Internet-Draft PQC in OpenPGP May 2025
Kousidis, et al. Expires 16 November 2025 [Page]
Workgroup:
Network Working Group
Internet-Draft:
draft-ietf-openpgp-pqc-09
Published:
Intended Status:
Informational
Expires:
Authors:
S. Kousidis
BSI
J. Roth
MTG AG
F. Strenzke
MTG AG
A. Wussler
Proton AG

Post-Quantum Cryptography in OpenPGP

Abstract

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

This note is to be removed before publishing as an RFC.

Status information for this document may be found at https://datatracker.ietf.org/doc/draft-ietf-openpgp-pqc/.

Discussion of this document takes place on the WG Working Group mailing list (mailto:openpgp@ietf.org), which is archived at https://mailarchive.ietf.org/arch/browse/openpgp/. Subscribe at https://www.ietf.org/mailman/listinfo/openpgp/.

Source for this draft and an issue tracker can be found at https://github.com/openpgp-pqc/draft-openpgp-pqc.

Status of This Memo

This Internet-Draft is submitted in full conformance with the provisions of BCP 78 and BCP 79.

Internet-Drafts are working documents of the Internet Engineering Task Force (IETF). Note that other groups may also distribute working documents as Internet-Drafts. The list of current Internet-Drafts is at https://datatracker.ietf.org/drafts/current/.

Internet-Drafts are draft documents valid for a maximum of six months and may be updated, replaced, or obsoleted by other documents at any time. It is inappropriate to use Internet-Drafts as reference material or to cite them other than as "work in progress."

This Internet-Draft will expire on 16 November 2025.

Table of Contents

1. 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 [NISTIR-8413] as the result of the NIST Post-Quantum Cryptography Standardization process initiated in 2016 [NIST-PQC]. Namely, these are ML-KEM [FIPS-203] as a Key Encapsulation Mechanism (KEM), a KEM being a modern building block for public-key encryption, and ML-DSA [FIPS-204] as well as SLH-DSA [FIPS-205] 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.

1.1. Conventions used in this Document

1.1.1. Terminology for Multi-Algorithm Schemes

The terminology in this document is oriented towards the definitions in [I-D.ietf-pquip-pqt-hybrid-terminology]. Specifically, the terms "multi-algorithm", "composite" and "non-composite" are used in correspondence with the definitions therein. The abbreviation "PQ" is used for post-quantum schemes. To denote the combination of post-quantum and traditional schemes, the abbreviation "PQ/T" is used. The short form "PQ(/T)" stands for PQ or PQ/T.

1.2. 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.

1.2.1. ML-KEM

ML-KEM [FIPS-203] is based on the hardness of solving the Learning with Errors problem in module lattices (MLWE). The scheme is believed to provide security against cryptanalytic attacks by classical as well as quantum computers. This specification defines ML-KEM only in composite combination with ECDH encryption schemes in order to provide a pre-quantum security fallback.

1.2.2. ML-DSA

ML-DSA [FIPS-204] is a signature scheme that, like ML-KEM, is based on the hardness of solving the Learning With Errors problem and a variant of the Short Integer Solution problem in module lattices (MLWE and SelfTargetMSIS). Accordingly, this specification only defines ML-DSA in composite combination with EdDSA signature schemes.

1.2.3. SLH-DSA

SLH-DSA [FIPS-205] is a stateless hash-based signature scheme. Its security relies on the hardness of finding preimages for cryptographic hash functions. This feature is generally considered to be a high security guarantee. Therefore, this specification defines SLH-DSA as a standalone signature scheme.

In deployments the performance characteristics of SLH-DSA should be taken into account. We refer to Section 10.1 for a discussion of the performance characteristics of this scheme.

1.3. Elliptic Curve Cryptography

The ECDH encryption is defined here as a KEM via X25519 and X448 which are defined in [RFC7748]. EdDSA as defined in [RFC8032] is used as the elliptic curve-based digital signature scheme.

1.4. Standalone and Multi-Algorithm Schemes

This section provides a categorization of the new algorithms and their combinations.

1.4.1. 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 an ECDH KEM,

  • PQ/T multi-algorithm digital signature, namely composite combinations of ML-DSA with EdDSA signature schemes,

  • 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.

1.4.2. Non-Composite Algorithm Combinations

As the OpenPGP protocol [RFC9580] allows for multiple signatures to be applied to a single message, it is also possible to realize non-composite combinations of signatures. Furthermore, multiple OpenPGP signatures may be combined on the application layer. These latter two cases realize non-composite combinations of signatures. Section 3.3 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.

2. 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, i.e., they are not parametrized.

2.1. Algorithm Specifications

For signatures, the following (composite) signature schemes are specified:

Table 1: Signature algorithm specifications
ID Algorithm Requirement Definition
30 ML-DSA-65+Ed25519 MUST Section 5.2
31 ML-DSA-87+Ed448 SHOULD Section 5.2
32 SLH-DSA-SHAKE-128s MAY Section 6.1
33 SLH-DSA-SHAKE-128f MAY Section 6.1
34 SLH-DSA-SHAKE-256s MAY Section 6.1

For encryption, the following composite KEM schemes are specified:

Table 2: KEM algorithm specifications
ID Algorithm Requirement Definition
35 ML-KEM-768+X25519 MUST Section 4.2
36 ML-KEM-1024+X448 SHOULD Section 4.2

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 Section 10.1 for further considerations about parameter choices.

