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Support the new "ssh-ed448" key type.

This is standardised by RFC 8709 at SHOULD level, and for us it's not
too difficult (because we use general-purpose elliptic-curve code). So
let's be up to date for a change, and add it.

This implementation uses all the formats defined in the RFC. But we
also have to choose a wire format for the public+private key blob sent
to an agent, and since the OpenSSH agent protocol is the de facto
standard but not (yet?) handled by the IETF, OpenSSH themselves get to
say what the format for a key should or shouldn't be. So if they don't
support a particular key method, what do you do?

I checked with them, and they agreed that there's an obviously right
format for Ed448 keys, which is to do them exactly like Ed25519 except
that you have a 57-byte string everywhere Ed25519 had a 32-byte
string. So I've done that.
This commit is contained in:
Simon Tatham
2020-03-02 07:09:08 +00:00
parent 9334eb3ff0
commit a085acbadf
12 changed files with 159 additions and 12 deletions

View File

@ -1765,6 +1765,7 @@ culpa qui officia deserunt mollit anim id est laborum.
test_keys = [
('ed25519', 'AAAAC3NzaC1lZDI1NTE5AAAAIM7jupzef6CD0ps2JYxJp9IlwY49oorOseV5z5JFDFKn', 'AAAAIAf4/WRtypofgdNF2vbZOUFE1h4hvjw4tkGJZyOzI7c3', 255, b'0xf4d6e7f6f4479c23f0764ef43cea1711dbfe02aa2b5a32ff925c7c1fbf0f0db,0x27520c4592cf79e5b1ce8aa23d8ec125d2a7498c25369bd283a07fde9cbae3ce', [(0, 'AAAAC3NzaC1lZDI1NTE5AAAAQN73EqfyA4WneqDhgZ98TlRj9V5Wg8zCrMxTLJN1UtyfAnPUJDtfG/U0vOsP8PrnQxd41DDDnxrAXuqJz8rOagc=')]),
('ed448', 'AAAACXNzaC1lZDQ0OAAAADnRI0CQDym5IqUidLNDcSdHe54bYEwqjpjBlab8uKGoe6FRqqejha7+5U/VAHy7BmE23+ju26O9XgA=', 'AAAAObP9klqyiJSJsdFJf+xwZQdkbZGUqXE07K6e5plfRTGjYYkyWJFUNFH4jzIn9xH1TX9z9EGycPaXAA==', 448, b'0x4bf4a2b6586c60d8cdb52c2b45b897f6d2224bc37987489c0d70febb449e8c82964ed5785827be808e44d31dd31e6ff7c99f43e49f419928,0x5ebda3dbeee8df366106bb7c00d54fe5feae85a3a7aa51a17ba8a1b8fca695c1988e2a4c601b9e7b47277143b37422a522b9290f904023d1', [(0, 'AAAACXNzaC1lZDQ0OAAAAHLkSVioGMvLesZp3Tn+Z/sSK0Hl7RHsHP4q9flLzTpZG5h6JDH3VmZBEjTJ6iOLaa0v4FoNt0ng4wAB53WrlQC4h3iAusoGXnPMAKJLmqzplKOCi8HKXk8Xl8fsXbaoyhatv1OZpwJcffmh1x+x+LSgNQA=')]),
('p256', 'AAAAE2VjZHNhLXNoYTItbmlzdHAyNTYAAAAIbmlzdHAyNTYAAABBBHkYQ0sQoq5LbJI1VMWhw3bV43TSYi3WVpqIgKcBKK91TcFFlAMZgceOHQ0xAFYcSczIttLvFu+xkcLXrRd4N7Q=', 'AAAAIQCV/1VqiCsHZm/n+bq7lHEHlyy7KFgZBEbzqYaWtbx48Q==', 256, b'nistp256,0x7918434b10a2ae4b6c923554c5a1c376d5e374d2622dd6569a8880a70128af75,0x4dc14594031981c78e1d0d3100561c49ccc8b6d2ef16efb191c2d7ad177837b4', [(0, 'AAAAE2VjZHNhLXNoYTItbmlzdHAyNTYAAABIAAAAIAryzHDGi/TcCnbdxZkIYR5EGR6SNYXr/HlQRF8le+/IAAAAIERfzn6eHuBbqWIop2qL8S7DWRB3lenN1iyL10xYQPKw')]),
