statement stringlengths 1 746 | proof stringlengths 0 19.5k | type stringclasses 7
values | symbolic_name stringlengths 1 36 | library stringclasses 13
values | filename stringclasses 70
values | imports listlengths 0 23 | deps listlengths 0 14 | docstring stringclasses 1
value | source_url stringclasses 1
value | commit stringclasses 1
value |
|---|---|---|---|---|---|---|---|---|---|---|
test8 | =
GCM_192_96_0_128::encrypt
{ key = 0x00000000000000000000000000000000 #
0x0000000000000000
, pt = 0x00000000000000000000000000000000
, iv = 0x000000000000000000000000
, aad = []
}
==
{ ct = 0x98e7247c07f0fe411c267e4384b0f600
, tag = 0x2ff58d80033927ab8ef4d4587514f0fb
} | property | test8 | examples.param_modules | examples/param_modules/GCM_AES_Tests.cry | [
"AES",
"AES",
"AES",
"Common::GCM",
"Common::GCM",
"Common::GCM",
"Common::GCM",
"Common::GCM",
"Common::GCM",
"Common::GCM",
"Common::GCM",
"Common::GCM",
"Common::GCM",
"Common::GCM",
"Common::GCM"
] | [
"=="
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
test9 | =
GCM_192_96_0_128::encrypt
{ key = 0xfeffe9928665731c6d6a8f9467308308 #
0xfeffe9928665731c
, pt = 0xd9313225f88406e5a55909c5aff5269a #
0x86a7a9531534f7da2e4c303d8a318a72 #
0x1c3c0c95956809532fcf0e2449a6b525 #
0xb16aedf5aa0de657ba637b391aafd255
, iv = 0xca... | property | test9 | examples.param_modules | examples/param_modules/GCM_AES_Tests.cry | [
"AES",
"AES",
"AES",
"Common::GCM",
"Common::GCM",
"Common::GCM",
"Common::GCM",
"Common::GCM",
"Common::GCM",
"Common::GCM",
"Common::GCM",
"Common::GCM",
"Common::GCM",
"Common::GCM",
"Common::GCM"
] | [
"=="
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
test10 | =
GCM_192_96_160_128::encrypt
{ key = 0xfeffe9928665731c6d6a8f9467308308 #
0xfeffe9928665731c
, pt = 0xd9313225f88406e5a55909c5aff5269a #
0x86a7a9531534f7da2e4c303d8a318a72 #
0x1c3c0c95956809532fcf0e2449a6b525 #
0xb16aedf5aa0de657ba637b39
, aad = 0xfeedface... | property | test10 | examples.param_modules | examples/param_modules/GCM_AES_Tests.cry | [
"AES",
"AES",
"AES",
"Common::GCM",
"Common::GCM",
"Common::GCM",
"Common::GCM",
"Common::GCM",
"Common::GCM",
"Common::GCM",
"Common::GCM",
"Common::GCM",
"Common::GCM",
"Common::GCM",
"Common::GCM"
] | [
"=="
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
test11 | =
GCM_192_64_160_128::encrypt
{ key = 0xfeffe9928665731c6d6a8f9467308308 #
0xfeffe9928665731c
, pt = 0xd9313225f88406e5a55909c5aff5269a #
0x86a7a9531534f7da2e4c303d8a318a72 #
0x1c3c0c95956809532fcf0e2449a6b525 #
0xb16aedf5aa0de657ba637b39
, aad = 0xfeedface... | property | test11 | examples.param_modules | examples/param_modules/GCM_AES_Tests.cry | [
"AES",
"AES",
"AES",
"Common::GCM",
"Common::GCM",
"Common::GCM",
"Common::GCM",
"Common::GCM",
"Common::GCM",
"Common::GCM",
"Common::GCM",
"Common::GCM",
"Common::GCM",
"Common::GCM",
"Common::GCM"
] | [
"=="
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
test12 | =
GCM_192_480_160_128::encrypt
{ key = 0xfeffe9928665731c6d6a8f9467308308 #
0xfeffe9928665731c
, pt = 0xd9313225f88406e5a55909c5aff5269a #
0x86a7a9531534f7da2e4c303d8a318a72 #
0x1c3c0c95956809532fcf0e2449a6b525 #
0xb16aedf5aa0de657ba637b39
, aad = 0xfeedfac... | property | test12 | examples.param_modules | examples/param_modules/GCM_AES_Tests.cry | [
"AES",
"AES",
"AES",
"Common::GCM",
"Common::GCM",
"Common::GCM",
"Common::GCM",