3. Algorithm Combinations

3.1. 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, i.e. both key encapsulations/decapsulations are performed in parallel, and the resulting key shares are fed into a key combiner to produce a single shared secret for message encryption.

As explained in Section 1.4.2, 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.

3.2. 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.

3.3. Multiple Signatures

The OpenPGP message format allows multiple signatures of a message, i.e. 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 [RFC9580, Section 5.2.5], 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 [RFC9580, Section 5.2.5].

3.4. 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 Section 4.1.1.1 or Section 4.1.1.2 it is REQUIRED to follow the specification and security advisory mandated from the respective elliptic curve specification.

3.5. 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.

4. Composite KEM schemes

4.1. Building Blocks

4.1.1. ECDH KEMs

In this section we define the encryption, decryption, and data formats for the ECDH component of the composite algorithms.

Table 3 describes the ECDH-KEM parameters and artifact lengths. The artifacts in Table 3 follow the encodings described in [RFC7748].

Table 3: Montgomery curves parameters and artifact lengths
  X25519 X448
Algorithm ID reference 35 36
Field size 32 octets 56 octets
ECDH-KEM x25519Kem (Section 4.1.1.1) x448Kem (Section 4.1.1.2)
ECDH public key 32 octets [RFC7748] 56 octets [RFC7748]
ECDH secret key 32 octets [RFC7748] 56 octets [RFC7748]
ECDH ephemeral 32 octets [RFC7748] 56 octets [RFC7748]
ECDH key share 32 octets [RFC7748] 56 octets [RFC7748]

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:

(ecdhCipherText, ecdhKeyShare) <- ECDH-KEM.Encaps(ecdhPublicKey)

and

(ecdhKeyShare) <- ECDH-KEM.Decaps(ecdhSecretKey, ecdhCipherText, ecdhPublicKey)

To instantiate ECDH-KEM, one must select a parameter set from Table 3.

4.1.1.1. X25519-KEM

The encapsulation and decapsulation operations of x25519kem are described using the function X25519() and encodings defined in [RFC7748]. 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 x25519Kem.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 x25519Kem.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

4.1.1.2. X448-KEM

The encapsulation and decapsulation operations of x448kem are described using the function X448() and encodings defined in [RFC7748]. 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.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 x448Kem.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

4.1.2. ML-KEM

ML-KEM features the following operations:

(mlkemCipherText, mlkemKeyShare) <- ML-KEM.Encaps(mlkemPublicKey)

and

(mlkemKeyShare) <- ML-KEM.Decaps(mlkemCipherText, mlkemSecretKey)

The above are the operations ML-KEM.Encaps and ML-KEM.Decaps defined in [FIPS-203]. 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 Table 4. All artifacts are encoded as defined in [FIPS-203].

Table 4: ML-KEM parameters artifact lengths in octets
Algorithm ID reference ML-KEM Public key Secret key Ciphertext Key share
35 ML-KEM-768 1184 64 1088 32
36 ML-KEM-1024 1568 64 1568 32

To instantiate ML-KEM, one must select a parameter set from the column "ML-KEM" of Table 4.

The procedure to perform ML-KEM.Encaps() is as follows:

  1. Invoke (mlkemCipherText, mlkemKeyShare) <- ML-KEM.Encaps(mlkemPublicKey), where mlkemPublicKey is the recipient's public key

  2. Set mlkemCipherText as the ML-KEM ciphertext

  3. Set mlkemKeyShare as the ML-KEM symmetric key share

The procedure to perform ML-KEM.Decaps() is as follows:

  1. Invoke mlkemKeyShare <- ML-KEM.Decaps(mlkemCipherText, mlkemSecretKey)

  2. Set mlkemKeyShare as the ML-KEM symmetric key share

4.2. Composite Encryption Schemes with ML-KEM

Table 2 specifies the following ML-KEM + ECDH composite public-key encryption schemes:

Table 5: ML-KEM + ECDH composite schemes
Algorithm ID reference ML-KEM ECDH-KEM
35 ML-KEM-768 x25519Kem
36 ML-KEM-1024 x448Kem

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 and the protocol binding information.

  • The session key for content encryption is then wrapped as described in [RFC3394] 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.

4.2.1. Key combiner

For the composite KEM schemes defined in Table 2 the following procedure MUST be used to compute the KEK that wraps a session key. The construction is a key derivation function compliant to [SP800-56C], Section 4, based on SHA3-256. It is given by the following algorithm, which computes the key encryption key KEK that is used to wrap, i.e., encrypt, the session key.