('p384', 'AAAAE2VjZHNhLXNoYTItbmlzdHAzODQAAAAIbmlzdHAzODQAAABhBMYK8PUtfAlJwKaBTIGEuCzH0vqOMa4UbcjrBbTbkGVSUnfo+nuC80NCdj9JJMs1jvfF8GzKLc5z8H3nZyM741/BUFjV7rEHsQFDek4KyWvKkEgKiTlZid19VukNo1q2Hg==', 'AAAAMGsfTmdB4zHdbiQ2euTSdzM6UKEOnrVjMAWwHEYvmG5qUOcBnn62fJDRJy67L+QGdg==', 384, b'nistp384,0xc60af0f52d7c0949c0a6814c8184b82cc7d2fa8e31ae146dc8eb05b4db9065525277e8fa7b82f34342763f4924cb358e,0xf7c5f06cca2dce73f07de767233be35fc15058d5eeb107b101437a4e0ac96bca90480a89395989dd7d56e90da35ab61e', [(0, 'AAAAE2VjZHNhLXNoYTItbmlzdHAzODQAAABpAAAAMDmHrtXCADzLvkkWG/duBAHlf6B1mVvdt6F0uzXfsf8Yub8WXNUNVnYq6ovrWPzLggAAADEA9izzwoUuFcXYRJeKcRLZEGMmSDDPzUZb7oZR0UgD1jsMQXs8UfpO31Qur/FDSCRK')]),
('p521', 'AAAAE2VjZHNhLXNoYTItbmlzdHA1MjEAAAAIbmlzdHA1MjEAAACFBAFrGthlKM152vu2Ghk+R7iO9/M6e+hTehNZ6+FBwof4HPkPB2/HHXj5+w5ynWyUrWiX5TI2riuJEIrJErcRH5LglADnJDX2w4yrKZ+wDHSz9lwh9p2F+B5R952es6gX3RJRkGA+qhKpKup8gKx78RMbleX8wgRtIu+4YMUnKb1edREiRg==', 'AAAAQgFh7VNJFUljWhhyAEiL0z+UPs/QggcMTd3Vv2aKDeBdCRl5di8r+BMm39L7bRzxRMEtW5NSKlDtE8MFEGdIE9khsw==', 521, b'nistp521,0x16b1ad86528cd79dafbb61a193e47b88ef7f33a7be8537a1359ebe141c287f81cf90f076fc71d78f9fb0e729d6c94ad6897e53236ae2b89108ac912b7111f92e094,0xe72435f6c38cab299fb00c74b3f65c21f69d85f81e51f79d9eb3a817dd125190603eaa12a92aea7c80ac7bf1131b95e5fcc2046d22efb860c52729bd5e75112246', [(0, 'AAAAE2VjZHNhLXNoYTItbmlzdHA1MjEAAACMAAAAQgCLgvftvwM3CUaigrW0yzmCHoYjC6GLtO+6S91itqpgMEtWPNlaTZH6QQqkgscijWdXx98dDkQao/gcAKVmOZKPXgAAAEIB1PIrsDF1y6poJ/czqujB7NSUWt31v+c2t6UA8m2gTA1ARuVJ9XBGLMdceOTB00Hi9psC2RYFLpaWREOGCeDa6ow=')]),
@ -2458,6 +2459,65 @@ class standard_test_vectors(MyTestBase):
signature = unhex(words[3])[:64]
vector(privkey, pubkey, message, signature)
def testEd448(self):
def vector(privkey, pubkey, message, signature):
x, y = ecc_edwards_get_affine(eddsa_public(
mp_from_bytes_le(privkey), 'ed448'))
self.assertEqual(int(y) | ((int(x) & 1) << 455),
int(mp_from_bytes_le(pubkey)))
pubblob = ssh_string(b"ssh-ed448") + ssh_string(pubkey)
privblob = ssh_string(privkey)
sigblob = ssh_string(b"ssh-ed448") + ssh_string(signature)
pubkey = ssh_key_new_pub('ed448', pubblob)
self.assertTrue(ssh_key_verify(pubkey, sigblob, message))
privkey = ssh_key_new_priv('ed448', pubblob, privblob)
# Deterministic signature check as in Ed25519
self.assertEqualBin(ssh_key_sign(privkey, message, 0), sigblob)
# Source: RFC 8032 section 7.4
privkey = unhex('6c82a562cb808d10d632be89c8513ebf6c929f34ddfa8c9f63c9960ef6e348a3528c8a3fcc2f044e39a3fc5b94492f8f032e7549a20098f95b')
