]> Post-Quantum Cryptography in OpenPGP BSI
Germany kousidis.ietf@gmail.com
MTG AG
Germany johannes.roth@mtg.de
MTG AG
Germany falko.strenzke@mtg.de
Proton AG
Switzerland aron@wussler.it
sec Network Working Group Internet-Draft 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. About This Document Status information for this document may be found at . Discussion of this document takes place on the WG Working Group mailing list (), which is archived at . Subscribe at . Source for this draft and an issue tracker can be found at .
Introduction 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. 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 as the result of the NIST Post-Quantum Cryptography Standardization process initiated in 2016 . Namely, these are ML-KEM as a Key Encapsulation Mechanism (KEM), a KEM being a modern building block for public-key encryption, and ML-DSA as well as SLH-DSA as signature schemes. 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. 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.
Conventions used in this Document 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 when, and only when, they appear in all capitals, as shown here.
Terminology for Multi-Algorithm Schemes The terminology in this document is oriented towards the definitions in . 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.
Post-Quantum Cryptography 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.
ML-KEM ML-KEM 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.
ML-DSA ML-DSA 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.
SLH-DSA SLH-DSA 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. In deployments the performance characteristics of SLH-DSA should be taken into account. We refer to for a discussion of the performance characteristics of this scheme.
Elliptic Curve Cryptography The ECDH encryption is defined here as a KEM via X25519 and X448 which are defined in . EdDSA as defined in is used as the elliptic curve-based digital signature scheme.
Standalone and Multi-Algorithm Schemes This section provides a categorization of the new algorithms and their combinations.
Standalone and Composite Multi-Algorithm Schemes This specification introduces new cryptographic schemes, which can be categorized as follows:
  • PQ/T multi-algorithm public-key encryption, namely a composite combination of ML-KEM with ECDH,
  • PQ/T multi-algorithm digital signature, namely composite combinations of ML-DSA with EdDSA,
  • PQ digital signature, namely SLH-DSA as a standalone cryptographic algorithm.
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.
Non-Composite Algorithm Combinations As the OpenPGP protocol 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. specifies how implementations should handle the verification of such combinations of signatures. 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.
Supported Public Key Algorithms 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, that is, they are not parametrized.
Algorithm Specifications For signatures, the following (composite) signature schemes are specified: Signature algorithm specifications
ID Algorithm Requirement Definition
30 ML-DSA-65+Ed25519 MUST
31 ML-DSA-87+Ed448 SHOULD
32 SLH-DSA-SHAKE-128s MAY
33 SLH-DSA-SHAKE-128f MAY
34 SLH-DSA-SHAKE-256s MAY
For encryption, the following composite KEM schemes are specified: KEM algorithm specifications
ID Algorithm Requirement Definition
35 ML-KEM-768+X25519 MUST
36 ML-KEM-1024+X448 SHOULD
The specified algorithm IDs offer two security levels for each scheme, for a tradeoff between security and performance. SLH-DSA is also offered in a "fast" and a "small" variant to allow for further tradeoffs. For SLH-DSA-SHAKE-256, only the "small" variant is offered to contain signature size. See also for further considerations about parameter choices.
Algorithm Combinations
Composite KEMs 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, that is, 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. As explained in , 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.
Composite Signatures 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.
Multiple Signatures The OpenPGP message format allows multiple signatures of a message, that is, the attachment of multiple signature packets. 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 , since a legacy implementation without PQ(/T) support can fall back on the traditional signature. Newer implementations with PQ(/T) support MAY ignore the traditional signature(s) during validation. Implementations SHOULD consider the message correctly signed if at least one of the non-ignored signatures validates successfully. This is an interpretation of .
ECC Requirements 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. Furthermore, when performing the explicitly listed operations in or it is REQUIRED to follow the specification and security advisory mandated from the respective elliptic curve specification.
Key Version Binding 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.
Composite KEM Schemes
Building Blocks
ECDH KEM In this section we define the encryption, decryption, and data formats for the ECDH component of the composite algorithms. describes the ECDH KEM parameters and artifact lengths. The artifacts in follow the encodings described in . Montgomery curve parameters and artifact lengths
  X25519 X448
Algorithm ID reference 35 36
ECDH KEM X25519-KEM () X448-KEM ()
ECDH public key 32 octets 56 octets
ECDH secret key 32 octets 56 octets
ECDH ephemeral 32 octets 56 octets
ECDH key share 32 octets 56 octets
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: and To instantiate ECDH-KEM, one must select a parameter set from .