//   multiKeyCombine(
//       mlkemKeyShare, ecdhKeyShare,
//       ecdhCipherText, ecdhPublicKey,
//       algId
//   )
//
//   Input:
//   mlkemKeyShare   - the ML-KEM key share encoded as an octet string
//   ecdhKeyShare    - the ECDH key share encoded as an octet string
//   ecdhCipherText  - the ECDH ciphertext encoded as an octet string
//   ecdhPublicKey   - the ECDH public key of the recipient as an octet string
//   algId           - the OpenPGP algorithm ID of the public-key encryption algorithm

KEK = SHA3-256(
          mlkemKeyShare || ecdhKeyShare ||
          ecdhCipherText || ecdhPublicKey ||
          algId || domSep || len(domSep)
      )
return KEK

The value domSep is a constant set to the UTF-8 encoding of the string "OpenPGPCompositeKDFv1", i.e.

domSep = 4F 70 65 6E 50 47 50 43 6F 6D 70 6F 73 69 74 65 4B 44 46 76 31

Here len(domSep) is the single octet with the value equal to the octet-length of domSep, i.e., decimal 21.

4.2.2. Key generation procedure

The implementation MUST generate the ML-KEM and the ECDH component keys independently. ML-KEM key generation follows the specification [FIPS-203] and the artifacts are encoded as fixed-length octet strings as defined in Section 4.1.2. For ECDH this is done following the relative specification in [RFC7748], and encoding the outputs as fixed-length octet strings in the format specified in Table 3.

4.2.3. 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 Section 4.3.2.

  4. Instantiate the ECDH-KEM and the ML-KEM depending on the algorithm ID according to Table 5

  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 Section 4.2.1

  8. Compute C = AESKeyWrap(KEK, sessionKey) with AES-256 as per [RFC3394] 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.

4.2.4. 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 Section 4.3.2

  5. Instantiate the ECDH-KEM and the ML-KEM depending on the algorithm ID according to Table 5

  6. Parse ecdhCipherText, mlkemCipherText, and C from encryptedKey encoded as ecdhCipherText || mlkemCipherText || len(C,symAlgId) (|| symAlgId) || C as specified in Section 4.3.1, where symAlgId is present only in the case of a v3 PKESK.

  7. Compute (ecdhKeyShare) = ECDH-KEM.Decaps(ecdhCipherText, ecdhSecretKey, ecdhPublicKey)

  8. Compute (mlkemKeyShare) = ML-KEM.Decaps(mlkemCipherText, mlkemSecretKey)

  9. Compute KEK = multiKeyCombine(mlkemKeyShare, ecdhKeyShare, ecdhCipherText, ecdhPublicKey, algId) as defined in Section 4.2.1

  10. Compute sessionKey = AESKeyUnwrap(KEK, C) with AES-256 as per [RFC3394], aborting if the 64 bit integrity check fails

  11. Output sessionKey

4.3. Packet specifications

4.3.1. Public-Key Encrypted Session Key Packets (Tag 1)

The algorithm-specific fields consist of the output of the encryption procedure described in Section 4.2.3:

  • A fixed-length octet string representing an ECDH ephemeral public key in the format associated with the curve as specified in Section 4.1.1.

  • A fixed-length octet string of the ML-KEM ciphertext, whose length depends on the algorithm ID as specified in Table 4.

  • 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 [RFC9580], for the ML-KEM composite schemes, in the case of a v3 PKESK packet, the symmetric algorithm identifier is not encrypted. Instead, it is placed in plaintext after the 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 (tag 9) to encrypt data protected with the algorithms described in this document.

4.3.2. Key Material Packets

The composite ML-KEM-768 + X25519 (algorithm ID 35) MUST be used only with v4 or v6 keys, as defined in [RFC9580], 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 [RFC9580], or newer versions defined by updates of that document.

The algorithm-specific public key is this series of values:

  • A fixed-length octet string representing an EC point public key, in the point format associated with the curve specified in Section 4.1.1.

  • A fixed-length octet string containing the ML-KEM public key, whose length depends on the algorithm ID as specified in Table 4.

The algorithm-specific secret key is these two values:

  • A fixed-length octet string of the encoded secret scalar, whose encoding and length depend on the algorithm ID as specified in Section 4.1.1.

  • A fixed-length octet string containing the ML-KEM secret key in seed format, whose length is 64 octets (compare Table 4). The seed format is defined in accordance with [FIPS-203], Section 3.3. 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 [FIPS-203], each of a length of 32 octets. Upon parsing the secret key format, or before using the secret key, for the expansion of the key, the function ML-KEM.KeyGen_internal [FIPS-203] has to be invoked with the parsed values of d and z as input.

5. Composite Signature Schemes

5.1. Building blocks

5.1.1. EdDSA-Based signatures

Throughout this specification EdDSA refers to the PureEdDSA variant defined in [RFC8032].

To sign and verify with EdDSA the following operations are defined:

(eddsaSignature) <- EdDSA.Sign(eddsaSecretKey, dataDigest)

and

(verified) <- EdDSA.Verify(eddsaPublicKey, eddsaSignature, dataDigest)

The public and secret key, as well as the signature MUST be encoded according to [RFC8032] as fixed-length octet strings. The following table describes the EdDSA parameters and artifact lengths:

Table 6: EdDSA parameters and artifact lengths in octets
Algorithm ID reference Curve Field size Public key Secret key Signature
30 Ed25519 32 32 32 64
31 Ed448 57 57 57 114

5.1.2. ML-DSA signatures

Throughout this specification ML-DSA refers to the default pure and hedged version of ML-DSA defined in [FIPS-204].

