<?xml version='1.0' encoding='utf-8'?>
<!DOCTYPE rfc [
  <!ENTITY nbsp    "&#160;">
  <!ENTITY zwsp   "&#8203;">
  <!ENTITY nbhy   "&#8209;">
  <!ENTITY wj     "&#8288;">
]>
<?xml-stylesheet type="text/xsl" href="rfc2629.xslt" ?>
<!-- generated by https://github.com/cabo/kramdown-rfc version 1.7.29 (Ruby 3.4.4) -->
<rfc xmlns:xi="http://www.w3.org/2001/XInclude" ipr="trust200902" docName="draft-lundberg-cose-two-party-signing-algs-03" category="std" consensus="true" submissionType="IETF" xml:lang="en" tocInclude="true" sortRefs="true" symRefs="true" version="3">
  <!-- xml2rfc v2v3 conversion 3.31.0 -->
  <front>
    <title abbrev="Split signing algorithms for COSE">Split signing algorithms for COSE</title>
    <seriesInfo name="Internet-Draft" value="draft-lundberg-cose-two-party-signing-algs-03"/>
    <author fullname="Emil Lundberg" role="editor">
      <organization>Yubico</organization>
      <address>
        <postal>
          <street>Gävlegatan 22</street>
          <city>Stockholm</city>
          <country>SE</country>
        </postal>
        <email>emil@emlun.se</email>
      </address>
    </author>
    <author initials="M. B." surname="Jones" fullname="Michael B. Jones">
      <organization>Self-Issued Consulting</organization>
      <address>
        <postal>
          <country>United States</country>
        </postal>
        <email>michael_b_jones@hotmail.com</email>
        <uri>https://self-issued.info/</uri>
      </address>
    </author>
    <date year="2025" month="November" day="03"/>
    <area>Security</area>
    <workgroup>COSE</workgroup>
    <keyword>COSE</keyword>
    <keyword>Signing</keyword>
    <keyword>Algorithms</keyword>
    <keyword>Split algorithms</keyword>
    <keyword>Split signing</keyword>
    <abstract>
      <?line 124?>

<t>This specification defines COSE algorithm identifiers
for negotiating how to split a signature algorithm between two cooperating parties.
Typically the first party hashes the data to be signed
and the second party finishes the signature over the hashed data.
This is a common technique, useful for example when the signing private key is held in a smart card
or similar hardware component with limited processing power and communication bandwidth.
The resulting signatures are identical in structure to those computed by a single party,
and can be verified using the same verification algorithm
without additional steps to preprocess the signed data.</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-lundberg-cose-two-party-signing-algs/"/>.
      </t>
      <t>
        Discussion of this document takes place on the
        COSE Working Group mailing list (<eref target="mailto:cose@ietf.org"/>),
        which is archived at <eref target="https://mailarchive.ietf.org/arch/browse/cose/"/>.
        Subscribe at <eref target="https://www.ietf.org/mailman/listinfo/cose/"/>.
      </t>
      <t>Source for this draft and an issue tracker can be found at
        <eref target="https://github.com/YubicoLabs/cose-two-party-signing-algs-rfc"/>.</t>
    </note>
  </front>
  <middle>
    <?line 136?>

<section anchor="introduction">
      <name>Introduction</name>
      <t>CBOR Object Signing and Encryption (COSE) <xref target="RFC9052"/>
algorithm identifiers are used for algorithm negotiation
and to annotate cryptographic objects with how to interpret them,
for example which algorithm to use to verify a signature or decapsulate a shared key.
Existing COSE algorithm identifiers omit some internal details of how the object was constructed,
since those details are typically irrelevant for the recipient.</t>
      <t>The algorithm identifiers defined in this specification are meant for a complementary use case:
to divide responsibilities during <em>construction</em> of a cryptographic object,
instead of describing how to <em>consume</em> the object.
Specifically, they provide an interoperable way to negotiate
how a signing operation is split between two cooperating parties,
for example, a smart card and a software application,
while the verification algorithm for the resulting signature remains the same
as if the signature was created by a single party.
These split algorithm identifiers are therefore not meant for annotating signature objects,
since the verification algorithm is better indicated using already existing algorithm identifiers.</t>
      <t>As mentioned above, a primary use case for this is for algorithm negotiation
between a software application and a smart card or other hardware security module (HSM) holding the signing private key.
Since the HSM may have limited processing power and communication bandwidth,
it may not be practical to send the entire original message to the HSM.
Instead, since most signature algorithms begin with digesting the message
into a fixed-length intermediate input, this initial digest can be computed by the software application
while the HSM performs the rest of the signature algorithm on the digest.
This is a common technique used in standards such as OpenPGP <xref target="OPENPGPCARD"/>,
PKCS #11 <xref target="PKCS11-Spec-v3.1"/>, and PIV <xref target="FIPS-201"/>.</t>
      <t>Since different signature algorithms digest the message in different ways
and at different stages of the algorithm,
it is not possible for a cryptographic API to specify that, for example, "the hash digest is computed by the caller"
generically for all algorithms.