X25519-KEM The encapsulation and decapsulation operations of X25519-KEM are described using the function X25519() and encodings defined in . The ecdhSecretKey is denoted as r, the ecdhPublicKey as R, they are subject to the equation R = X25519(r, U(P)). Here, U(P) denotes the u-coordinate of the base point of Curve25519. The operation X25519-KEM.Encaps() is defined as follows:
  1. Generate an ephemeral key pair {v, V} via V = X25519(v,U(P)) where v is a randomly generated octet string with a length of 32 octets
  2. Compute the shared coordinate X = X25519(v, R) where R is the recipient's public key ecdhPublicKey
  3. Set the output ecdhCipherText to V
  4. Set the output ecdhKeyShare to X
The operation X25519-KEM.Decaps() is defined as follows:
  1. Compute the shared coordinate X = X25519(r, V), where r is the ecdhSecretKey and V is the ecdhCipherText
  2. Set the output ecdhKeyShare to X
X448-KEM The encapsulation and decapsulation operations of X448-KEM are described using the function X448() and encodings defined in . The ecdhSecretKey is denoted as r, the ecdhPublicKey as R, they are subject to the equation R = X25519(r, U(P)). Here, U(P) denotes the u-coordinate of the base point of Curve448. The operation X448-KEM.Encaps() is defined as follows:
  1. Generate an ephemeral key pair {v, V} via V = X448(v,U(P)) where v is a randomly generated octet string with a length of 56 octets
  2. Compute the shared coordinate X = X448(v, R) where R is the recipient's public key ecdhPublicKey
  3. Set the output ecdhCipherText to V
  4. Set the output ecdhKeyShare to X
The operation X448-KEM.Decaps() is defined as follows:
  1. Compute the shared coordinate X = X448(r, V), where r is the ecdhSecretKey and V is the ecdhCipherText
  2. Set the output ecdhKeyShare to X
ML-KEM ML-KEM features the following operations: and The above are the operations ML-KEM.Encaps and ML-KEM.Decaps defined in . Note that mlkemPublicKey is the encapsulation and mlkemSecretKey is the decapsulation key. ML-KEM has the parametrization with the corresponding artifact lengths in octets as given in . All artifacts are encoded as defined in . ML-KEM parameters and artifact lengths
  ML-KEM-768 ML-KEM-1024
Algorithm ID reference 35 36
Public key 1184 octets 1568 octets
Secret key 64 octets 64 octets
Ciphertext 1088 octets 1568 octets
Key share 32 octets 32 octets
To instantiate ML-KEM, one must select a parameter set from the column "ML-KEM" of .
Composite Encryption Schemes with ML-KEM specifies the following ML-KEM + ECDH composite public-key encryption schemes: ML-KEM + ECDH composite schemes
Algorithm ID reference ML-KEM ECDH-KEM
35 ML-KEM-768 X25519-KEM
36 ML-KEM-1024 X448-KEM
The ML-KEM + ECDH composite public-key encryption schemes are built according to the following principal design:
  • The ML-KEM encapsulation algorithm is invoked to create an ML-KEM ciphertext together with an ML-KEM symmetric key share.
  • 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.
  • 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, the ECDH ciphertext, the ECDH public key, and the protocol binding information.
  • The session key for content encryption is then wrapped as described in using AES-256 as algorithm and the KEK as key.
  • The PKESK packet's algorithm-specific parts are made up of the ML-KEM ciphertext, the ECDH ciphertext, and the wrapped session key.
Key Combiner For the composite KEM schemes defined in the following procedure MUST be used to compute the KEK that wraps a session key. The construction is a key derivation function compliant to Section 4 of , based on SHA3-256. It is given by the following algorithm, which computes the key encryption key KEK that is used to wrap (that is, encrypt) the session key. The value domSep is a constant set to the UTF-8 encoding of the string "OpenPGPCompositeKDFv1", that is: Here len(domSep) is the single octet with the value equal to the octet-length of domSep, that is, decimal 21.
Key Generation Procedure The implementation MUST generate the ML-KEM and the ECDH component keys independently. ML-KEM key generation follows the specification in , and the artifacts are encoded as fixed-length octet strings whose sizes are listed in . ECDH key generation follows the specification in , and the artifacts are encoded as fixed-length octet strings whose sizes are listed in .
Encryption Procedure The procedure to perform public-key encryption with an ML-KEM + ECDH composite scheme is as follows:
  1. Take the recipient's authenticated public-key packet pkComposite and sessionKey as input
  2. Parse the algorithm ID from pkComposite and set it as algId
  3. Extract the ecdhPublicKey and mlkemPublicKey component from the algorithm specific data encoded in pkComposite with the format specified in .
  4. Instantiate the ECDH-KEM and the ML-KEM depending on the algorithm ID according to
  5. Compute (ecdhCipherText, ecdhKeyShare) = ECDH-KEM.Encaps(ecdhPublicKey)
  6. Compute (mlkemCipherText, mlkemKeyShare) = ML-KEM.Encaps(mlkemPublicKey)
  7. Compute KEK = multiKeyCombine(mlkemKeyShare, ecdhKeyShare, ecdhCipherText, ecdhPublicKey, algId) as defined in
  8. Compute C = AESKeyWrap(KEK, sessionKey) with AES-256 as per that includes a 64 bit integrity check
  9. Output the algorithm specific part of the PKESK as ecdhCipherText || mlkemCipherText || len(C, symAlgId) (|| symAlgId) || C, where both symAlgId and len(C, symAlgId) are single octet fields, symAlgId denotes the symmetric algorithm ID used and is present only for a v3 PKESK, and len(C, symAlgId) denotes the combined octet length of the fields specified as the arguments.
Decryption Procedure The procedure to perform public-key decryption with an ML-KEM + ECDH composite scheme is as follows:
  1. Take the matching PKESK and own secret key packet as input
  2. From the PKESK extract the algorithm ID as algId and the wrapped session key as encryptedKey
  3. Check that the own and the extracted algorithm ID match
  4. Parse the ecdhSecretKey and mlkemSecretKey from the algorithm specific data of the own secret key encoded in the format specified in
  5. Instantiate the ECDH-KEM and the ML-KEM depending on the algorithm ID according to
  6. Parse ecdhCipherText, mlkemCipherText, and C from encryptedKey encoded as ecdhCipherText || mlkemCipherText || len(C,symAlgId) (|| symAlgId) || C as specified in , where symAlgId is present only in the case of a v3 PKESK.