For ML-DSA signature generation the default hedged version of the algorithm ML-DSA.Sign given in [FIPS-204] is used. That is, to sign with ML-DSA the following operation is defined:

(mldsaSignature) <- ML-DSA.Sign(mldsaSecretKey, dataDigest)

For ML-DSA signature verification the algorithm ML-DSA.Verify given in [FIPS-204] is used. That is, to verify with ML-DSA the following operation is defined:

(verified) <- ML-DSA.Verify(mldsaPublicKey, dataDigest, mldsaSignature)

ML-DSA has the parametrization with the corresponding artifact lengths in octets as given in Table 7. All artifacts are encoded as defined in [FIPS-204].

Table 7: ML-DSA parameters and artifact lengths in octets
Algorithm ID reference ML-DSA Public key Secret key Signature value
30 ML-DSA-65 1952 32 3309
31 ML-DSA-87 2592 32 4627

5.2. Composite Signature Schemes with ML-DSA

5.2.1. Key generation procedure

The implementation MUST generate the ML-DSA and the EdDSA component keys independently. ML-DSA key generation follows the specification [FIPS-204] and the artifacts are encoded as fixed-length octet strings as defined in Section 5.1.2. For EdDSA this is done following the relative specification in [RFC7748], and encoding the artifacts as specified in Section 5.1.1 as fixed-length octet strings.

5.2.2. 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 [RFC9580, Section 5.2.4]

  2. Create the EdDSA signature over dataDigest with EdDSA.Sign() from Section 5.1.1

  3. Create the ML-DSA signature over dataDigest with ML-DSA.Sign() from Section 5.1.2

  4. Encode the EdDSA and ML-DSA signatures according to the packet structure given in Section 5.3.1.

5.2.3. 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 Section 5.1.1

  2. Verify the ML-DSA signature with ML-DSA.Verify() from Section 5.1.2

As specified in Section 3.2 an implementation MUST validate both signatures, i.e. EdDSA and ML-DSA, successfully to state that a composite ML-DSA + EdDSA signature is valid.

5.3. Packet Specifications

5.3.1. Signature Packet (Tag 2)

The composite ML-DSA + EdDSA schemes MUST be used only with v6 signatures, as defined in [RFC9580], 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 Table 6.

  • A fixed-length octet string of the ML-DSA signature value, whose length depends on the algorithm ID as specified in Table 7.

5.3.2. Key Material Packets

The composite ML-DSA + EdDSA schemes MUST be used only with v6 keys, as defined in [RFC9580], or newer versions defined by updates of that document.

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 Table 6.

  • A fixed-length octet string containing the ML-DSA public key, whose length depends on the algorithm ID as specified in Table 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 Table 6.

  • A fixed-length octet string containing the ML-DSA secret key in seed format, whose length is 32 octets (compare Table 7). The seed format is defined in accordance with [FIPS-204], Section 3.6.3. Namely, the secret key is given by the value xi generated in step 1 of ML-DSA.KeyGen [FIPS-204]. Upon parsing the secret key format, or before using the secret key, for the expansion of the key, the function ML-DSA.KeyGen_internal [FIPS-204] has to be invoked with the parsed value of xi as input.

6. SLH-DSA

Throughout this specification SLH-DSA refers to the default pure and hedged version of SLH-DSA defined in [FIPS-205].

6.1. 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".

Table 8: SLH-DSA algorithm code points and the corresponding artifact lengths in octets.
Algorithm ID reference SLH-DSA public key SLH-DSA secret key SLH-DSA signature
32 32 64 7856
33 32 64 17088
34 64 128 29792

6.1.1. Key generation

SLH-DSA key generation is performed via the algorithm SLH-DSA.KeyGen as specified in [FIPS-205], and the artifacts are encoded as fixed-length octet strings as defined in Section 6.1.

6.1.2. Signature Generation

SLH-DSA signature generation is performed via the default hedged version of the algorithm SLH-DSA.Sign as specified in [FIPS-205].

6.1.3. Signature Verification

SLH-DSA signature verification is performed via the algorithm SLH-DSA.Verify as specified in [FIPS-205].

6.2. Packet specifications

6.2.1. Signature Packet (Tag 2)

The SLH-DSA algorithms MUST be used only with v6 signatures, as defined in [RFC9580, Section 5.2.3].

The algorithm-specific part of a signature packet for an SLH-DSA algorithm 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 Table 8.

6.2.2. Key Material Packets

The SLH-DSA algorithms code points MUST be used only with v6 keys, as defined in [RFC9580], or newer versions defined by updates of that document.

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 Table 8.

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 Table 8.

7. Notes on Algorithms

7.1. 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.

7.2. Hash Algorithms for Key Binding Signatures

Subkey binding signatures over algorithms described in this document and primary key binding signatures made by algorithms described in this document MUST NOT be made with MD5, SHA-1, or RIPEMD-160. A receiving implementation MUST treat such a signature as invalid.