Instead, the algorithm identifiers defined in this specification
enable the parties of that cryptographic API to signal precisely, for each signature algorithm individually,
which steps of the algorithm are performed by which party.
We thus define two roles:
the <em>digester</em> (e.g., a software application) that initializes the signing procedure,
and the <em>signer</em> (e.g., an HSM) that holds exclusive control of the signing private key.</t>
      <t>Note that these algorithm identifiers do not define new "pre-hashed" variants of the base signature algorithm,
nor an intermediate "hash envelope" data structure, such as that defined in <xref target="I-D.COSE-Hash-Envelope"/>.
Rather, these identifiers denote existing signature algorithms
that would typically be executed by a single party,
but split into two stages.</t>
      <t>Some signature algorithms,
such as PureEdDSA <xref target="RFC8032"/>,
by their design, cannot be split in this way, and therefore cannot be assigned split signing algorithm identifiers.
However, if such a signature algorithm defines a "pre-hashed" variant,
such as Ed25519ph <xref target="RFC8032"/>,
that "pre-hashed" algorithm can be assigned a split signing algorithm identifier,
enabling the pre-hashing step to be performed by the <em>digester</em>
and the remaining steps by the <em>signer</em>.</t>
      <section anchor="requirements-notation-and-conventions">
        <name>Requirements Notation and Conventions</name>
        <t>The key words "MUST", "MUST NOT", "REQUIRED", "SHALL", "SHALL NOT", "SHOULD", "SHOULD NOT", "RECOMMENDED", "NOT RECOMMENDED", "MAY", and "OPTIONAL" in this document are to be interpreted as described in BCP 14 <xref target="RFC8174">RFC2119</xref> when, and only when, they appear in all capitals, as shown here.</t>
      </section>
    </section>
    <section anchor="split-algs">
      <name>Split Signing Algorithms</name>
      <t>This section defines divisions of signing algorithm steps between a <em>digester</em> and a <em>signer</em>
in a split signing protocol,
and assigns algorithm identifiers to these algorithm divisions.
The <em>digester</em> performs the first part of the split algorithm and does not have access to the signing private key,
while the <em>signer</em> performs the second part of the split algorithm and has access to the signing private key.
For signing algorithms that format the message to insert domain separation tags,
as described in <xref section="2.2.5" sectionFormat="of" target="RFC9380"/>,
this message formatting is also performed by the <em>signer</em>.</t>
      <t>The algorithm identifiers defined in this specification
MAY appear in COSE structures used internally between the <em>digester</em> and the <em>signer</em> in a split signing protocol,
but SHOULD NOT appear in COSE structures consumed by signature verifiers.
COSE structures consumed by signature verifiers
SHOULD instead use the corresponding conventional algorithm identifiers for the verification algorithm.
These are listed in the "Verification algorithm" column in the tables defining split signing algorithm identifiers.</t>
      <section anchor="ecdsa-split">
        <name>ECDSA</name>
        <t>ECDSA <xref target="FIPS-186-5"/> split signing uses the following division between the <em>digester</em> and the <em>signer</em>
of the steps of the ECDSA signature generation algorithm <xref target="FIPS-186-5"/>:</t>
        <ul spacing="normal">
          <li>
            <t>The signing procedure is defined in Section 6.4.1 of <xref target="FIPS-186-5"/>.</t>
          </li>
          <li>
            <t>The <em>digester</em> performs Step 1 of the signing procedure - hashing the message, producing the value <em>H</em>.</t>
          </li>
          <li>
            <t>The message input to the <em>signer</em> is the value <em>H</em> defined in the signing procedure.</t>
          </li>
          <li>
            <t>The <em>signer</em> resumes the signing procedure from Step 2.</t>
          </li>
        </ul>
        <t>The following algorithm identifiers are defined:</t>
        <table anchor="tbl-ecdsa-split">
          <name>ECDSA split signing algorithm values.</name>
          <thead>
            <tr>
              <th align="left">Name</th>
              <th align="left">COSE Value</th>
              <th align="left">Verification algorithm</th>
              <th align="left">Description</th>
            </tr>
          </thead>
          <tbody>
            <tr>
              <td align="left">ESP256-split</td>
              <td align="left">TBD</td>
              <td align="left">ESP256</td>
              <td align="left">ESP256 split signing as defined in <xref target="ecdsa-split"/></td>
            </tr>
            <tr>
              <td align="left">ESP384-split</td>
              <td align="left">TBD</td>
              <td align="left">ESP384</td>
              <td align="left">ESP384 split signing as defined in <xref target="ecdsa-split"/></td>
            </tr>
            <tr>
              <td align="left">ESP512-split</td>
              <td align="left">TBD</td>
              <td align="left">ESP512</td>
              <td align="left">ESP512 split signing as defined in <xref target="ecdsa-split"/></td>
            </tr>
          </tbody>
        </table>
        <t>Note: This is distinct from the similarly named Split-ECDSA (SECDSA) <xref target="SECDSA"/>,
although SECDSA can be implemented using this split procedure as a component.</t>
      </section>
      <section anchor="eddsa-split">
        <name>HashEdDSA</name>
        <t>Split HashEdDSA <xref target="RFC8032"/> uses the following division between the <em>digester</em> and the <em>signer</em>
of the steps of the HashEdDSA signing algorithm <xref target="RFC8032"/>:</t>
        <ul spacing="normal">
          <li>
            <t>HashEdDSA is a combination of the EdDSA signing procedure and the PureEdDSA signing procedure.