  7. Compute (ecdhKeyShare) = ECDH-KEM.Decaps(ecdhSecretKey, ecdhCipherText)
  8. Compute (mlkemKeyShare) = ML-KEM.Decaps(mlkemCipherText, mlkemSecretKey)
  9. Compute KEK = multiKeyCombine(mlkemKeyShare, ecdhKeyShare, ecdhCipherText, ecdhPublicKey, algId) as defined in
  10. Compute sessionKey = AESKeyUnwrap(KEK, C) with AES-256 as per , aborting if the 64 bit integrity check fails
  11. Output sessionKey
Packet Specifications
Public-Key Encrypted Session Key Packets (Packet Type ID 1) The algorithm-specific fields consist of the output of the encryption procedure described in :
  • A fixed-length octet string representing an ECDH ephemeral public key in the format associated with the curve as specified in .
  • A fixed-length octet string of the ML-KEM ciphertext, whose length depends on the algorithm ID as specified in .
  • A one-octet size of the following fields.
  • Only in the case of a v3 PKESK packet: a one-octet symmetric algorithm identifier.
  • The wrapped session key represented as an octet string.
Note that like in the case of the algorithms X25519 and X448 specified in , 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 mlkemCipherText 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). 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. Implementations MUST NOT use the obsolete Symmetrically Encrypted Data packet (Packet Type ID 9) to encrypt data protected with the algorithms described in this document.
Key Material Packets The composite ML-KEM-768 + X25519 (algorithm ID 35) MUST be used only with v4 or v6 keys, as defined in , or newer versions defined by updates of that document. The composite ML-KEM-1024 + X448 (algorithm ID 36) MUST be used only with v6 keys, as defined in , or newer versions defined by updates of that document.
Public Key Packets (Packet Type IDs 6 and 14) The algorithm-specific public key is this series of values:
  • A fixed-length octet string representing an ECC public key, in the point format associated with the curve specified in .
  • A fixed-length octet string containing the ML-KEM public key, whose length depends on the algorithm ID as specified in .
Secret Key Packets (Packet Type IDs 5 and 7) The algorithm-specific secret key is these two values:
  • A fixed-length octet string of the encoded ECDH secret key, whose encoding and length depend on the algorithm ID as specified in .
  • A fixed-length octet string containing the ML-KEM secret key in seed format, whose length is 64 octets (compare ). The seed format is defined in accordance with Section 3.3 of . Namely, the secret key is given by the concatenation of the values of d and z, generated in steps 1 and 2 of ML-KEM.KeyGen , 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 ML-KEM.KeyGen_internal has to be invoked with the parsed values of d and z as input.
Composite Signature Schemes
Building Blocks
EdDSA-Based Signatures Throughout this specification EdDSA refers to the PureEdDSA variant defined in . The context is always empty. To sign and verify with EdDSA the following operations are defined: and The public and secret key, as well as the signature MUST be encoded according to as fixed-length octet strings. The following table describes the EdDSA parameters and artifact lengths: EdDSA parameters and artifact lengths
  Ed25519 Ed448
Algorithm ID reference 30 31
Public key 32 octets 57 octets
Secret key 32 octets 57 octets
Signature 64 octets 114 octets
ML-DSA Signatures Throughout this specification ML-DSA refers to the default pure and hedged version of ML-DSA defined in . ML-DSA signature generation is performed using the default hedged version of the ML-DSA.Sign algorithm, as specified in , with an empty context string ctx. That is, to sign with ML-DSA the following operation is defined: ML-DSA signature verification is performed using the ML-DSA.Verify algorithm, as specified in , with an empty context string ctx. That is, to verify with ML-DSA the following operation is defined: ML-DSA has the parametrization with the corresponding artifact lengths in octets as given in . All artifacts are encoded as defined in . ML-DSA parameters and artifact lengths
  ML-DSA-65 ML-DSA-87
Algorithm ID reference 30 31
Public key 1952 octets 2592 octets
Secret key 32 octets 32 octets
Signature 3309 octets 4627 octets
Composite Signature Schemes with ML-DSA
Key Generation Procedure The implementation MUST generate the ML-DSA and the EdDSA component keys independently. ML-DSA key generation follows the specification in , and the artifacts are encoded as fixed-length octet strings whose sizes are listed in . EdDSA key generation follows the specification in , and the artifacts are encoded as fixed-length octet strings whose sizes are listed in .
Signature Generation To sign a message M with ML-DSA + EdDSA the following sequence of operations has to be performed:
  1. Generate dataDigest according to .
  2. Create the EdDSA signature over dataDigest with EdDSA.Sign() from
  3. Create the ML-DSA signature over dataDigest with ML-DSA.Sign() from
  4. Encode the EdDSA and ML-DSA signatures according to the packet structure given in .
Signature Verification To verify an ML-DSA + EdDSA signature the following sequence of operations has to be performed:
  1. Verify the EdDSA signature with EdDSA.Verify() from
  2. Verify the ML-DSA signature with ML-DSA.Verify() from
As specified in an implementation MUST validate both signatures, that is, EdDSA and ML-DSA, successfully to state that a composite ML-DSA + EdDSA signature is valid.
Packet Specifications
Signature Packet (Packet Type ID 2) The composite ML-DSA + EdDSA schemes MUST be used only with v6 signatures, as defined in , or newer versions defined by updates of that document. The algorithm-specific v6 signature parameters for ML-DSA + EdDSA signatures consist of:
  • A fixed-length octet string representing the EdDSA signature, whose length depends on the algorithm ID as specified in .
  • A fixed-length octet string of the ML-DSA signature value, whose length depends on the algorithm ID as specified in .