pubkey = unhex('5fd7449b59b461fd2ce787ec616ad46a1da1342485a70e1f8a0ea75d80e96778edf124769b46c7061bd6783df1e50f6cd1fa1abeafe8256180')
message = b''
signature = unhex('533a37f6bbe457251f023c0d88f976ae2dfb504a843e34d2074fd823d41a591f2b233f034f628281f2fd7a22ddd47d7828c59bd0a21bfd3980ff0d2028d4b18a9df63e006c5d1c2d345b925d8dc00b4104852db99ac5c7cdda8530a113a0f4dbb61149f05a7363268c71d95808ff2e652600')
vector(privkey, pubkey, message, signature)
privkey = unhex('c4eab05d357007c632f3dbb48489924d552b08fe0c353a0d4a1f00acda2c463afbea67c5e8d2877c5e3bc397a659949ef8021e954e0a12274e')
pubkey = unhex('43ba28f430cdff456ae531545f7ecd0ac834a55d9358c0372bfa0c6c6798c0866aea01eb00742802b8438ea4cb82169c235160627b4c3a9480')
message = unhex('03')
signature = unhex('26b8f91727bd62897af15e41eb43c377efb9c610d48f2335cb0bd0087810f4352541b143c4b981b7e18f62de8ccdf633fc1bf037ab7cd779805e0dbcc0aae1cbcee1afb2e027df36bc04dcecbf154336c19f0af7e0a6472905e799f1953d2a0ff3348ab21aa4adafd1d234441cf807c03a00')
vector(privkey, pubkey, message, signature)
privkey = unhex('cd23d24f714274e744343237b93290f511f6425f98e64459ff203e8985083ffdf60500553abc0e05cd02184bdb89c4ccd67e187951267eb328')
pubkey = unhex('dcea9e78f35a1bf3499a831b10b86c90aac01cd84b67a0109b55a36e9328b1e365fce161d71ce7131a543ea4cb5f7e9f1d8b00696447001400')
message = unhex('0c3e544074ec63b0265e0c')
signature = unhex('1f0a8888ce25e8d458a21130879b840a9089d999aaba039eaf3e3afa090a09d389dba82c4ff2ae8ac5cdfb7c55e94d5d961a29fe0109941e00b8dbdeea6d3b051068df7254c0cdc129cbe62db2dc957dbb47b51fd3f213fb8698f064774250a5028961c9bf8ffd973fe5d5c206492b140e00')
vector(privkey, pubkey, message, signature)
privkey = unhex('258cdd4ada32ed9c9ff54e63756ae582fb8fab2ac721f2c8e676a72768513d939f63dddb55609133f29adf86ec9929dccb52c1c5fd2ff7e21b')
pubkey = unhex('3ba16da0c6f2cc1f30187740756f5e798d6bc5fc015d7c63cc9510ee3fd44adc24d8e968b6e46e6f94d19b945361726bd75e149ef09817f580')
message = unhex('64a65f3cdedcdd66811e2915')
signature = unhex('7eeeab7c4e50fb799b418ee5e3197ff6bf15d43a14c34389b59dd1a7b1b85b4ae90438aca634bea45e3a2695f1270f07fdcdf7c62b8efeaf00b45c2c96ba457eb1a8bf075a3db28e5c24f6b923ed4ad747c3c9e03c7079efb87cb110d3a99861e72003cbae6d6b8b827e4e6c143064ff3c00')
vector(privkey, pubkey, message, signature)
privkey = unhex('d65df341ad13e008567688baedda8e9dcdc17dc024974ea5b4227b6530e339bff21f99e68ca6968f3cca6dfe0fb9f4fab4fa135d5542ea3f01')
pubkey = unhex('df9705f58edbab802c7f8363cfe5560ab1c6132c20a9f1dd163483a26f8ac53a39d6808bf4a1dfbd261b099bb03b3fb50906cb28bd8a081f00')