"Common::GCM",
"Common::GCM",
"Common::GCM",
"Common::GCM",
"Common::GCM",
"Common::GCM",
"Common::GCM",
"Common::GCM"
] | [
"=="
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
test13 | =
GCM_256_96_0_128::encrypt
{ key = 0x00000000000000000000000000000000 #
0x00000000000000000000000000000000
, pt = []
, iv = 0x000000000000000000000000
, aad = []
}
==
{ ct = []
, tag = 0x530f8afbc74536b9a963b4f1c4cb738b
} | property | test13 | examples.param_modules | examples/param_modules/GCM_AES_Tests.cry | [
"AES",
"AES",
"AES",
"Common::GCM",
"Common::GCM",
"Common::GCM",
"Common::GCM",
"Common::GCM",
"Common::GCM",
"Common::GCM",
"Common::GCM",
"Common::GCM",
"Common::GCM",
"Common::GCM",
"Common::GCM"
] | [
"=="
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
test14 | =
GCM_256_96_0_128::encrypt
{ key = 0x00000000000000000000000000000000 #
0x00000000000000000000000000000000
, pt = 0x00000000000000000000000000000000
, iv = 0x000000000000000000000000
, aad = []
}
==
{ ct = 0xcea7403d4d606b6e074ec5d3baf39d18
, tag = 0xd0d1c8a799996bf0265b98b5d... | property | test14 | examples.param_modules | examples/param_modules/GCM_AES_Tests.cry | [
"AES",
"AES",
"AES",
"Common::GCM",
"Common::GCM",
"Common::GCM",
"Common::GCM",
"Common::GCM",
"Common::GCM",
"Common::GCM",
"Common::GCM",
"Common::GCM",
"Common::GCM",
"Common::GCM",
"Common::GCM"
] | [
"=="
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
test15 | =
GCM_256_96_0_128::encrypt
{ key = 0xfeffe9928665731c6d6a8f9467308308 #
0xfeffe9928665731c6d6a8f9467308308
, pt = 0xd9313225f88406e5a55909c5aff5269a #
0x86a7a9531534f7da2e4c303d8a318a72 #
0x1c3c0c95956809532fcf0e2449a6b525 #
0xb16aedf5aa0de657ba637b391aafd255
... | property | test15 | examples.param_modules | examples/param_modules/GCM_AES_Tests.cry | [
"AES",
"AES",
"AES",
"Common::GCM",
"Common::GCM",
"Common::GCM",
"Common::GCM",
"Common::GCM",
"Common::GCM",
"Common::GCM",
"Common::GCM",
"Common::GCM",
"Common::GCM",
"Common::GCM",
"Common::GCM"
] | [
"=="
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
test16 | =
GCM_256_96_160_128::encrypt
{ key = 0xfeffe9928665731c6d6a8f9467308308 #
0xfeffe9928665731c6d6a8f9467308308
, pt = 0xd9313225f88406e5a55909c5aff5269a #
0x86a7a9531534f7da2e4c303d8a318a72 #
0x1c3c0c95956809532fcf0e2449a6b525 #
0xb16aedf5aa0de657ba637b39
, ... | property | test16 | examples.param_modules | examples/param_modules/GCM_AES_Tests.cry | [
"AES",
"AES",
"AES",
"Common::GCM",
"Common::GCM",
"Common::GCM",
"Common::GCM",
"Common::GCM",
"Common::GCM",
"Common::GCM",
"Common::GCM",
"Common::GCM",
"Common::GCM",
"Common::GCM",
"Common::GCM"
] | [
"=="
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
test17 | =
GCM_256_64_160_128::encrypt
{ key = 0xfeffe9928665731c6d6a8f9467308308 #
0xfeffe9928665731c6d6a8f9467308308
, pt = 0xd9313225f88406e5a55909c5aff5269a #
0x86a7a9531534f7da2e4c303d8a318a72 #
0x1c3c0c95956809532fcf0e2449a6b525 #
0xb16aedf5aa0de657ba637b39
, ... | property | test17 | examples.param_modules | examples/param_modules/GCM_AES_Tests.cry | [
"AES",
"AES",
"AES",
"Common::GCM",
"Common::GCM",
"Common::GCM",
"Common::GCM",
"Common::GCM",
"Common::GCM",
"Common::GCM",
"Common::GCM",
"Common::GCM",
"Common::GCM",
"Common::GCM",
"Common::GCM"
] | [
"=="
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
test18 | =
GCM_256_480_160_128::encrypt
