| Internet-Draft | hpke-xyber768d00 | April 2023 |
| Westerbaan & Wood | Expires 12 October 2023 | [Page] |
This memo defines X25519Kyber768Draft00, a hybrid post-quantum KEM, for HPKE (RFC9180). This KEM does not support the authenticated modes of HPKE.¶
This note is to be removed before publishing as an RFC.¶
The latest revision of this draft can be found at https://bwesterb.github.io/draft-westerbaan-cfrg-hpke-xyber768d00/draft-westerbaan-cfrg-hpke-xyber768d00.html. Status information for this document may be found at https://datatracker.ietf.org/doc/draft-westerbaan-cfrg-hpke-xyber768d00/.¶
Discussion of this document takes place on the Crypto Forum Research Group mailing list (mailto:cfrg@ietf.org), which is archived at https://mailarchive.ietf.org/arch/search/?email_list=cfrg. Subscribe at https://www.ietf.org/mailman/listinfo/cfrg/.¶
Source for this draft and an issue tracker can be found at https://github.com/bwesterb/draft-westerbaan-cfrg-hpke-xyber768d00.¶
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 12 October 2023.¶
Copyright (c) 2023 IETF Trust and the persons identified as the document authors. All rights reserved.¶
This document is subject to BCP 78 and the IETF Trust's Legal Provisions Relating to IETF Documents (https://trustee.ietf.org/license-info) in effect on the date of publication of this document. Please review these documents carefully, as they describe your rights and restrictions with respect to this document.¶
The final draft for Kyber is expected in 2024. There is a desire to deploy post-quantum cryptography earlier than that. To promote interoperability of early implementations, this document specifies a preliminary hybrid post-quantum key agreement.¶
Kyber is a plain KEM that does not support the static-ephemeral key exchange that allows HPKE based on Diffie-Hellman based KEMs its (optional) authenticated modes.¶
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 [RFC2119] [RFC8174] when, and only when, they appear in all capitals, as shown here.¶
In short, X25519Kyber768Draft00 is the parallel combination of DHKEM(X25519, HKDF-SHA256) [RFC9180] [RFC7748] and Kyber768Draft00 [KYBER]: wire encodings of public key, private key, cipher texts and shared secrets are simple concatenations.¶
A KEM private key is a tuple of an DHKEM(X25519, HKDF-SHA256) private key and Kyber768Draft00 private key, where each is an octet string of length 32 and 2400 bytes, respectively. Similarly, a KEM public key is a tuple of an DHKEM(X25519, HKDF-SHA256) public key and Kyber768Draft00 public key.¶
Kyber768Draft00 is Kyber768 as submitted to the third round of the NIST PQC process [KyberV302], where it is also known as v3.02.¶
Note that this hybrid KEM is different from the one defined in [TLS-XYBER] based on [HYBRID] for TLS, as raw X25519 shared secrets can be used, thanks to the message transcript.¶
We use HKDF-SHA256 as the HPKE HKDF. We denote the DHKEM(X25519, HKDF-SHA256) KEM as DHKEM throughout the document.¶
SerializePublicKey and DeserializePublicKey encode and decode X25519Kyber768Draft00 public keys to and from their wire format representation. Their implementation is described below.¶
Note that DHKEM public keys MUST be validated before they can be used as stipulated in Section 7.1.1 of [RFC9180].¶
def SerializePublicKey(pkX):
(pkA, pkB) = pkX
return concat(
DHKEM.SerializePublicKey(pkA),
pkB