A composite ML-DSA + EdDSA signature MUST use a hash algorithm with a digest size of at least 256 bits for the computation of the message digest. A verifying implementation MUST reject any composite ML-DSA + EdDSA signature that uses a hash algorithm with a smaller digest size.
Key Material Packets The composite ML-DSA + EdDSA schemes MUST be used only with v6 keys, as defined in , or newer versions defined by updates of that document.
Public Key Packets (Packet Type IDs 6 and 14) The algorithm-specific public key for ML-DSA + EdDSA keys is this series of values:
  • A fixed-length octet string representing the EdDSA public key, whose length depends on the algorithm ID as specified in .
  • A fixed-length octet string containing the ML-DSA public key, whose length depends on the algorithm ID as specified in .
Secret Key Packets (Packet Type IDs 5 and 7) The algorithm-specific secret key for ML-DSA + EdDSA keys is this series of values:
  • A fixed-length octet string representing the EdDSA secret key, whose length depends on the algorithm ID as specified in .
  • A fixed-length octet string containing the ML-DSA secret key in seed format, whose length is 32 octets (compare ). The seed format is defined in accordance with Section 3.6.3 of . Namely, the secret key is given by the value xi generated in step 1 of ML-DSA.KeyGen . Upon parsing the secret key format, or before using the secret key, for the expansion of the key, the function ML-DSA.KeyGen_internal has to be invoked with the parsed value of xi as input.
SLH-DSA Throughout this specification SLH-DSA refers to the default pure and hedged version of SLH-DSA defined in .
The SLH-DSA Algorithms 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". SLH-DSA code points and the corresponding artifact lengths.
  SLH-DSA-SHAKE-128s SLH-DSA-SHAKE-128f SLH-DSA-SHAKE-256s
Algorithm ID reference 32 33 34
Public key 32 octets 32 octets 64 octets
Secret key 64 octets 64 octets 128 octets
Signature 7856 octets 17088 octets 29792 octets
Key Generation SLH-DSA key generation is performed via the algorithm slh_keygen as specified in , and the artifacts are encoded as fixed-length octet strings whose sizes are listed in .
Signature Generation SLH-DSA signature generation is performed using the default hedged version of the slh_sign algorithm, as specified in , with an empty context string ctx.
Signature Verification SLH-DSA signature verification is performed using the slh_verify algorithm, as specified in , with an empty context string ctx.
Packet Specifications
Signature Packet (Packet Type ID 2) The SLH-DSA algorithms MUST be used only with v6 signatures, as defined in . The algorithm-specific part of a signature packet for an SLH-DSA code point consists of:
  • A fixed-length octet string of the SLH-DSA signature value, whose length depends on the algorithm ID in the format specified in .
An SLH-DSA signature MUST use a hash algorithm with a digest size of at least 256 bits for the computation of the message digest. A verifying implementation MUST reject any SLH-DSA signature that uses a hash algorithm with a smaller digest size.
Key Material Packets The SLH-DSA code points MUST be used only with v6 keys, as defined in , or newer versions defined by updates of that document.
Public Key Packets (Packet Type IDs 6 and 14) The algorithm-specific part of the public key consists of:
  • A fixed-length octet string containing the SLH-DSA public key, whose length depends on the algorithm ID as specified in .
Secret Key Packets (Packet Type IDs 5 and 7) The algorithm-specific part of the secret key consists of:
  • A fixed-length octet string containing the SLH-DSA secret key, whose length depends on the algorithm ID as specified in .
Notes on Algorithms
Symmetric Algorithms for SEIPD Packets Implementations MUST implement AES-256. An implementation SHOULD use AES-256 in the case of a v1 SEIPD packet, or AES-256 with any available AEAD mode in the case of a v2 SEIPD packet, if all recipient certificates indicate support for it (explicitly or implicitly). A certificate that contains a PQ(/T) key SHOULD include AES-256 in the "Preferred Symmetric Ciphers for v1 SEIPD" subpacket and SHOULD include the pair AES-256 with OCB in the "Preferred AEAD Ciphersuites" subpacket. If AES-256 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 AES-256 is mandatory to implement. If AES-128 is also implicitly added to the list, it is added after AES-256. If the pair AES-256 with OCB 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 AES-256 and OCB are mandatory to implement. If the pair AES-128 with OCB is also implicitly added to the list, it is added after the pair AES-256 with OCB.
Hash Algorithms for Key Binding Signatures Subkey binding signatures (Signature Type 0x18) over algorithms described in this document MUST NOT be made with MD5, SHA-1, or RIPEMD-160. A receiving implementation MUST treat such a signature as invalid.
Migration Considerations The post-quantum KEM algorithms defined in and the signature algorithms defined in are a set of new public key algorithms that extend the algorithm selection of . 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.
Encrypting to Traditional and PQ(/T) Keys As noted in , 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.
Signing with Traditional and PQ(/T) Keys An implementation may sign with both a PQ(/T) and a traditional key using multiple signatures over the same data as described in . Signing only with PQ(/T) key material is not backwards compatible.
Generating PQ(/T) Keys 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.
Security Considerations
Security Aspects of Composite Signatures 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 . As a consequence, a component signature taken out of the context of a specific composite algorithm is not a valid OpenPGP signature for any message. Furthermore, it is also not possible to craft a new signature for a message that was signed twice with a composite algorithm by interchanging (that is, remixing) the component signatures, which would classify as a weak existential forgery. This is due to the fact that each v6 signature also includes a random salt at the start of the hashed meta data, as also specified in the aforementioned reference.