{ key = 0xfeffe9928665731c6d6a8f9467308308 #
0xfeffe9928665731c6d6a8f9467308308
, pt = 0xd9313225f88406e5a55909c5aff5269a #
0x86a7a9531534f7da2e4c303d8a318a72 #
0x1c3c0c95956809532fcf0e2449a6b525 #
0xb16aedf5aa0de657ba637b39
,... | property | test18 | examples.param_modules | examples/param_modules/GCM_AES_Tests.cry | [
"AES",
"AES",
"AES",
"Common::GCM",
"Common::GCM",
"Common::GCM",
"Common::GCM",
"Common::GCM",
"Common::GCM",
"Common::GCM",
"Common::GCM",
"Common::GCM",
"Common::GCM",
"Common::GCM",
"Common::GCM"
] | [
"=="
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
katsPass | = ~zero == [test == kat | (test,kat) <- sha256tests ] | property | katsPass | examples.param_modules | examples/param_modules/SHA.cry | [
"SHA256"
] | [
"==",
"sha256tests"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
sha256 : {n} (64 >= width n) => [n] -> [256] | sha256 = SHA256::sha | function | sha256 | examples.param_modules | examples/param_modules/SHA.cry | [
"SHA256"
] | [
">=",
"width"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
sha256tests | =
[ (go "abcdbcdecdefdefgefghfghighijhijkijkljklmklmnlmnomnopnopq"
, 0x248d6a61d20638b8e5c026930c3e6039a33ce45964ff2167f6ecedd419db06c1
)
, (go ""
, 0xe3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855
)
, (go "abcdefghbcdefghicdefghijdefghijkefghijklfghijklmghijklmnhijklmnoi... | function | sha256tests | examples.param_modules | examples/param_modules/SHA.cry | [
"SHA256"
] | [
">=",
"join",
"sha256",
"width"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
w | = 32 | type | w | examples.param_modules | examples/param_modules/SHA256.cry | [] | [] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
j | = 64 | type | j | examples.param_modules | examples/param_modules/SHA256.cry | [] | [] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
H0 | = [ 0x6a09e667, 0xbb67ae85, 0x3c6ef372, 0xa54ff53a
, 0x510e527f, 0x9b05688c, 0x1f83d9ab, 0x5be0cd19
] | function | H0 | examples.param_modules | examples/param_modules/SHA256.cry | [] | [] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
K | = [ 0x428a2f98, 0x71374491, 0xb5c0fbcf, 0xe9b5dba5
, 0x3956c25b, 0x59f111f1, 0x923f82a4, 0xab1c5ed5
, 0xd807aa98, 0x12835b01, 0x243185be, 0x550c7dc3
, 0x72be5d74, 0x80deb1fe, 0x9bdc06a7, 0xc19bf174
, 0xe49b69c1, 0xefbe4786, 0x0fc19dc6, 0x240ca1cc
, 0x2de92c6f, 0x4a7484aa, 0x5cb0a9dc, 0x76f988da
... | function | K | examples.param_modules | examples/param_modules/SHA256.cry | [] | [] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
SIGMA_0 x | = (x >>> 2) ^ (x >>> 13) ^ (x >>> 22) | function | SIGMA_0 | examples.param_modules | examples/param_modules/SHA256.cry | [] | [
">>>"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
SIGMA_1 x | = (x >>> 6) ^ (x >>> 11) ^ (x >>> 25) | function | SIGMA_1 | examples.param_modules | examples/param_modules/SHA256.cry | [] | [
">>>"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
sigma_0 x | = (x >>> 7) ^ (x >>> 18) ^ (x >> 3) | function | sigma_0 | examples.param_modules | examples/param_modules/SHA256.cry | [] | [
">>",
">>>"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
sigma_1 x | = (x >>> 17) ^ (x >>> 19) ^ (x >> 10) | function | sigma_1 | examples.param_modules | examples/param_modules/SHA256.cry | [] | [
">>",
">>>"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