The EdDSA signing procedure is defined in the first paragraph of <xref section="3.3" sectionFormat="of" target="RFC8032"/>.
The PureEdDSA signing procedure is defined in the second paragraph of <xref section="3.3" sectionFormat="of" target="RFC8032"/>.</t>
          </li>
          <li>
            <t>The <em>digester</em> computes the value <tt>PH(M)</tt> defined in the EdDSA signing procedure.</t>
          </li>
          <li>
            <t>The message input to the <em>signer</em> is the value <tt>PH(M)</tt> defined in the EdDSA signing procedure.
This value is represented as <tt>M</tt> in the PureEdDSA signing procedure.</t>
          </li>
          <li>
            <t>The <em>signer</em> executes the PureEdDSA signing procedure,
where the value denoted <tt>M</tt> in the PureEdDSA signing procedure
takes the value denoted <tt>PH(M)</tt> in the EdDSA signing procedure.</t>
          </li>
        </ul>
        <t>PureEdDSA <xref target="RFC8032"/> cannot be divided in this way
since such a division would require that the <em>digester</em> has access to the private key.</t>
        <t>The following algorithm identifiers are defined:</t>
        <table anchor="tbl-eddsa-split">
          <name>HashEdDSA algorithm values.</name>
          <thead>
            <tr>
              <th align="left">Name</th>
              <th align="left">COSE Value</th>
              <th align="left">Verification algorithm</th>
              <th align="left">Description</th>
            </tr>
          </thead>
          <tbody>
            <tr>
              <td align="left">Ed25519ph</td>
              <td align="left">TBD</td>
              <td align="left">Ed25519ph</td>
              <td align="left">EdDSA using the Ed25519ph parameter set in <xref section="5.1" sectionFormat="of" target="RFC8032"/></td>
            </tr>
            <tr>
              <td align="left">Ed25519ph-split</td>
              <td align="left">TBD</td>
              <td align="left">Ed25519ph</td>
              <td align="left">EdDSA using the Ed25519ph parameter set in <xref section="5.1" sectionFormat="of" target="RFC8032"/> and split as defined in <xref target="eddsa-split"/></td>
            </tr>
            <tr>
              <td align="left">Ed448ph</td>
              <td align="left">TBD</td>
              <td align="left">Ed448ph</td>
              <td align="left">EdDSA using the Ed448ph parameter set in <xref section="5.2" sectionFormat="of" target="RFC8032"/></td>
            </tr>
            <tr>
              <td align="left">Ed448ph-split</td>
              <td align="left">TBD</td>
              <td align="left">Ed448ph</td>
              <td align="left">EdDSA using the Ed448ph parameter set in <xref section="5.2" sectionFormat="of" target="RFC8032"/> and split as defined in <xref target="eddsa-split"/></td>
            </tr>
          </tbody>
        </table>
      </section>
    </section>
    <section anchor="cose-sign-args">
      <name>COSE Signing Arguments</name>
      <t>While many signature algorithms take the private key and data to be signed as the only two parameters,
some signature algorithms have additional parameters that must also be set.
For example,
to sign using a key derived by ARKG <xref target="I-D.bradleylundberg-ARKG"/>,
two additional arguments <tt>kh</tt> and <tt>ctx</tt> are needed in <tt>ARKG-Derive-Private-Key</tt> to derive the signing private key.</t>
      <t>While such additional arguments are simple to provide to the API of the signing procedure in a single-party context,
in a split signing context these additional arguments also need to be conveyed from the <em>digester</em> to the <em>signer</em>.
For this purpose, we define a new COSE structure <tt>COSE_Sign_Args</tt> for "COSE signing arguments".
This enables defining a unified, algorithm-agnostic protocol between the <em>digester</em> and the <em>signer</em>,
rather than requiring a distinct protocol for each signature algorithm for the sake of conveying algorithm-specific parameters.</t>
      <t><tt>COSE_Sign_Args</tt> is built on a CBOR map.
The set of common parameters that can appear in a <tt>COSE_Sign_Args</tt>
can be found in the IANA "COSE Signing Arguments Common Parameters" registry (TODO).