8. Migration Considerations

The post-quantum KEM algorithms defined in Table 2 and the signature algorithms defined in Table 1 are a set of new public key algorithms that extend the algorithm selection of [RFC9580]. During the transition period, the post-quantum algorithms will not be supported by all clients. Therefore various migration considerations must be taken into account, in particular backwards compatibility to existing implementations that have not yet been updated to support the post-quantum algorithms.

8.1. Encrypting to Traditional and PQ(/T) Keys

As noted in Section 3.1, 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.

8.2. 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 Section 3.3. Signing only with PQ(/T) key material is not backwards compatible.

8.3. 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.

9. Security Considerations

9.1. 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 [RFC9580, Section 5.2.4]. As a consequence, a component signature taken out of the context of a specific composite algorithm is not a valid 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 (i.e., 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.

9.2. Key combiner

For the key combination in Section 4.2.1 this specification limits itself to the use of SHA3-256 in a construction following [SP800-56C]. A central security notion of a key combiner is IND-CCA2-security. It is argued in [BCD_24] that the key combiner specified in Section 4.2.1 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 [ABH_21].

Note that the inclusion of the EC public key in the key combiner also accounts for multi-target attacks against X25519 and X448.

9.2.1. Domain separation and context binding

The domSep information defined in Section 4.2.1 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 dompSep. 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.

9.3. 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 [FIPS-204] and [FIPS-205].

9.4. 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.

9.5. 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.

10. Additional considerations

10.1. 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 EC-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 the one hundred fold to more than the two thousand fold of that of ML-DSA-87. These number are based on the performance measurements published in the NIST submissions for SLH-DSA and ML-DSA. In order to achieve fast signature generation times, the algorithm SLH-DSA-SHAKE-128f ("f" standing for "fast") should be chosen. This comes at the expense of a larger signature size. This choice can be relevant in applications where mass signing occurs or a small latency is required.

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 the SLH-DSA is, for the parameters covered by this specification, larger than that of ML-DSA-87 by a factor ranging from four (for -128s) over nine (for -256s) to twelve (for -128f).

11. IANA Considerations

IANA is requested to add the algorithm IDs defined in Table 9 to the existing registry OpenPGP Public Key Algorithms. The field specifications enclosed in brackets for the ML-KEM + ECDH composite algorithms denote fields that are only conditionally contained in the data structure.

Table 9: 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 (Table 6), 1952 octets ML-DSA-65 public key (Table 7) 32 octets Ed25519 secret key (Table 6), 4032 octets ML-DSA-65 secret (Table 7) 64 octets Ed25519 signature (Table 6), 3293 octets ML-DSA-65 signature (Table 7) N/A Section 5.2
31 ML-DSA-87+Ed448 57 octets Ed448 public key (Table 6), 2592 octets ML-DSA-87 public key (Table 7) 57 octets Ed448 secret key (Table 6), 4896 octets ML-DSA-87 secret (Table 7) 114 octets Ed448 signature (Table 6), 4595 octets ML-DSA-87 signature (Table 7) N/A Section 5.2
32 SLH-DSA-SHAKE-128s 32 octets public key (Table 8) 64 octets secret key (Table 8) 7856 octets signature (Table 8) N/A Section 6.1
33 SLH-DSA-SHAKE-128f 32 octets public key (Table 8) 64 octets secret key (Table 8) 17088 octets signature (Table 8) N/A Section 6.1
34 SLH-DSA-SHAKE-256s 64 octets public key (Table 8) 128 octets secret key (Table 8) 29792 octets signature (Table 8) N/A Section 6.1
35 ML-KEM-768+X25519 32 octets X25519 public key (Table 3), 1184 octets ML-KEM-768 public key (Table 4) 32 octets X25519 secret key (Table 3), 2400 octets ML-KEM-768 secret-key (Table 4) N/A 32 octets X25519 ciphertext, 1088 octets ML-KEM-768 ciphertext [, 1 octet algorithm ID in case of v3 PKESK], 1 octet length field of value n, n octets wrapped session key (Section 4.3.1) Section 4.2
36 ML-KEM-1024+X448 56 octets X448 public key (Table 3), 1568 octets ML-KEM-1024 public key (Table 4) 56 octets X448 secret key (Table 3), 3168 octets ML-KEM-1024 secret-key (Table 4) N/A 56 octets X448 ciphertext, 1568 octets ML-KEM-1024 ciphertext [, 1 octet algorithm ID in case of v3 PKESK], 1 octet length field of value n, n octets wrapped session key (Section 4.3.1) Section 4.2

12. Changelog

12.1. 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.

12.2. 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.

12.3. 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.

12.4. draft-wussler-openpgp-pqc-04

  • Added Johannes Roth as author

12.6. 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.

12.7. draft-ietf-openpgp-pqc-02

  • Removed git rebase artifact.

12.8. 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 (tag 9) and weak hashes when using PQ algorithms.

12.9. 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 decscription.

  • Added ML-DSA test vectors.

12.10. 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.

12.11. draft-ietf-openpgp-pqc-06

  • Fixed and improved test vectors.

12.12. 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.