Nk | = 4 + 2 * Mode
/** Number of rounds */ | type | Nk | examples.param_modules.AES | examples/param_modules/AES/Algorithm.cry | [
"AES::State",
"AES::Round"
] | [
"Mode"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
Nr | = 6 + Nk
/** Key size in bits */ | type | Nr | examples.param_modules.AES | examples/param_modules/AES/Algorithm.cry | [
"AES::State",
"AES::Round"
] | [
"Nk"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
AESKeySize | = 32 * Nk
/** The keys for all the rounds */ | type | AESKeySize | examples.param_modules.AES | examples/param_modules/AES/Algorithm.cry | [
"AES::State",
"AES::Round"
] | [
"Nk"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
KeySchedule | = (RoundKey, [Nr-1]RoundKey, RoundKey)
/** AES Encryption with an expanded key.
This is useful if many things will be encrypted with the same key. */ | type | KeySchedule | examples.param_modules.AES | examples/param_modules/AES/Algorithm.cry | [
"AES::State",
"AES::Round"
] | [
"RoundKey"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
encrypt : KeySchedule -> [128] -> [128] | encrypt (kInit,ks,kFinal) pt =
stateToMsg (AESFinalRound kFinal (rounds ! 0))
where
state0 = kInit ^ msgToState pt
rounds = [state0] # [ encRound rk s | rk <- ks | s <- rounds ]
/** AES decryption with an expanded key.
This is useful if many things will be decrypted with the same key.... | function | encrypt | examples.param_modules.AES | examples/param_modules/AES/Algorithm.cry | [
"AES::State",
"AES::Round"
] | [
"AESFinalRound",
"KeySchedule",
"ks",
"msgToState",
"stateToMsg"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
decrypt : KeySchedule -> [128] -> [128] | decrypt (kInit, ks, kFinal) ct =
stateToMsg (AESFinalInvRound kFinal (rounds ! 0))
where
state0 = kInit ^ msgToState ct
rounds = [state0] # [ decRound rk s | rk <- ks | s <- rounds ] | function | decrypt | examples.param_modules.AES | examples/param_modules/AES/Algorithm.cry | [
"AES::State",
"AES::Round"
] | [
"AESFinalInvRound",
"KeySchedule",
"ks",
"msgToState",
"stateToMsg"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
Nk : # | type | Nk | examples.param_modules.AES | examples/param_modules/AES/ExpandKey.cry | [
"AES::GF28",
"AES::State",
"AES::SubByteSBox"
] | [] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | ||
(8 >= width Nk, Nk >= 1)
/** Number of rounds */ | type constraint | width | examples.param_modules.AES | examples/param_modules/AES/ExpandKey.cry | [
"AES::GF28",
"AES::State",
"AES::SubByteSBox"
] | [
">=",
"Nk",
"width"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | ||
Nr : # | type | Nr | examples.param_modules.AES | examples/param_modules/AES/ExpandKey.cry | [
"AES::GF28",
"AES::State",
"AES::SubByteSBox"
] | [] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | ||
(8 >= width Nr, Nr >= 2) | type constraint | width | examples.param_modules.AES | examples/param_modules/AES/ExpandKey.cry | [
"AES::GF28",
"AES::State",
"AES::SubByteSBox"
] | [
">=",
"Nr",
"width"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | ||
expandKey : [32 * Nk] -> (RoundKey, [Nr-1]RoundKey, RoundKey) | expandKey key = ( keys @ 0
, keys @@ ([1 .. (Nr - 1)] : [_][8])
, keys @ (`Nr : [8])
)
where seed : [Nk][4][8]
seed = split (split key)
keys = expandKeyForever seed | function | expandKey | examples.param_modules.AES | examples/param_modules/AES/ExpandKey.cry | [