Key Combiner For the key combination in this specification limits itself to the use of SHA3-256 in a construction following . A central security notion of a key combiner is IND-CCA2-security. It is argued in that the key combiner specified in 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 . Note that the inclusion of the ECC public key in the key combiner also accounts for multi-target attacks against X25519 and X448.
Domain Separation and Context Binding The domSep information defined in 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 domSep || len(domSep) is guaranteed to result in a suffix-free set of octet strings even if further values should be defined for domSep. 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. The algorithm ID, passed as the algID parameter to multiKeyCombine, 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.
ML-DSA and SLH-DSA Hedged Variants 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 and .
Minimum Digest Size for PQ(/T) Signatures This specification requires that all PQ(/T) signatures defined in this document are made on message digests computed with a hash algorithm with at least 256 bits of digest size. Since all signature algorithms defined in this document require version 6 (or newer) signature packets, which currently include a leading random salt value in the hashed data, the required property is not collision but (2nd) preimage resistance. Therefore, a hash algorithm with a digest size of at least 256 bits is sufficient to match the targeted security levels of all PQ(/T) algorithms defined in this document.
Symmetric Algorithms for SEIPD Packets This specification mandates support for AES-256 for two reasons. First, AES-KeyWrap with AES-256 is already part of the composite KEM construction. Second, some of the PQ(/T) algorithms target the security level of AES-256. For the same reasons, this specification further recommends the use of AES-256 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 AES-256 for encryption. Implementations may also make more nuanced decisions.
Key Generation 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.
Additional Considerations
Performance Considerations for SLH-DSA This specification introduces both ML-DSA + EdDSA as well as SLH-DSA as PQ(/T) signature schemes. 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 ECC-based or even RSA signature schemes. 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. 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 one hundred to more than two thousand times that of ML-DSA-87. These numbers 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. 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. 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 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).
IANA Considerations IANA is requested to add the algorithm IDs defined in to the existing registry OpenPGP Public Key Algorithms. IANA updates for registry 'OpenPGP Public Key Algorithms'
ID Algorithm Public Key Format Secret Key Format Signature Format PKESK Format Reference
30 ML-DSA-65+Ed25519 32 octets Ed25519 public key (), 1952 octets ML-DSA-65 public key () 32 octets Ed25519 secret key (), 32 octets ML-DSA-65 secret () 64 octets Ed25519 signature (), 3309 octets ML-DSA-65 signature () N/A
31 ML-DSA-87+Ed448 57 octets Ed448 public key (), 2592 octets ML-DSA-87 public key () 57 octets Ed448 secret key (), 32 octets ML-DSA-87 secret () 114 octets Ed448 signature (), 4627 octets ML-DSA-87 signature () N/A
32 SLH-DSA-SHAKE-128s 32 octets public key () 64 octets secret key () 7856 octets signature () N/A
33 SLH-DSA-SHAKE-128f 32 octets public key () 64 octets secret key () 17088 octets signature () N/A
34 SLH-DSA-SHAKE-256s 64 octets public key () 128 octets secret key () 29792 octets signature () N/A
35 ML-KEM-768+X25519 32 octets X25519 public key (), 1184 octets ML-KEM-768 public key () 32 octets X25519 secret key (), 64 octets ML-KEM-768 secret-key () N/A 32 octets X25519 ciphertext, 1088 octets ML-KEM-768 ciphertext, 1 octet remaining length, [1 octet algorithm ID in case of v3 PKESK,] n octets wrapped session key ()
36 ML-KEM-1024+X448 56 octets X448 public key (), 1568 octets ML-KEM-1024 public key () 56 octets X448 secret key (), 64 octets ML-KEM-1024 secret-key () N/A 56 octets X448 ciphertext, 1568 octets ML-KEM-1024 ciphertext, 1 octet remaining length, [1 octet algorithm ID in case of v3 PKESK,] n octets wrapped session key ()
IANA is asked to add the following note to this registry:
  • The field specifications enclosed in square brackets for PKESK Format represent fields that may or may not be present, depending on the PKESK version.
Changelog
draft-wussler-openpgp-pqc-01
  • Shifted the algorithm IDs by 4 to align with the crypto-refresh.
  • Renamed v5 packets into v6 to align with the crypto-refresh.
  • Defined IND-CCA2 security for KDF and key combination.
  • Added explicit key generation procedures.
  • Changed the key combination KMAC salt.
  • Mandated Parameter ID check in SPHINCS+ signature verification.
  • Fixed key share size for Kyber-768.
  • Added "Preliminaries" section.
  • Fixed IANA considerations.
draft-wussler-openpgp-pqc-02
  • Added the ephemeral and public key in the ECC key derivation function.
  • Removed public key hash from key combiner.
  • 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.
draft-wussler-openpgp-pqc-03
  • Replaced round 3 submission with NIST PQC Draft Standards FIPS 203, 204, 205.
  • Added consideration about security level for hashes.
draft-wussler-openpgp-pqc-04
  • Added Johannes Roth as author
draft-ietf-openpgp-pqc-00
  • Renamed draft
draft-ietf-openpgp-pqc-01
  • Mandated AES-256 as mandatory to implement.
  • Added AES-256 / AES-128 with OCB implicitly to v1/v2 SEIPD preferences of "PQ(/T) certificates".
  • Added a recommendation to use AES-256 when possible.
  • Swapped the optional v3 PKESK algorithm identifier with length octet in order to align with X25519 and X448.
  • Fixed ML-DSA secret key size.
  • Added test vectors.