12.13. 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

12.14. draft-ietf-openpgp-pqc-09

  • Removed subkey semantics related guidance

  • Updated test vectors

  • Added non-normative algorithm explanation

13. 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

[RFC3394]
Schaad, J. and R. Housley, "Advanced Encryption Standard (AES) Key Wrap Algorithm", RFC 3394, DOI 10.17487/RFC3394, , <https://www.rfc-editor.org/rfc/rfc3394>.
[RFC7748]
Langley, A., Hamburg, M., and S. Turner, "Elliptic Curves for Security", RFC 7748, DOI 10.17487/RFC7748, , <https://www.rfc-editor.org/rfc/rfc7748>.
[RFC8032]
Josefsson, S. and I. Liusvaara, "Edwards-Curve Digital Signature Algorithm (EdDSA)", RFC 8032, DOI 10.17487/RFC8032, , <https://www.rfc-editor.org/rfc/rfc8032>.
[RFC9580]
Wouters, P., Ed., Huigens, D., Winter, J., and Y. Niibe, "OpenPGP", RFC 9580, DOI 10.17487/RFC9580, , <https://www.rfc-editor.org/rfc/rfc9580>.

Informative References

[ABH_21]
Alwen, J., Blanchet, B., Hauck, E., Kiltz, E., Lipp, B., and D. Riepel, "Analysing the HPKE Standard", , <https://doi.org/10.1007/978-3-030-77870-5_4>.
[BCD_24]
Barbosa, M., Connolly, D., Duarte, J. D., Kaiser, A., Schwabe, P., Varner, K., and B. Westerbaan, "X-Wing The Hybrid KEM You’ve Been Looking For", , <https://doi.org/10.62056/a3qj89n4e>.
[FIPS-203]
National Institute of Standards and Technology, "Module-Lattice-Based Key-Encapsulation Mechanism Standard", , <https://doi.org/10.6028/NIST.FIPS.203>.
[FIPS-204]
National Institute of Standards and Technology, "Module-Lattice-Based Digital Signature Standard", , <https://doi.org/10.6028/NIST.FIPS.204>.
[FIPS-205]
National Institute of Standards and Technology, "Stateless Hash-Based Digital Signature Standard", , <https://doi.org/10.6028/NIST.FIPS.205>.
[I-D.ietf-pquip-pqt-hybrid-terminology]
D, F., P, M., and B. Hale, "Terminology for Post-Quantum Traditional Hybrid Schemes", Work in Progress, Internet-Draft, draft-ietf-pquip-pqt-hybrid-terminology-06, , <https://datatracker.ietf.org/doc/html/draft-ietf-pquip-pqt-hybrid-terminology-06>.
[NIST-PQC]
Chen, L., Moody, D., and Y. Liu, "Post-Quantum Cryptography Standardization", , <https://csrc.nist.gov/projects/post-quantum-cryptography/post-quantum-cryptography-standardization>.
[NISTIR-8413]
Alagic, G., Apon, D., Cooper, D., Dang, Q., Dang, T., Kelsey, J., Lichtinger, J., Miller, C., Moody, D., Peralta, R., Perlner, R., Robinson, A., Smith-Tone, D., and Y. Liu, "Status Report on the Third Round of the NIST Post-Quantum Cryptography Standardization Process", NIST IR 8413 , , <https://doi.org/10.6028/NIST.IR.8413-upd1>.
[SP800-56C]
Barker, E., Chen, L., Roginsky, A., and R. Davis, "Recommendation for Key-Derivation Methods in Key-Establishment Schemes", NIST Special Publication 800-56C Rev. 2 , , <https://doi.org/10.6028/NIST.SP.800-56Cr2>.

Appendix A. Test Vectors

To help implementing this specification a set of non-normative examples follow here.

A.1. Sample v6 Ed25519 with ML-KEM-768+X25519 Data

A.1.1. 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.

-----BEGIN PGP PRIVATE KEY BLOCK-----
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-----END PGP PRIVATE KEY BLOCK-----

A.1.2. Transferable Public Key

Here is the corresponding Transferable Public Key for Appendix A.1.1 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

-----BEGIN PGP PUBLIC KEY BLOCK-----
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-----END PGP PUBLIC KEY BLOCK-----

A.1.3. Encrypted and Signed Message

Here is a signed message "Testing\n" encrypted to the certificate Appendix A.1.2 and signed by the secret key Appendix A.1.1:

  • 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.

-----BEGIN PGP MESSAGE-----
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-----END PGP MESSAGE-----

A.2. Sample v4 Ed25519 with ML-KEM-768+X25519 Data

A.2.1. 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.

-----BEGIN PGP PRIVATE KEY BLOCK-----
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-----END PGP PRIVATE KEY BLOCK-----

A.2.2. Transferable Public Key

Here is the corresponding Transferable Public Key for Appendix A.2.1 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

-----BEGIN PGP PUBLIC KEY BLOCK-----
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-----END PGP PUBLIC KEY BLOCK-----

A.2.3. Encrypted and Signed SEIPD v1 Message

Here is a signed message "Testing\n" encrypted to the certificate Appendix A.2.2 and signed by the secret key Appendix A.2.1:

  • 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.