Additional parameters defined for specific signing algorithms
can be found in the IANA "COSE Signing Arguments Algorithm Parameters" registry (TODO).</t>
      <t>The CDDL grammar describing <tt>COSE_Sign_Args</tt>, using the CDDL fragment defined in <xref section="1.5" sectionFormat="of" target="RFC9052"/>, is:</t>
      <sourcecode type="cddl"><![CDATA[
COSE_Sign_Args = {
    3 ^ => tstr / int,  ; alg
    * label => values,
}
]]></sourcecode>
      <section anchor="cose-sign-args-common">
        <name>COSE Signing Arguments Common Parameters</name>
        <t>This document defines a set of common parameters for a COSE Signing Arguments object.
<xref target="tbl-cose-sign-args-common"/> provides a summary of the parameters defined in this section.</t>
        <table anchor="tbl-cose-sign-args-common">
          <name>Common parameters of the COSE_Sign_Args structure.</name>
          <thead>
            <tr>
              <th align="left">Name</th>
              <th align="left">Label</th>
              <th align="left">CBOR Type</th>
              <th align="left">Value Registry</th>
              <th align="left">Description</th>
            </tr>
          </thead>
          <tbody>
            <tr>
              <td align="left">alg</td>
              <td align="left">3</td>
              <td align="left">tstr / int</td>
              <td align="left">COSE Algorithms</td>
              <td align="left">Signing algorithm to use</td>
            </tr>
          </tbody>
        </table>
        <ul spacing="normal">
          <li>
            <t>alg: This parameter identifies the signing algorithm the additional arguments apply to.
The signer MUST verify that this algorithm matches any key usage restrictions set on the key to be used.
If the algorithms do not match, then the signature operation MUST be aborted with an error.</t>
          </li>
        </ul>
        <t>Definitions of COSE algorithms MAY define additional algorithm-specific parameters for <tt>COSE_Sign_Args</tt>.</t>
        <t>The following CDDL example conveys additional arguments for signing data
using the ESP256-split algorithm (see <xref target="ecdsa-split"/>)
and a key derived using <tt>ARKG-P256</tt> <xref target="I-D.bradleylundberg-ARKG"/>:</t>
        <sourcecode type="cddl"><![CDATA[
{
  3: -65539,   ; alg: ESP256-split with ARKG-P256 (placeholder value)

               ; ARKG-P256 key handle
               ; (HMAC-SHA-256-128 followed by
                  SEC1 uncompressed ECDH public key)
  -1: h'27987995f184a44cfa548d104b0a461d
        0487fc739dbcdabc293ac5469221da91b220e04c681074ec4692a76ffacb9043de
          c2847ea9060fd42da267f66852e63589f0c00dc88f290d660c65a65a50c86361',

               ; ctx argument to ARKG-Derive-Private-Key
  -2: 'ARKG-P256.test vectors',
}
]]></sourcecode>
      </section>
    </section>
    <section anchor="security-cons">
      <name>Security Considerations</name>
      <section anchor="sec-cons-trusted-roles-protocol">
        <name>Protocol-Level Trusted Roles</name>
        <t>This specification assumes that both the <em>digester</em> and <em>signer</em> roles
described in <xref target="split-algs"/> are trusted and cooperate honestly.
This is because these split signing procedures concern details
that are considered implementation details from a verifier's perspective.
When a signature is generated by a single party,
that single party takes on both the <em>digester</em> and the <em>signer</em> roles,
and obviously trusts itself to perform the <em>digester</em> role honestly.
This assumption is carried forward for the split signing use case:
the <em>digester</em> is assumed trusted,
since it is part of the overall procedure of generating a signature over some input data.
From the verifier's perspective,
a malicious <em>digester</em> in the split signing model would have the same powers
as a malicious signature generator in a single-party signing model.
Thus, on the application or protocol level,
assuming an honest <em>digester</em> is no more restrictive than assuming an honest signature generator.</t>
      </section>
      <section anchor="sec-cons-trusted-roles-comp">
        <name>Component-Level Trusted Roles</name>
        <t>The reasoning in <xref target="sec-cons-trusted-roles-protocol"/> does not hold on the component level.
A <em>signer</em> implementation MUST NOT assume that the <em>digester</em> implementation
it interoperates with is necessarily honest.
Split signing algorithms MUST NOT be defined in a way
that enables a malicious <em>digester</em> with access to an honest <em>signer</em>
to produce forgeries or extract secrets from the <em>signer</em>.</t>
        <t>For example, for ECDSA (<xref target="ecdsa-split"/>), a malicious <em>digester</em> can choose <em>H</em>
in such a way that the <em>signer</em> will derive any <em>digester</em>-chosen value of <em>e</em>,
including zero or other potentially problematic values.
Fortunately, in this case, this does not enable the <em>digester</em> to extract the signature nonce or private key.
It also does not enable forgeries,
since the <em>digester</em> still needs to find a preimage of <em>e</em> for the relevant hash function.