  • Correction and completion of IANA instructions.
draft-ietf-openpgp-pqc-02
  • Removed git rebase artifact.
draft-ietf-openpgp-pqc-03
  • Updated SLH-DSA by removing parametrization and restricting to three SLH-DSA-SHAKE algorithm code points.
  • Removed NIST and Brainpool curve hybrids, dropped ECDSA from the current specification.
  • Updated KDF as proposed at IETF 119.
  • Removed whitespaces from composite algorithm names.
  • Explicitly disallowed SED (Packet Type ID 9) and weak hashes when using PQ algorithms.
draft-ietf-openpgp-pqc-04
  • Fixed ML-DSA signature size.
  • Fixed parameters order in PKESK description.
  • Fixed missing inputs into KEM combination description.
  • Improved parallel encryption guidance.
  • Improved SED deprecation description.
  • Added ML-DSA test vectors.
draft-ietf-openpgp-pqc-05
  • Reworked KEM combiner for the purpose of NIST-compliance.
  • Mandated v6 keys for ML-KEM + ECDH algorithms.
  • Defined secret key seed format for ML-KEM and ML-DSA.
  • Added key generation security considerations.
  • Replaced initial public drafts with FIPS 203, 204, 205.
draft-ietf-openpgp-pqc-06
  • Fixed and improved test vectors.
draft-ietf-openpgp-pqc-07
  • Assigned code points 30 - 34 for ML-DSA + EdDSA and SLH-DSA algorithms.
  • Aligned KEM combiner with LAMPS.
  • Dropped CCA-conversion of X25519/X448 and adjusted security considerations.
  • Switched to hedged variant also for SLH-DSA.
draft-ietf-openpgp-pqc-08
  • Assigned code points 35 and 36 for ML-KEM + ECDH algorithms.
  • Removed hash binding for ML-DSA + EdDSA and SLH-DSA algorithms.
  • Allowed usage of ML-KEM-768 + X25519 with v4 keys.
  • Aligned KEM combiner to X-Wing and switched to suffix-free encoding of the domain separator.
draft-ietf-openpgp-pqc-09
  • Removed subkey semantics related guidance.
  • Updated test vectors.
  • Added non-normative algorithm explanation.
draft-ietf-openpgp-pqc-10
  • Specified minimum requirements for signature message digest sizes.
  • Added security considerations for signature message digest sizes.
draft-ietf-openpgp-pqc-11
  • Editorial changes and fixes of inconsistencies.
Contributors Stephan Ehlen (BSI)
Carl-Daniel Hailfinger (BSI)
Andreas Huelsing (TU Eindhoven)
Acknowledgments Thanks to Daniel Huigens and Evangelos Karatsiolis for the early review and feedback on this document.
References Normative References Elliptic Curves for Security 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. Edwards-Curve Digital Signature Algorithm (EdDSA) 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. Advanced Encryption Standard (AES) Key Wrap Algorithm OpenPGP 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. 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. This document obsoletes RFCs 4880 ("OpenPGP Message Format"), 5581 ("The Camellia Cipher in OpenPGP"), and 6637 ("Elliptic Curve Cryptography (ECC) in OpenPGP"). Module-Lattice-Based Key-Encapsulation Mechanism Standard National Institute of Standards and Technology Module-Lattice-Based Digital Signature Standard National Institute of Standards and Technology Stateless Hash-Based Digital Signature Standard National Institute of Standards and Technology Key words for use in RFCs to Indicate Requirement Levels 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. Ambiguity of Uppercase vs Lowercase in RFC 2119 Key Words 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. Informative References Terminology for Post-Quantum Traditional Hybrid Schemes UK National Cyber Security Centre UK National Cyber Security Centre Naval Postgraduate School 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. Post-Quantum Cryptography Standardization Status Report on the Third Round of the NIST Post-Quantum Cryptography Standardization Process Recommendation for Key-Derivation Methods in Key-Establishment Schemes X-Wing The Hybrid KEM You've Been Looking For Analysing the HPKE Standard
Test Vectors To help implementing this specification a set of non-normative examples follow here.
Sample v6 Ed25519 with ML-KEM-768+X25519 Data
Transferable Secret Key Here is a Transferable Secret Key consisting of:
  • A v6 Ed25519 Private-Key packet
  • A v6 direct key self-signature
  • A User ID packet
  • A v6 positive certification self-signature
  • A v6 ML-KEM-768+X25519 Private-Subkey packet
  • A v6 subkey binding signature
The primary key has the fingerprint c789e17d9dbdca7b3c833a3c063feb0353f80ad911fe27868fb0645df803e947. The subkey has the fingerprint dafe0eebb2675ecfcdc20a23fe89ca5d12e83f527dfa354b6dcf662131a48b9d.
Transferable Public Key Here is the corresponding Transferable Public Key for consisting of:
  • A v6 Ed25519 Public-Key packet
  • A v6 direct key self-signature
  • A User ID packet
  • A v6 positive certification self-signature
  • A v6 ML-KEM-768+X25519 Public-Subkey packet
  • A v6 subkey binding signature
Encrypted and Signed Message Here is a signed message "Testing\n" encrypted to the certificate and signed by the secret key :
  • A v6 PKESK
  • A v2 SEIPD
The hex-encoded mlkemKeyShare input to multiKeyCombine is b0e45408d8c713f3941cd27276f879e557df013e05bcf43e37d4c60266a4b797. The hex-encoded ecdhKeyShare input to multiKeyCombine is 9d994741e0db5eacee44cb028c2ec48b1346feae2576aaac383bbcd64138c932. The hex-encoded output of multiKeyCombine is 5bf078bf7977109db6dead92d3578b62d0ab0487ef84e8e0af08f4b4b229e590. The hex-encoded session key is 94a3b8c9784463bb96b682cddf549adb23579b75bcb646f989d7cfe3e6e14435.