-----BEGIN PGP MESSAGE-----

wcPUA6T5X5he1hpRI8oKxrVQiCkB27ePKVHeA4pTYMKZA6u1l8syrP2+sEULDgvB
GmH6+0mTw07VEh6J1i1+3ymnnTqLhkv3YqdBtiC81+PL05YPCymPZaWf0ajq+4sM
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n/mwyR/GLG+gRc16I5hPm84lS34+/txx745yDXdTx/szZAqQw0VW47CwF17A3wdw
cX1UDnUnf7/llFKqg8Zn/GXGIEreo5q/83Ib7dehm50APhtaKnQzoPbPPu21lw+8
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BEtWMOqLTIovjrxHbn5judqLYQQgZPbMguzj5JXrQM7wVu4o0edv967oI6ZRBg4y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-----END PGP MESSAGE-----

A.2.4. Encrypted and Signed SEIPD v2 Message

Here is a signed message "Testing\n" encrypted to the certificate Appendix A.2.2 and signed by the secret key Appendix A.2.1:

  • 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.

-----BEGIN PGP MESSAGE-----
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fCrvf+hxuGn0mKk3qlTkmF5vOt+NNiqXt+nzJ7bqdkH3kAQ2qG9UHi0Ey1X7ykI4
MKqjNXp3ovwx20hUYrPMRo/XXz7s8ZiqX5q544kpjwxU0n9mvWYEjr3hePtAK4YD
6WRtqukyuxSPvonhdyq+x/awcg2AQe5tPH+eMTt/cm1yBdzgvbNxUcy5+87TQJhJ
Ia425biPs4kZku1NP2pN/kVeT8Me56zhdaJF2OwcUGOSjbkgo/F4WyE5bYK7gM5G
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jshrrUHJpZri/4Lv8cX1/A5OMULSyKNX3PVk6aZPtzXDOm1MCC0M1vIboFvD1qEx
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mwYrawlUONtMBjbU2KGmKqx94V0yMIK1FEA9LLB4akWO4Gnh/qUQbq6Tptb6zZQL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-----END PGP MESSAGE-----

A.3. Sample ML-DSA-65+Ed25519 with ML-KEM-768+X25519 Data

A.3.1. 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.

-----BEGIN PGP PRIVATE KEY BLOCK-----

xcdLBmd0hYAeAAAHwIgoGEBiAbt7rv8r/76EjORZbGScxv3ZXOBMKhZTrhqxuLcI
G/61UbWg/25J/AGibQkF/oUCH/u375ep8gZUVcdIHwBXuQuAbhDcL0WyN66Yv7qg
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-----END PGP PRIVATE KEY BLOCK-----

A.3.2. Transferable Public Key

Here is the corresponding Transferable Public Key for Appendix A.3.1 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

-----BEGIN PGP PUBLIC KEY BLOCK-----

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-----END PGP PUBLIC KEY BLOCK-----

A.3.3. Encrypted and Signed Message

Here is a signed message "Testing\n" encrypted to the certificate Appendix A.3.2 and signed by the secret key Appendix A.3.1:

  • 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.

-----BEGIN PGP MESSAGE-----

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-----END PGP MESSAGE-----

A.3.4. Detached signature

Here is a detached signature for the message "Testing\n" made by the secret key Appendix A.3.1:

  • A v6 signature packet

-----BEGIN PGP SIGNATURE-----

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bG3FQQtRNNfXNPEqPL+Uaf20kEJHDzas04q8bVpMsW/RRwFxolj4DWckwVUOvrEi
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lbPC+YTNWWw6WMRKRsm/dyQGEKvPZ7/7vy9O8+u8YLhETdIYPHkRSVCNecMulB1d
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pH8oB39pqA9Mf2RuF9XN8FcOVIJ+BwD/fi43uNrX42pI6m5bwkTMgaOYzIsK1KML
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IWmJCz7gHUsq/EClgui4pYtVM+QX6FJTqyGxiShie100/3iDgfQoP8qsVMSPai1U
cs7Bw+DYkX2VlTLS4H9WjKfaHKmAFVmgPByI4i8ARoQmhItA688kp1ctrU397/aW
w3Dyoa8LnPG0kVrh0kjy9pjS9IegJt8GayrHr0i+ep/27+DY18ag5FMIeXmh0URN
WaZbGtQKJLhp6JGintpG8y1/nFhHwIbgUSohFStSdXmKptxnbp/NdsfNAgoPEyBh
xcwAASBQgIkTHCxJU1dtnrzwAAAAAAAAAAAAAAAAAAAAAAgMDxcdJw==
-----END PGP SIGNATURE-----

A.4. Sample ML-DSA-87+Ed448 with ML-KEM-1024+X448 Data

A.4.1. 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.

-----BEGIN PGP PRIVATE KEY BLOCK-----

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-----END PGP PRIVATE KEY BLOCK-----

A.4.2. Transferable Public Key

Here is the corresponding Transferable Public Key for Appendix A.4.1 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

-----BEGIN PGP PUBLIC KEY BLOCK-----

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BQwVHCIoMDU=
-----END PGP PUBLIC KEY BLOCK-----

A.4.3. Encrypted and Signed Message

Here is a signed message "Testing\n" encrypted to the certificate Appendix A.4.2 and signed by the secret key Appendix A.4.1:

  • 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.