Definitions of other algorithms need to ensure that similar chosen-input attacks
do not enable extracting secrets or forging protocol-level messages.</t>
      </section>
    </section>
    <section anchor="IANA">
      <name>IANA Considerations</name>
      <section anchor="cose-alg-reg">
        <name>COSE Algorithms Registrations</name>
        <t>This section registers the following values in the IANA "COSE Algorithms" registry <xref target="IANA.COSE"/>:</t>
        <ul spacing="normal">
          <li>
            <t>Name: ESP256-split
            </t>
            <ul spacing="normal">
              <li>
                <t>Value: TBD (Requested Assignment -300)</t>
              </li>
              <li>
                <t>Description: ESP256 split signing</t>
              </li>
              <li>
                <t>Capabilities: [kty]</t>
              </li>
              <li>
                <t>Change Controller: IETF</t>
              </li>
              <li>
                <t>Reference: <xref target="ecdsa-split"/> of this specification</t>
              </li>
              <li>
                <t>Recommended: Yes</t>
              </li>
            </ul>
          </li>
          <li>
            <t>Name: ESP384-split
            </t>
            <ul spacing="normal">
              <li>
                <t>Value: TBD (Requested Assignment -301)</t>
              </li>
              <li>
                <t>Description: ESP384 split signing</t>
              </li>
              <li>
                <t>Capabilities: [kty]</t>
              </li>
              <li>
                <t>Change Controller: IETF</t>
              </li>
              <li>
                <t>Reference: <xref target="ecdsa-split"/> of this specification</t>
              </li>
              <li>
                <t>Recommended: Yes</t>
              </li>
            </ul>
          </li>
          <li>
            <t>Name: ESP512-split
            </t>
            <ul spacing="normal">
              <li>
                <t>Value: TBD (Requested Assignment -302)</t>
              </li>
              <li>
                <t>Description: ESP512 split signing</t>
              </li>
              <li>
                <t>Capabilities: [kty]</t>
              </li>
              <li>
                <t>Change Controller: IETF</t>
              </li>
              <li>
                <t>Reference: <xref target="ecdsa-split"/> of this specification</t>
              </li>
              <li>
                <t>Recommended: Yes</t>
              </li>
            </ul>
          </li>
          <li>
            <t>Name: Ed25519ph
            </t>
            <ul spacing="normal">
              <li>
                <t>Value: TBD</t>
              </li>
              <li>
                <t>Description: EdDSA using the Ed25519ph parameter set in <xref section="5.1" sectionFormat="of" target="RFC8032"/></t>
              </li>
              <li>
                <t>Capabilities: [kty]</t>
              </li>
              <li>
                <t>Change Controller: IETF</t>
              </li>
              <li>
                <t>Reference: <xref section="5.1" sectionFormat="of" target="RFC8032"/></t>
              </li>
              <li>
                <t>Recommended: Yes</t>
              </li>
            </ul>
          </li>
          <li>
            <t>Name: Ed25519ph-split
            </t>
            <ul spacing="normal">
              <li>
                <t>Value: TBD (Requested Assignment -303)</t>
              </li>
              <li>
                <t>Description: Ed25519ph split as defined in <xref target="eddsa-split"/></t>
              </li>
              <li>
                <t>Capabilities: [kty]</t>
              </li>
              <li>
                <t>Change Controller: IETF</t>
              </li>
              <li>
                <t>Reference: <xref target="eddsa-split"/> of this specification</t>
              </li>
              <li>
                <t>Recommended: Yes</t>
              </li>
            </ul>
          </li>
          <li>
            <t>Name: Ed448ph
            </t>
            <ul spacing="normal">
              <li>
                <t>Value: TBD</t>
              </li>
              <li>
                <t>Description: EdDSA using the Ed448ph parameter set in <xref section="5.2" sectionFormat="of" target="RFC8032"/></t>
              </li>
              <li>
                <t>Capabilities: [kty]</t>
              </li>
              <li>
                <t>Change Controller: IETF</t>
              </li>
              <li>
                <t>Reference: <xref section="5.2" sectionFormat="of" target="RFC8032"/></t>
              </li>
              <li>
                <t>Recommended: Yes</t>
              </li>
            </ul>
          </li>
          <li>
            <t>Name: Ed448ph-split
            </t>
            <ul spacing="normal">
              <li>
                <t>Value: TBD (Requested Assignment -304)</t>
              </li>
              <li>
                <t>Description: Ed448ph split as defined in <xref target="eddsa-split"/></t>
              </li>
              <li>
                <t>Capabilities: [kty]</t>
              </li>
              <li>
                <t>Change Controller: IETF</t>
              </li>
              <li>
                <t>Reference: <xref target="eddsa-split"/> of this specification</t>
              </li>
              <li>
                <t>Recommended: Yes</t>
              </li>
            </ul>
          </li>
        </ul>
      </section>
      <section anchor="cose-signing-arguments-common-parameters-registry">
        <name>COSE Signing Arguments Common Parameters Registry</name>
        <t>TODO</t>
      </section>
      <section anchor="cose-signing-arguments-algorithm-parameters-registry">
        <name>COSE Signing Arguments Algorithm Parameters Registry</name>
        <t>TODO</t>
      </section>
    </section>
  </middle>
  <back>
    <references anchor="sec-combined-references">
      <name>References</name>
      <references anchor="sec-normative-references">
        <name>Normative References</name>
        <reference anchor="I-D.bradleylundberg-ARKG">
          <front>
            <title>The Asynchronous Remote Key Generation (ARKG) algorithm</title>
            <author fullname="Emil Lundberg" initials="E." surname="Lundberg">
              <organization>Yubico</organization>
            </author>
            <author fullname="John Bradley" initials="J." surname="Bradley">
              <organization>Yubico</organization>
            </author>
            <date day="7" month="July" year="2025"/>
            <abstract>
              <t>   Asynchronous Remote Key Generation (ARKG) is an abstract algorithm
   that enables delegation of asymmetric public key generation without
   giving access to the corresponding private keys.  This capability
   enables a variety of applications: a user agent can generate
   pseudonymous public keys to prevent tracking; a message sender can
   generate ephemeral recipient public keys to enhance forward secrecy;
   two paired authentication devices can each have their own private
   keys while each can register public keys on behalf of the other.