message = unhex('bd0f6a3747cd561bdddf4640a332461a4a30a12a434cd0bf40d766d9c6d458e5512204a30c17d1f50b5079631f64eb3112182da3005835461113718d1a5ef944')
signature = unhex('554bc2480860b49eab8532d2a533b7d578ef473eeb58c98bb2d0e1ce488a98b18dfde9b9b90775e67f47d4a1c3482058efc9f40d2ca033a0801b63d45b3b722ef552bad3b4ccb667da350192b61c508cf7b6b5adadc2c8d9a446ef003fb05cba5f30e88e36ec2703b349ca229c2670833900')
vector(privkey, pubkey, message, signature)
privkey = unhex('2ec5fe3c17045abdb136a5e6a913e32ab75ae68b53d2fc149b77e504132d37569b7e766ba74a19bd6162343a21c8590aa9cebca9014c636df5')
pubkey = unhex('79756f014dcfe2079f5dd9e718be4171e2ef2486a08f25186f6bff43a9936b9bfe12402b08ae65798a3d81e22e9ec80e7690862ef3d4ed3a00')
message = unhex('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')
signature = unhex('c650ddbb0601c19ca11439e1640dd931f43c518ea5bea70d3dcde5f4191fe53f00cf966546b72bcc7d58be2b9badef28743954e3a44a23f880e8d4f1cfce2d7a61452d26da05896f0a50da66a239a8a188b6d825b3305ad77b73fbac0836ecc60987fd08527c1a8e80d5823e65cafe2a3d00')
vector(privkey, pubkey, message, signature)
privkey = unhex('872d093780f5d3730df7c212664b37b8a0f24f56810daa8382cd4fa3f77634ec44dc54f1c2ed9bea86fafb7632d8be199ea165f5ad55dd9ce8')
pubkey = unhex('a81b2e8a70a5ac94ffdbcc9badfc3feb0801f258578bb114ad44ece1ec0e799da08effb81c5d685c0c56f64eecaef8cdf11cc38737838cf400')
message = unhex('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')
signature = unhex('e301345a41a39a4d72fff8df69c98075a0cc082b802fc9b2b6bc503f926b65bddf7f4c8f1cb49f6396afc8a70abe6d8aef0db478d4c6b2970076c6a0484fe76d76b3a97625d79f1ce240e7c576750d295528286f719b413de9ada3e8eb78ed573603ce30d8bb761785dc30dbc320869e1a00')
vector(privkey, pubkey, message, signature)
def testMontgomeryKex(self):
# Unidirectional tests, consisting of an input random number
# string and peer public value, giving the expected output

View File

@ -323,3 +323,6 @@ ed25519 = TwistedEdwardsCurve(2**255-19, 0x52036cee2b6ffe738cc740797779e89800700
ed25519.G = ed25519.point(0x216936d3cd6e53fec0a4e231fdd6dc5c692cc7609525a7b2c9562d608f25d51a,0x6666666666666666666666666666666666666666666666666666666666666658)
ed25519.G_order = 0x1000000000000000000000000000000014def9dea2f79cd65812631a5cf5d3ed
ed448 = TwistedEdwardsCurve(2**448-2**224-1, -39081, +1)
ed448.G = ed448.point(0x4f1970c66bed0ded221d15a622bf36da9e146570470f1767ea6de324a3d3a46412ae1af72ab66511433b80e18b00938e2626a82bc70cc05e,0x693f46716eb6bc248876203756c9c7624bea73736ca3984087789c1e05a0c2d73ad3ff1ce67c39c4fdbd132c4ed7c8ad9808795bf230fa14)
ed448.G_order = 0x3fffffffffffffffffffffffffffffffffffffffffffffffffffffff7cca23e9c44edb49aed63690216cc2728dc58f552378c292ab5844f3