-----BEGIN PGP MESSAGE-----

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-----END PGP MESSAGE-----

A.4.4. Detached signature

Here is a detached signature for the message "Testing\n" made by the secret key Appendix A.4.1:

  • A v6 signature packet

-----BEGIN PGP SIGNATURE-----

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Bw4/Xqbj8PgAAAAAAAAAAAAAAAAAAAAABQ0XHycvMzs=
-----END PGP SIGNATURE-----

A.5. Sample SLH-DSA-SHAKE-128s with ML-KEM-768+X25519 Data

A.5.1. 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.

-----BEGIN PGP PRIVATE KEY BLOCK-----

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-----END PGP PRIVATE KEY BLOCK-----

A.5.2. Transferable Public Key

Here is the corresponding Transferable Public Key for Appendix A.5.1 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

-----BEGIN PGP PUBLIC KEY BLOCK-----

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-----END PGP PUBLIC KEY BLOCK-----

A.5.3. Encrypted and Signed Message

Here is a signed message "Testing\n" encrypted to the certificate Appendix A.5.2 and signed by the secret key Appendix A.5.1:

  • 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.

-----BEGIN PGP MESSAGE-----

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-----END PGP MESSAGE-----

A.5.4. Detached signature

Here is a detached signature for the message "Testing\n" made by the secret key Appendix A.5.1:

  • A v6 signature packet

-----BEGIN PGP SIGNATURE-----

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37SMChLtrr/nQOEmPyGGp3KRMJjSlwzyVeJPyH8tMEh432e+DA99lGCY3d9KHTAN
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8NTX2yQpBKwR4hRuCxt5B5I7ePRw6tVy+IckioXikCu1IdXSlQgxy6wULkjVnQBE
qys5KeAY2ZFOKBA=
-----END PGP SIGNATURE-----

A.6. Sample SLH-DSA-SHAKE-128f with ML-KEM-768+X25519 Data

A.6.1. 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.

-----BEGIN PGP PRIVATE KEY BLOCK-----

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-----END PGP PRIVATE KEY BLOCK-----

A.6.2. Transferable Public Key

Here is the corresponding Transferable Public Key for Appendix A.6.1 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

-----BEGIN PGP PUBLIC KEY BLOCK-----

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-----END PGP PUBLIC KEY BLOCK-----

A.6.3. Detached signature

Here is a detached signature for the message "Testing\n" made by the secret key Appendix A.6.1:

  • A v6 signature packet

-----BEGIN PGP SIGNATURE-----

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0ZLsrBZT3avWA2lkg6U04HIH0kcP/ChCFObJX+Z94a3nQz1J7P8Pzg/l+zm5sG4k
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bAHqi0Q061lK/2N9S3mDXfeqeZYQyIXeprHTLx5HiHQe++PzvWXW85R8dg+DnHeP
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8h5pucRDAFghZboJgjxHHRxcdWGkmN+t6pwWrEUEap5Plfo8++5SCMGf+o3ZQT2C
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o1/5GVJSePW0mJCywV9r9VPvkx/ZRYMgXwh+UX/kBfOX3uoJpVRhqjulXWrzWX+W
++n24qrWP0j0fuF2cx71BAJTnbafYNNgjP6Kp7Ec6N4qQwXGPKXiHzKihAmSnm/7
jFo6hAWlvunqUondaF3S3X5LRkouGGImUQjNa7+6HTRm+E55gA8bDmZKcZgo6lpk
6Smouh4aRIKhwARBkdj7HyAKXvYUlBXnkcU9r764qAC0KZCOTs8ydbgTvKR/Gas2
hgMI/DPj9GwtRRmTTCSGd0JqdMISbvsek1ddQQ5Y
-----END PGP SIGNATURE-----

A.7. Sample SLH-DSA-SHAKE-256s with ML-KEM-1024+X448 Data

A.7.1. 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.

-----BEGIN PGP PRIVATE KEY BLOCK-----

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piFm/Nt5byIwwCpCW1T1RqeSEWUwkMvEjzIoQepGEGaUnT26jjwOpYhXsY68lRFa
vd9+sDPx0pwcjSW/VBXC/wAAdNAGHyIKAAAAQQWCZ3SFgAMLCQcEFQoMCAIWAAKb
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-----END PGP PRIVATE KEY BLOCK-----

A.7.2. Transferable Public Key

Here is the corresponding Transferable Public Key for Appendix A.7.1 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

-----BEGIN PGP PUBLIC KEY BLOCK-----

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-----END PGP PUBLIC KEY BLOCK-----

A.7.3. Detached signature

Here is a detached signature for the message "Testing\n" made by the secret key Appendix A.7.1:

  • A v6 signature packet

-----BEGIN PGP SIGNATURE-----

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-----END PGP SIGNATURE-----

Authors' Addresses

Stavros Kousidis
BSI
Germany
Johannes Roth
MTG AG
Germany
Falko Strenzke
MTG AG
Germany
Aron Wussler
Proton AG
Switzerland