)
def DeserializePublicKey(pkXm):
return (
DHKEM.DeserializePublicKey(pkXm[0:32]),
pkXm[32:1216]
)
¶
DHKEM.SerializePublicKey() and DHKEM.DeserializePublicKey() are SerializePublicKey() and respectively DeserializePublicKey() as defined for DHKEM in Section 7.1.1 of [RFC9180].¶
SerializePrivateKey and DeserializePrivateKey encode and decode X25519Kyber768Draft00 private keys to and from their wire format representation. Their implementation is described below.¶
def SerializePrivateKey(skX):
(skA, skB) = skX
return concat(
DHKEM.SerializePrivateKey(skA),
skB
)
def DeserializePrivateKey(skXm):
return (
DHKEM.DeserializePrivateKey(skXm[0:32]),
skXm[32:2432]
)
¶
DHKEM.SerializePrivateKey() and DHKEM.DeserializePrivateKey() are SerializePrivateKey() and respectively DeserializePrivateKey() as defined for DHKEM in Section 7.1.2 of [RFC9180].¶
DeriveKeyPair deterministically derives a X25519Kyber768Draft00 private and public key pair from a fixed-length seed. In particular, a single seed is stretched and passed to the relevant key derivation functions for DHKEM and Kyber768Draft00.¶
def DeriveKeyPair(ikm):
dkp_prk = LabeledExtract("", "dkp_prk", ikm)
seed = LabeledExpand(dkp_prk, "sk", 32 + 64)
seed1 = seed[0:32]
seed2 = seed[32:96]
sk1, pk1 = DHKEM.DeriveKeyPair(seed1)
sk2, pk2 = Kyber768Draft00.DeriveKeyPair(seed2)
return (concat(sk1, sk2), concat(pk1, pk2))
¶
DHKEM.DeriveKeyPair() is DeriveKeyPair() defined for DHKEM in Section 7.1.3 of [RFC9180]. Kyber768Draft00.DeriveKeyPair() is the key generation as defined in Section 11.1 of [KYBER].¶
ikm SHOULD be at least 32 octets in length. (This is contrary to [RFC9180] which stipulates it should be at least Nsk=2432 octets in length.)¶
Encap and Decap are the primary KEM functions. Their implementation is described below.¶
def Encap(pkR):
(pkA, pkB) = pkR
(ss1, enc1) = DHKEM.Encap(pkA)
(ss2, enc2) = Kyber768Draft00.Encap(pkB)
return (
concat(ss1, ss2),
concat(enc1, enc2)
)
def Decap(enc, skR):
(skA, skB) = skR
enc1 = enc[0:32]
enc2 = enc[32:1120]
ss1 = DHKEM.Decap(enc1, skA)
ss2 = Kyber768Draft00.Decap(enc2, skB)
return concat(ss1, ss2)
¶
X25519Kyber768Draft00 is not an authenticeted KEM and does not support AuthEncap() or AuthDecap(), see Section 1.2.¶
We aim for IND-CCA2 robustness: that means that if either constituent KEM is not IND-CCA2 secure, but the other is, the combined hybrid remains IND-CCA2 secure.¶
In general [GHP18] [COMBINERS] this requires a combiner that mixes in the cipher texts, such as, assuming fixed-length cipher texts and shared secrets:¶
HKDF(concat(ss1, ss2, enc1, enc2)).¶
In the present case, DHKEM(X25519, -) and Kyber768Draft00 already mix in the respective cipher texts into their shared secrets. Thus we can forgo mixing in the cipher texts a second time.¶
Furthermore, in HPKE, the shared secret is never used directly, but passed through HKDF (via KeySchedule), and thus we can forgo the call to HKDF as well.¶
This document requests/registers a new entry to the "HPKE KEM Identifiers" registry.¶
The authors would like to thank P. Kampanakis, I. Liusvaara, T. Wiggers, and S. Farrell for their input.¶
RFC Editor's Note: Please remove this section prior to publication of a final version of this document.¶
This section contains test vectors formatted similary to that which are found in [RFC9180], except that it only contains vectors for the non-authenticated modes of operation.¶
