+X448 Public-Subkey packet</t>
            </li>
            <li>
              <t>A v6 subkey binding signature</t>
            </li>
          </ul>
          <sourcecode type="application/pgp-keys" name="v6-slhdsa-256s-sample-pk.asc"><![CDATA[
-----BEGIN PGP PUBLIC KEY BLOCK-----

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-----END PGP PUBLIC KEY BLOCK-----
]]></sourcecode>
        </section>
        <section anchor="detached-signature-4">
          <name>Detached signature</name>
          <t>Here is a detached signature for the message "Testing\n" made by the secret key <xref target="test-vector-sec-slhdsa-256s"/>:</t>
          <ul spacing="normal">
            <li>
              <t>A v6 signature packet</t>
            </li>
          </ul>
          <sourcecode type="application/pgp-keys" name="v6-slhdsa-256s-sample-signature.asc"><![CDATA[
-----BEGIN PGP SIGNATURE-----

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]]></sourcecode>
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