   This document provides three main contributions: a specification of
   the generic ARKG algorithm using abstract primitives; a set of
   formulae for instantiating the abstract primitives using concrete
   primitives; and an initial set of fully specified concrete ARKG
   instances.  We expect that additional instances will be defined in
   the future.

              </t>
            </abstract>
          </front>
          <seriesInfo name="Internet-Draft" value="draft-bradleylundberg-cfrg-arkg-09"/>
        </reference>
        <reference anchor="IANA.COSE" target="https://www.iana.org/assignments/cose/">
          <front>
            <title>CBOR Object Signing and Encryption (COSE)</title>
            <author>
              <organization>IANA</organization>
            </author>
            <date>n.d.</date>
          </front>
        </reference>
        <reference anchor="RFC2119">
          <front>
            <title>Key words for use in RFCs to Indicate Requirement Levels</title>
            <author fullname="S. Bradner" initials="S." surname="Bradner"/>
            <date month="March" year="1997"/>
            <abstract>
              <t>In many standards track documents several words are used to signify the requirements in the specification. These words are often capitalized. This document defines these words as they should be interpreted in IETF documents. This document specifies an Internet Best Current Practices for the Internet Community, and requests discussion and suggestions for improvements.</t>
            </abstract>
          </front>
          <seriesInfo name="BCP" value="14"/>
          <seriesInfo name="RFC" value="2119"/>
          <seriesInfo name="DOI" value="10.17487/RFC2119"/>
        </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="RFC8174">
          <front>
            <title>Ambiguity of Uppercase vs Lowercase in RFC 2119 Key Words</title>
            <author fullname="B. Leiba" initials="B." surname="Leiba"/>
            <date month="May" year="2017"/>
            <abstract>
              <t>RFC 2119 specifies common key words that may be used in protocol specifications. This document aims to reduce the ambiguity by clarifying that only UPPERCASE usage of the key words have the defined special meanings.</t>
            </abstract>
          </front>
          <seriesInfo name="BCP" value="14"/>
          <seriesInfo name="RFC" value="8174"/>
          <seriesInfo name="DOI" value="10.17487/RFC8174"/>
        </reference>
        <reference anchor="RFC8610">
          <front>
            <title>Concise Data Definition Language (CDDL): A Notational Convention to Express Concise Binary Object Representation (CBOR) and JSON Data Structures</title>
            <author fullname="H. Birkholz" initials="H." surname="Birkholz"/>
            <author fullname="C. Vigano" initials="C." surname="Vigano"/>
            <author fullname="C. Bormann" initials="C." surname="Bormann"/>
            <date month="June" year="2019"/>
            <abstract>
              <t>This document proposes a notational convention to express Concise Binary Object Representation (CBOR) data structures (RFC 7049). Its main goal is to provide an easy and unambiguous way to express structures for protocol messages and data formats that use CBOR or JSON.</t>
            </abstract>
          </front>
          <seriesInfo name="RFC" value="8610"/>
          <seriesInfo name="DOI" value="10.17487/RFC8610"/>
        </reference>
        <reference anchor="RFC9052">
          <front>
            <title>CBOR Object Signing and Encryption (COSE): Structures and Process</title>
            <author fullname="J. Schaad" initials="J." surname="Schaad"/>
            <date month="August" year="2022"/>
            <abstract>
              <t>Concise Binary Object Representation (CBOR) is a data format designed for small code size and small message size. There is a need to be able to define basic security services for this data format. This document defines the CBOR Object Signing and Encryption (COSE) protocol. This specification describes how to create and process signatures, message authentication codes, and encryption using CBOR for serialization. This specification additionally describes how to represent cryptographic keys using CBOR.</t>
              <t>This document, along with RFC 9053, obsoletes RFC 8152.</t>
            </abstract>
          </front>
          <seriesInfo name="STD" value="96"/>
          <seriesInfo name="RFC" value="9052"/>
          <seriesInfo name="DOI" value="10.17487/RFC9052"/>
        </reference>
        <reference anchor="RFC9864">
          <front>
            <title>Fully-Specified Algorithms for JSON Object Signing and Encryption (JOSE) and CBOR Object Signing and Encryption (COSE)</title>