Sample v4 Ed25519 with ML-KEM-768+X25519 Data
Transferable Secret Key Here is a Transferable Secret Key consisting of:
  • A v4 Ed25519 Private-Key packet
  • A User ID packet
  • A v4 positive certification self-signature
  • A v4 ML-KEM-768+X25519 Private-Subkey packet
  • A v4 subkey binding signature
The primary key has the fingerprint 342e5db2de345215cb2c944f7102ffed3b9cf12d. The subkey has the fingerprint e51dbfea51936988b5428fffa4f95f985ed61a51.
Transferable Public Key Here is the corresponding Transferable Public Key for consisting of:
  • A v4 Ed25519 Public-Key packet
  • A User ID packet
  • A v4 positive certification self-signature
  • A v4 ML-KEM-768+X25519 Public-Subkey packet
  • A v4 subkey binding signature
Encrypted and Signed SEIPD v1 Message Here is a signed message "Testing\n" encrypted to the certificate and signed by the secret key :
  • A v3 PKESK
  • A v1 SEIPD
The hex-encoded mlkemKeyShare input to multiKeyCombine is 16f2aea8ec1ca277c04cc7b87681d7d38511a38f554775a8fc4de41aa76eb586. The hex-encoded ecdhKeyShare input to multiKeyCombine is 2fc0c8fcace9636c86d1ee1715a302819ad48c549579a462a33eed36627c532e. The hex-encoded output of multiKeyCombine is c1591d7511f9f0213bfd57cf316e5ec0d40c4ea826fa989ab606aa3b8a1a2c1f. The hex-encoded session key is b4dc7197e1519822ca689da484643edf272934d98ae1974b5d88317a7a6a3c4f.
Encrypted and Signed SEIPD v2 Message Here is a signed message "Testing\n" encrypted to the certificate and signed by the secret key :
  • A v6 PKESK
  • A v2 SEIPD
The hex-encoded mlkemKeyShare input to multiKeyCombine is 16a22adbeced91ada60b5561611748edd2fedc51e0770f86d7394870062e7322. The hex-encoded ecdhKeyShare input to multiKeyCombine is 5ac67eab192f25ac99d87543e6fcd3a4769cb02c9d1afdc79354c2baa2289e29. The hex-encoded output of multiKeyCombine is 5c5652a690b55d1e9545fbd722f838cd8ff4d3657af5a9026d02f3185ca74993. The hex-encoded session key is 160867d96032b640208c1c92174d0270bb89189d72320711acd221bbea2a26b6.
Sample ML-DSA-65+Ed25519 with ML-KEM-768+X25519 Data
Transferable Secret Key Here is a Transferable Secret Key consisting of:
  • A v6 ML-DSA-65+Ed25519 Private-Key packet
  • A v6 direct key self-signature
  • A User ID packet
  • A v6 positive certification self-signature
  • A v6 ML-KEM-768+X25519 Private-Subkey packet
  • A v6 subkey binding signature
The primary key has the fingerprint a3e2e14b6a493ff930fb27321f125e9a6880338be9fb7da3ae065ea65793242f. The subkey has the fingerprint 7dae8fbce23022607167af72a002e774e0ca379a2d7ae072384e1e8fde3265e4.
Transferable Public Key Here is the corresponding Transferable Public Key for consisting of:
  • A v6 ML-DSA-65+Ed25519 Public-Key packet
  • A v6 direct key self-signature
  • A User ID packet
  • A v6 positive certification self-signature
  • A v6 ML-KEM-768+X25519 Public-Subkey packet
  • A v6 subkey binding signature
Encrypted and Signed Message Here is a signed message "Testing\n" encrypted to the certificate and signed by the secret key :
  • A v6 PKESK
  • A v2 SEIPD
The hex-encoded mlkemKeyShare input to multiKeyCombine is 0987fe72ad5ea58e73344f9a2a543f4131d9fdb7cf07474f501430a20f705b4d. The hex-encoded ecdhKeyShare input to multiKeyCombine is 88f3e9a8de1917127b4b758f6e83bd4ce00faaae01bd8b6e412a43a710b26012. The hex-encoded output of multiKeyCombine is a4904982f7caa9c9de690afd772d8bfe027a1ad6a5bbda00db68963fe303ae8e. The hex-encoded session key is adee68618b302d4bfd7ae3d432bc63a1c1ad7f5fd6e7fd7bdedbb0d0b14a5c9a.
Detached Signature Here is a detached signature for the message "Testing\n" made by the secret key :
  • A v6 signature packet
Sample ML-DSA-87+Ed448 with ML-KEM-1024+X448 Data
Transferable Secret Key Here is a Transferable Secret Key consisting of:
  • A v6 ML-DSA-87+Ed448 Private-Key packet
  • A v6 direct key self-signature
  • A User ID packet
  • A v6 positive certification self-signature
  • A v6 ML-KEM-1024+X448 Private-Subkey packet
  • A v6 subkey binding signature
The primary key has the fingerprint 0d7a8be1410cd68eed4845ab487b4b4cfaecd8ebad1a1166a84230499200ee20. The subkey has the fingerprint 65090e147a8116ab7f62ab4ec7aae59d9e6532feb2af230c73cdc869fbc60c8f.