"AES::GF28",
"AES::State",
"AES::SubByteSBox"
] | [
"Nr",
"RoundKey",
"expandKeyForever",
"split"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
expandKeyForever : [Nk][4][8] -> [inf]RoundKey | expandKeyForever seed = [ transpose g | g <- split (keyWS seed) ] | function | expandKeyForever | examples.param_modules.AES | examples/param_modules/AES/ExpandKey.cry | [
"AES::GF28",
"AES::State",
"AES::SubByteSBox"
] | [
"keyWS",
"split",
"transpose"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
keyWS : [Nk][4][8] -> [inf][4][8] | keyWS seed = xs
where xs = seed # [ NextWord i prev old
| i <- [ `Nk ... ]
| prev <- drop`{Nk-1} xs
| old <- xs
]
// Key expansion | function | keyWS | examples.param_modules.AES | examples/param_modules/AES/ExpandKey.cry | [
"AES::GF28",
"AES::State",
"AES::SubByteSBox"
] | [
"NextWord",
"xs"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
Rcon : [8] -> [4]GF28 | Rcon i = [ gf28Pow <| x |> (i-1), 0, 0, 0] | function | Rcon | examples.param_modules.AES | examples/param_modules/AES/ExpandKey.cry | [
"AES::GF28",
"AES::State",
"AES::SubByteSBox"
] | [
"gf28Pow"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
SubWord : [4]GF28 -> [4]GF28 | SubWord bs = [ SubByte b | b <- bs ] | function | SubWord | examples.param_modules.AES | examples/param_modules/AES/ExpandKey.cry | [
"AES::GF28",
"AES::State",
"AES::SubByteSBox"
] | [
"SubByte"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
NextWord : [8] ->[4][8] -> [4][8] -> [4][8] | NextWord i prev old = old ^ mask
where mask = if i % nk == 0
then SubWord (RotWord(prev)) ^ Rcon (i / `Nk)
else if (nk > 6) && (i % nk == 4)
then SubWord prev
else prev
nk = `Nk : [8] | function | NextWord | examples.param_modules.AES | examples/param_modules/AES/ExpandKey.cry | [
"AES::GF28",
"AES::State",
"AES::SubByteSBox"
] | [
"&&",
"==",
"Rcon",
"RotWord",
"SubWord"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
GF28 | = [8]
/** The irreducable polynomial */ | type | GF28 | examples.param_modules.AES | examples/param_modules/AES/GF28.cry | [] | [] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
gf28Add : {n} (fin n) => [n]GF28 -> GF28 | gf28Add ps = sums ! 0
where sums = [zero] # [ p ^ s | p <- ps | s <- sums ]
/** Multiply two GF28 values */ | function | gf28Add | examples.param_modules.AES | examples/param_modules/AES/GF28.cry | [] | [
"GF28",
"fin",
"sums"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
gf28Mult : GF28 -> GF28 -> GF28 | gf28Mult x y = pmod (pmult x y) irreducible
/** A GF28 value to a scalar power */ | function | gf28Mult | examples.param_modules.AES | examples/param_modules/AES/GF28.cry | [] | [
"GF28",
"irreducible",
"pmod",
"pmult"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
gf28Pow : GF28 -> [8] -> GF28 | gf28Pow n k = pow k
where sq x = gf28Mult x x
odd x = x ! 0
pow i = if i == 0 then 1
else if odd i
then gf28Mult n (sq (pow (i >> 1)))
else sq (pow (i >> 1))
/** Compute the inverse of a value */ | function | gf28Pow | examples.param_modules.AES | examples/param_modules/AES/GF28.cry | [] | [
"==",
">>",
"GF28",
"gf28Mult"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
gf28Inverse : GF28 -> GF28 | gf28Inverse x = gf28Pow x 254
/** Dot product of two vectors */ | function | gf28Inverse | examples.param_modules.AES | examples/param_modules/AES/GF28.cry | [] | [