            <author fullname="M.B. Jones" initials="M.B." surname="Jones"/>
            <author fullname="O. Steele" initials="O." surname="Steele"/>
            <date month="October" year="2025"/>
            <abstract>
              <t>This specification refers to cryptographic algorithm identifiers that fully specify the cryptographic operations to be performed, including any curve, key derivation function (KDF), and hash functions, as being "fully specified". It refers to cryptographic algorithm identifiers that require additional information beyond the algorithm identifier to determine the cryptographic operations to be performed as being "polymorphic". This specification creates fully-specified algorithm identifiers for registered JSON Object Signing and Encryption (JOSE) and CBOR Object Signing and Encryption (COSE) polymorphic algorithm identifiers, enabling applications to use only fully-specified algorithm identifiers. It deprecates those polymorphic algorithm identifiers.</t>
              <t>This specification updates RFCs 7518, 8037, and 9053. It deprecates polymorphic algorithms defined by RFCs 8037 and 9053 and provides fully-specified replacements for them. It adds to the instructions to designated experts in RFCs 7518 and 9053.</t>
            </abstract>
          </front>
          <seriesInfo name="RFC" value="9864"/>
          <seriesInfo name="DOI" value="10.17487/RFC9864"/>
        </reference>
        <reference anchor="SEC1" target="https://www.secg.org/sec1-v2.pdf">
          <front>
            <title>SEC 1: Elliptic Curve Cryptography</title>
            <author>
              <organization>Certicom Research</organization>
            </author>
            <date year="2009" month="May"/>
          </front>
        </reference>
      </references>
      <references anchor="sec-informative-references">
        <name>Informative References</name>
        <reference anchor="FIPS-201" target="https://doi.org/10.6028/NIST.SP.800-73pt2-5">
          <front>
            <title>Interfaces for Personal Identity Verification: Part 2 – PIV Card Application Card Command Interface</title>
            <author fullname="Hildegard Ferraiolo">
              <organization>National Institute of Standards and Technology, Gaithersburg, MD</organization>
            </author>
            <author fullname="Ketan Mehta">
              <organization>National Institute of Standards and Technology, Gaithersburg, MD</organization>
            </author>
            <author fullname="Salvatore Francomacaro">
              <organization>National Institute of Standards and Technology, Gaithersburg, MD</organization>
            </author>
            <author fullname="Ramaswamy Chandramouli">
              <organization>National Institute of Standards and Technology, Gaithersburg, MD</organization>
            </author>
            <author fullname="Sarbari Gupta">
              <organization>National Institute of Standards and Technology, Gaithersburg, MD</organization>
            </author>
            <date year="2024"/>
          </front>
          <refcontent>NIST Special Publication (SP) NIST SP 800-73pt2-5</refcontent>
        </reference>
        <reference anchor="FIPS-204" target="https://nvlpubs.nist.gov/nistpubs/FIPS/NIST.FIPS.204.pdf">
          <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-186-5" target="https://nvlpubs.nist.gov/nistpubs/FIPS/NIST.FIPS.186-5.pdf">
          <front>
            <title>Digital Signature Standard (DSS)</title>
            <author>
              <organization>National Institute of Standards and Technology</organization>
            </author>
            <date year="2023" month="February"/>
          </front>
        </reference>
        <reference anchor="I-D.COSE-Hash-Envelope">
          <front>
            <title>COSE Hash Envelope</title>
            <author fullname="Orie Steele" initials="O." surname="Steele">
         </author>
            <author fullname="Steve Lasker" initials="S." surname="Lasker">
         </author>
            <author fullname="Henk Birkholz" initials="H." surname="Birkholz">
              <organization>Fraunhofer SIT</organization>
            </author>
            <date day="22" month="October" year="2025"/>
            <abstract>
              <t>   This document defines new COSE header parameters for signaling a
   payload as an output of a hash function.  This mechanism enables
   faster validation, as access to the original payload is not required
   for signature validation.  Additionally, hints of the detached
   payload's content format and availability are defined, providing
   references to optional discovery mechanisms that can help to find
   original payload content.