Transferable Public Key Here is the corresponding Transferable Public Key for consisting of:
  • A v6 ML-DSA-87+Ed448 Public-Key packet
  • A v6 direct key self-signature
  • A User ID packet
  • A v6 positive certification self-signature
  • A v6 ML-KEM-1024+X448 Public-Subkey packet
  • A v6 subkey binding signature
Encrypted and Signed Message Here is a signed message "Testing\n" encrypted to the certificate and signed by the secret key :
  • A v6 PKESK
  • A v2 SEIPD
The hex-encoded mlkemKeyShare input to multiKeyCombine is f18f161e617b8ce5968f109aadea1e7e1511d10165768d36127ba913c00637d2. The hex-encoded ecdhKeyShare input to multiKeyCombine is 732860c8114ae84a964664b1f607785d11bc7d24d5324510adad89bd52db7ee0df9982ad0d1669bdd05556330c86f2dae9e2edea42e05bc5. The hex-encoded output of multiKeyCombine is ef1e32906f67d39bc800d90cabb0033c77ca6dce8ffca3e96d9c7348e2e8c16e. The hex-encoded session key is 0588ce40b038aac353d1cf8c67a674b412985105794821013ef154f786c4d89d.
Detached Signature Here is a detached signature for the message "Testing\n" made by the secret key :
  • A v6 signature packet
Sample SLH-DSA-SHAKE-128s with ML-KEM-768+X25519 Data
Transferable Secret Key Here is a Transferable Secret Key consisting of:
  • A v6 SLH-DSA-128s Private-Key packet
  • A v6 direct key self-signature
  • A User ID packet
  • A v6 positive certification self-signature
  • A v6 ML-KEM-768+X25519 Private-Subkey packet
  • A v6 subkey binding signature
The primary key has the fingerprint eed4d13fc36c78e48276a93233339c4dd230fd5f6f5c5b82c63d5c0b5e361d92. The subkey has the fingerprint 3e8745a4bb488779e0f32480fa23f8d0bfd8c2f49d7f74e957e1c2ffc2ef4bfc.
Transferable Public Key Here is the corresponding Transferable Public Key for consisting of:
  • A v6 SLH-DSA-128s Public-Key packet
  • A v6 direct key self-signature
  • A User ID packet
  • A v6 positive certification self-signature
  • A v6 ML-KEM-768+X25519 Public-Subkey packet
  • A v6 subkey binding signature
Encrypted and Signed Message Here is a signed message "Testing\n" encrypted to the certificate and signed by the secret key :
  • A v6 PKESK
  • A v2 SEIPD
The hex-encoded mlkemKeyShare input to multiKeyCombine is 5dc60150f5f965ddc8014b6aa2ecae1831467e98fa315422f238984d6421a22e. The hex-encoded ecdhKeyShare input to multiKeyCombine is 9dbd0f9bde7fef09817146e53a0b5ce7d27e79612670968fa0025422c578ab55. The hex-encoded output of multiKeyCombine is ae8ab57801911c04c7b4c2a2f665cf8d8a8188f948c2a65e39c292d9b1d86e32. The hex-encoded session key is e87567cad8fee5738f92090feed009d8af95437fa664f94da98776d966bbbc52.
Detached Signature Here is a detached signature for the message "Testing\n" made by the secret key :
  • A v6 signature packet
Sample SLH-DSA-SHAKE-128f with ML-KEM-768+X25519 Data
Transferable Secret Key Here is a Transferable Secret Key consisting of:
  • A v6 SLH-DSA-128f Private-Key packet
  • A v6 direct key self-signature
  • A User ID packet
  • A v6 positive certification self-signature
  • A v6 ML-KEM-768+X25519 Private-Subkey packet
  • A v6 subkey binding signature
The primary key has the fingerprint d54e0307021169f7b88beb2b76e3aad0e114be1a8f982d74dba9ca51d03537f4. The subkey has the fingerprint d8875664256c382dd7f3a5ce05021088922811f5d0b1a1f8c7769944a51b7002.
Transferable Public Key Here is the corresponding Transferable Public Key for consisting of:
  • A v6 SLH-DSA-128f Public-Key packet
  • A v6 direct key self-signature
  • A User ID packet
  • A v6 positive certification self-signature
  • A v6 ML-KEM-768+X25519 Public-Subkey packet
  • A v6 subkey binding signature
Detached Signature Here is a detached signature for the message "Testing\n" made by the secret key :
  • A v6 signature packet
Sample SLH-DSA-SHAKE-256s with ML-KEM-1024+X448 Data
Transferable Secret Key Here is a Transferable Secret Key consisting of:
  • A v6 SLH-DSA-256s Private-Key packet
  • A v6 direct key self-signature
  • A User ID packet
  • A v6 positive certification self-signature
  • A v6 ML-KEM-1024+X448 Private-Subkey packet
  • A v6 subkey binding signature
The primary key has the fingerprint 72fff84863aeba67f0d1d7691173247dd427533b9d7ee76011c6f77f2ce9fa7a. The subkey has the fingerprint 570a5bbab93169876a8240da35a1ada7ba8a640aabe3ab467c797214844df15f.
Transferable Public Key Here is the corresponding Transferable Public Key for consisting of:
  • A v6 SLH-DSA-256s Public-Key packet
  • A v6 direct key self-signature
  • A User ID packet
  • A v6 positive certification self-signature
  • A v6 ML-KEM-1024+X448 Public-Subkey packet
  • A v6 subkey binding signature
Detached Signature Here is a detached signature for the message "Testing\n" made by the secret key :
  • A v6 signature packet