mode: 0 kem_id: 48 kdf_id: 1 aead_id: 1 info: 486561722068656172 ikmE: 35b8cc873c23dc62b8d260169afa2f75ab916a58d974918835d25e6a435085b2 pkEm: 0491416883b53a65d505b58c6a4c86fbe307a781d949d7327192d783c9f5e0 68e1668f965484ead8c398db8a9f769bd73a7f5b7999c8828b9acb8d9035004c8bba 5395cef5a35cecd98053d21240653cf8fb6a9f5868eb785e89b43ffc11ae9b7aa311 00c80b2590392a40f1a309803cab9265a3229874cf8351185777360c35cb928806a9 57f4199a6d6a220ef62a4324ba3b0b1d629b17d037a3fc5c925afb82d7e317f66767 7185b72203cc14d439f8bca986026a223c84e7c3115edb5a53dc5eabb5c694b9186f bb5388d8436e38b112eaa789496151ea819273c03e0c3b35d1c156f6221555390d75 2c0c83c77111238080382bfa673de09feab77ff802983a8722812c4f1ee3ac50d1b9 2cb692c8695749a52ef9e852a5b721d545a4de50b384872e7f21ab84f7208b048e2f faadba718ec5ea206e417683c2ae3ac658ec5b29af278a543496459a46c817a04d64 589a9064d2b1c927e60359c734fc4362453428d19ca85e215a83fbc8fc8c12366034 7e425440c6248865bc40560fcf77382ac6853a826536c754d0299afeca277949863f 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ffc4cc98d521f8193534b30f963925e0490012048b04251432c74287542aeb228249 d2c1df2521cc9a8e34e9c96418368c5c3f097b1ad392bd0cd1856935a482f1abbb84 53f671a9fb4c3d57fa7dbf8919eba6b8a573cc423abbd5a92883f9878055672e04a0 933b9dd489a02609abe4124e604a4f2a20b56d8387448b8ff9648c75624a0ec83572 774caf5b013398512e769257fa74d09b44da280140a06fc97788d68a44d18b90d9a8 9066561318ec11259359d6895a96308773a784cb159dc36b7f81097ab27b5d0b1b51 8af414f5576f48aa84efdc701d0a2fb0b74ec736028b0a82b6b40a2ad08278d017f9 a67fd8acb7dbea12179a066745547f922047332115901a262a764caaa890a371d6d5 048c8b4935034646247b74b913d820b4679354e285cc26305c1ef0b845b848f0bd20 e9cbab84275bde0b23ea4a9faa093b90be366b11a06bec7ca6d70044f7 skEm: 7f886105f814bd804028361f89d7c1d1cb1851366dbe76040ac09bc9bcc4c8 43cb20b3c136f75dbe80a143a29b3730cf25252d1e63622a543bccb1c0962a0b8231 563be0291ca85d0af04027b34503e50c6ee02ba9012475758931cb606633485db8b2 da88a4b552cbf284b62a9bb618a39638cc180a42c5a4d56cbbb7c212fc62605403c7 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009f749a195d1c8b3eaa8d5c3f571dc7231aafbbc0405e 4b484738352667c484867584e32e844cdf74d17b4ee224cc521bbc8bed221f21f34f 8ccc9842772686cb secret: f3efa52f183afb712f81cf043047fb598dcc9baf32ec0f8a8da5d4a1b3dee038 key: c75965d9044755d9276cd09f6d4c7599 base_nonce: 45645a4246ef241a626734f4 exporter_secret: 0803c31f34a29914990db3dce59eaecf24d96bc6bd0d8ee3a9306754d9a8bdde¶
sequence number: 0 pt: 546f2074686520756e6976657273616c206465706c6f796d656e74206f6620505143 aad: 436f756e742d30 nonce: 45645a4246ef241a626734f4 ct: b220ff5717f4930d6880e0548d13b0866478d030bee18ebb239ac09ee9889e19 13a665fc2bce3c33c270fa62a92350b8087d sequence number: 1 pt: 546f2074686520756e6976657273616c206465706c6f796d656e74206f6620505143 aad: 436f756e742d31 nonce: 45645a4246ef241a626734f5 ct: 1077bae5d1feb0665f91d7afbee2b63533670da049fe5c5f724e90122e4ae198 14de6766fe951804666670a1ad3092621f1e sequence number: 2 pt: 546f2074686520756e6976657273616c206465706c6f796d656e74206f6620505143 aad: 436f756e742d32 nonce: 45645a4246ef241a626734f6 ct: c4a52f100a134c36b88c55cd1ddebaa286e0c4a2705481a2d720fe0955a7b036 f1ae3c12be11c38ef65407e69f3f0bd74dc3 sequence number: 4 pt: 546f2074686520756e6976657273616c206465706c6f796d656e74206f6620505143 aad: 436f756e742d34 nonce: 45645a4246ef241a626734f0 ct: 2aaf6d542422ac074b5329555b976f91acd0b830e555972c3ac9d327de13d4ba 