              </t>
            </abstract>
          </front>
          <seriesInfo name="Internet-Draft" value="draft-ietf-cose-hash-envelope-09"/>
        </reference>
        <reference anchor="PKCS11-Spec-v3.1" target="https://docs.oasis-open.org/pkcs11/pkcs11-spec/v3.1/os/pkcs11-spec-v3.1-os.html">
          <front>
            <title>PKCS #11 Specification Version 3.1.</title>
            <author fullname="Dieter Bong">
              <organization/>
            </author>
            <author fullname="Tony Cox">
              <organization/>
            </author>
            <date year="2023" month="July" day="23"/>
          </front>
          <annotation>Latest stage: <eref target="https://docs.oasis-open.org/pkcs11/pkcs11-spec/v3.1/pkcs11-spec-v3.1.html">https://docs.oasis-open.org/pkcs11/pkcs11-spec/v3.1/pkcs11-spec-v3.1.html</eref>.</annotation>
          <refcontent>OASIS Standard</refcontent>
        </reference>
        <reference anchor="OPENPGPCARD" target="https://gnupg.org/ftp/specs/OpenPGP-smart-card-application-3.4.1.pdf">
          <front>
            <title>Functional Specification of the OpenPGP application on ISO Smart Card Operating Systems</title>
            <author fullname="Achim Pietig">
              <organization/>
            </author>
            <date year="2020" month="March"/>
          </front>
          <refcontent>Version 3.4.1</refcontent>
        </reference>
        <reference anchor="RFC9380">
          <front>
            <title>Hashing to Elliptic Curves</title>
            <author fullname="A. Faz-Hernandez" initials="A." surname="Faz-Hernandez"/>
            <author fullname="S. Scott" initials="S." surname="Scott"/>
            <author fullname="N. Sullivan" initials="N." surname="Sullivan"/>
            <author fullname="R. S. Wahby" initials="R. S." surname="Wahby"/>
            <author fullname="C. A. Wood" initials="C. A." surname="Wood"/>
            <date month="August" year="2023"/>
            <abstract>
              <t>This document specifies a number of algorithms for encoding or hashing an arbitrary string to a point on an elliptic curve. This document is a product of the Crypto Forum Research Group (CFRG) in the IRTF.</t>
            </abstract>
          </front>
          <seriesInfo name="RFC" value="9380"/>
          <seriesInfo name="DOI" value="10.17487/RFC9380"/>
        </reference>
        <reference anchor="SECDSA" target="https://eprint.iacr.org/2021/910">
          <front>
            <title>SECDSA: Mobile signing and authentication under classical "sole control"</title>
            <author fullname="Eric Verheul">
              <organization/>
            </author>
            <date year="2021" month="July"/>
          </front>
        </reference>
      </references>
    </references>
    <?line 451?>

<section numbered="false" anchor="document-history">
      <name>Document History</name>
      <t>-03</t>
      <ul spacing="normal">
        <li>
          <t>Updated reference to ARKG parameter <tt>info</tt> renamed to <tt>ctx</tt>.</t>
        </li>
        <li>
          <t>Refined abstract and introduction to emphasize that the central novelty is not split algorithms as a concept,
but providing COSE algorithm identifiers for use cases that benefit from such splitting.</t>
        </li>
        <li>
          <t>Replaced reference to draft-ietf-jose-fully-specified-algorithms with RFC 9864.</t>
        </li>
        <li>
          <t>Added inline definitions of Ed25519ph and Ed448ph registrations,
replacing speculative references to registrations that do not exist elsewhere.</t>
        </li>
        <li>
          <t>Added missing captions to Tables 1 and 2.</t>
        </li>
        <li>
          <t>Added Security Considerations section.</t>
        </li>
      </ul>
      <t>-02</t>
      <ul spacing="normal">
        <li>
          <t>Renamed document from "COSE Algorithms for Two-Party Signing" to "Split signing algorithms for COSE"
and updated introduction and terminology accordingly.</t>
        </li>
        <li>
          <t>Dropped definitions for HashML-DSA, as split variants of ML-DSA are being actively discussed in other IETF groups.</t>
        </li>
        <li>
          <t>Changed "Base algorithm" heading in definition tables to "Verification algorithm".</t>
        </li>
        <li>
          <t>Remodeled COSE_Key_Ref as COSE_Sign_Args.
          </t>
          <ul spacing="normal">
            <li>
              <t>Dropped definitions of reference types for COSE Key Types registry.</t>
            </li>
          </ul>
        </li>
      </ul>
      <t>-01</t>
      <ul spacing="normal">
        <li>
          <t>Added IANA registration requests for algorithms defined.</t>
        </li>
        <li>
          <t>Updated references and other editorial tweaks.</t>
        </li>
      </ul>
      <t>-00</t>
      <ul spacing="normal">
        <li>
          <t>Initial individual draft</t>
        </li>
      </ul>
    </section>
  </back>
  <!-- ##markdown-source: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-->

</rfc>