16e143ae5d1cb304a54e0b0849d9470e9271 sequence number: 255 pt: 546f2074686520756e6976657273616c206465706c6f796d656e74206f6620505143 aad: 436f756e742d323535 nonce: 45645a4246ef241a6267340b ct: 9aac24e649de8d11c1288434f91d473dc3b7f688eec08f4e59a4e337cc538608 e3376dde6ef587d1bbf513369e90cba1e9b1 sequence number: 256 pt: 546f2074686520756e6976657273616c206465706c6f796d656e74206f6620505143 aad: 436f756e742d323536 nonce: 45645a4246ef241a626735f4 ct: e5d9d0052f25702335473d42b9dec6de0ae8dcac78d62e05b379e6e71aa7a823 1b63e89879d1a7c953075b5021f88100ce4b¶
exporter_context: L: 32 exported_value: aa80ec309b030fd76025048c785d23c59e8e4bbe790e91a9dc7d6a4fab9fec52 exporter_context: 00 L: 32 exported_value: 8802f71f844c77d4f1ccff0cc1399588f5747f1a665b3899f50799893c5752ad exporter_context: 54657374436f6e74657874 L: 32 exported_value: 06164ab56f6949d8f70717f637b3d9093577db25e7c613340bfaf06a93a25761¶
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9dacf6dd404e575b17ef5f60583a649783e02eea7613d86c60c17e7685955a7afb4c 8 shared_secret: 3bf33b5b68b06f4be5722906efbb923ff43cf60fd711e27d2bf54 accd9cf17f1b567f9d01df089dfe25e032e31e3254e19b69b016357f9cbdd503bcdb 0d98178 key_schedule_context: 011c0e82b54d88402f8c14c546eb2c5d2ddf5c0ad00953 b8c7917e143a660122927584e32e844cdf74d17b4ee224cc521bbc8bed221f21f34f 8ccc9842772686cb secret: 30aec63132bb87e4c9963bf0dad9e5a1e4fc0f0c9552cb2685698d661b86e3cc key: 8fe10a8a79dead7d4d595f20b6e8ccd6 base_nonce: 12d25f985b62f1fa39c6e8e1 exporter_secret: 6d1a63ac2579209ebfd97ea18e74dfb2388d0dcdda6233afda202ba89d8d9170¶
sequence number: 0 pt: 546f2074686520756e6976657273616c206465706c6f796d656e74206f6620505143 aad: 436f756e742d30 nonce: 12d25f985b62f1fa39c6e8e1 ct: 97f902c0c6ef6fe8053e3aad3559eb2b6c76a9947371681907b62fb0626ecbf2 8320ddffe076814db6216ae76655b83a1a14 sequence number: 1 pt: 546f2074686520756e6976657273616c206465706c6f796d656e74206f6620505143 aad: 436f756e742d31 nonce: 12d25f985b62f1fa39c6e8e0 ct: 9c38f61cfda2348adb2088480c44991ede3b830f91d9bc02632e60aac567d820 e1f269d141c465495aa1b71cf2fbb7193457 sequence number: 2 pt: 546f2074686520756e6976657273616c206465706c6f796d656e74206f6620505143 aad: 436f756e742d32 nonce: 12d25f985b62f1fa39c6e8e3 ct: a8d73ff26295bce92db8ff4df3506b73e95875fb1f065340bd3795516cd765cb aa7210351e6500a9f01d18998cd2edd3b2dd sequence number: 4 pt: 546f2074686520756e6976657273616c206465706c6f796d656e74206f6620505143 aad: 436f756e742d34 nonce: 12d25f985b62f1fa39c6e8e5 ct: e6976d68ef14b7d059387d4a5bff7be4f1c4ad77ee7736a733a5f54a26420afa 17f0819f8a497a2261846629c81c67883a24 sequence number: 255 pt: 546f2074686520756e6976657273616c206465706c6f796d656e74206f6620505143 aad: 436f756e742d323535 nonce: 12d25f985b62f1fa39c6e81e ct: 2b8cc3f055454b0393a9bd0ceaff0457fd1775a9fc68e3b7a522d1c76c00ac67 3fd50eeb3c74846218bcb5cf2565f2cfc9a4 sequence number: 256 pt: 546f2074686520756e6976657273616c206465706c6f796d656e74206f6620505143 aad: 436f756e742d323536 nonce: 12d25f985b62f1fa39c6e9e1 ct: 00b2e16603a9f819e672d7322f9ac822176a9c46608cea5433825a7fac47d16d f4b9fddc4097916224a090bee43cc2887ba2¶
exporter_context: L: 32 exported_value: e7233e50071b83771866a677e5eabfb94df526eeeb4fe9784ca4686ebc29598f exporter_context: 00 L: 32 exported_value: accb634b03b17d3d1c8c4c7d1991ecb1e613a84292d9fc22ff2ca4d4d0dd36aa exporter_context: 54657374436f6e74657874 L: 32 exported_value: 1f6ddd10fb469ecce2be15dc653141f91137f342a0479f4261c330e1f4f8a8dd¶