"GF28",
"gf28Pow"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
gf28DotProduct : {n} (fin n) => [n]GF28 -> [n]GF28 -> GF28 | gf28DotProduct xs ys = gf28Add [ gf28Mult x y | x <- xs | y <- ys ]
/** Multiply a matrix by a vector */ | function | gf28DotProduct | examples.param_modules.AES | examples/param_modules/AES/GF28.cry | [] | [
"GF28",
"fin",
"gf28Add",
"gf28Mult",
"xs"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
gf28VectorMult : {n, m} (fin n) => [n]GF28 -> [m][n]GF28 -> [m]GF28 | gf28VectorMult v ms = [ gf28DotProduct v m | m <- ms ]
/** Multiply two matrices */ | function | gf28VectorMult | examples.param_modules.AES | examples/param_modules/AES/GF28.cry | [] | [
"fin",
"gf28DotProduct"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
gf28MatrixMult : {n, m, k} (fin m) => [n][m]GF28 -> [m][k]GF28 -> [n][k]GF28 | gf28MatrixMult xss yss = [ gf28VectorMult xs yss' | xs <- xss ]
where yss' = transpose yss | function | gf28MatrixMult | examples.param_modules.AES | examples/param_modules/AES/GF28.cry | [] | [
"fin",
"gf28VectorMult",
"transpose",
"xs"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
irreducible | = <| x^^8 + x^^4 + x^^3 + x + 1 |>
/** Sum up a bunch of GF28 values */ | function | irreducible | examples.param_modules.AES | examples/param_modules/AES/GF28.cry | [] | [] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
AESRound : RoundKey -> State -> State | AESRound rk s = rk ^ MixColumns (ShiftRows (SubBytes s)) | function | AESRound | examples.param_modules.AES | examples/param_modules/AES/Round.cry | [
"AES::GF28",
"AES::State",
"AES::SubByteSBox"
] | [
"MixColumns",
"RoundKey",
"ShiftRows",
"State",
"SubBytes"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
SubBytes : State -> State | SubBytes state = [ [ SubByte b | b <- row ] | row <- state ] | function | SubBytes | examples.param_modules.AES | examples/param_modules/AES/Round.cry | [
"AES::GF28",
"AES::State",
"AES::SubByteSBox"
] | [
"State",
"SubByte"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
ShiftRows : State -> State | ShiftRows state = [ row <<< i | row <- state | i : [2] <- [0 .. 3] ] | function | ShiftRows | examples.param_modules.AES | examples/param_modules/AES/Round.cry | [
"AES::GF28",
"AES::State",
"AES::SubByteSBox"
] | [
"<<<",
"State"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
MixColumns : State -> State | MixColumns state = gf28MatrixMult m state
where m = [ [2,3,1,1] >>> i | i <- [0 .. 3] ]
/** The final AES round */ | function | MixColumns | examples.param_modules.AES | examples/param_modules/AES/Round.cry | [
"AES::GF28",
"AES::State",
"AES::SubByteSBox"
] | [
">>>",
"State",
"gf28MatrixMult"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
AESFinalRound : RoundKey -> State -> State | AESFinalRound rk s = rk ^ ShiftRows (SubBytes s)
/** One inverse round of AES */ | function | AESFinalRound | examples.param_modules.AES | examples/param_modules/AES/Round.cry | [
"AES::GF28",
"AES::State",
"AES::SubByteSBox"
] | [
"RoundKey",
"ShiftRows",
"State",
"SubBytes"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
AESInvRound : RoundKey -> State -> State | AESInvRound rk s = InvMixColumns (rk ^ InvSubBytes (InvShiftRows s)) | function | AESInvRound | examples.param_modules.AES | examples/param_modules/AES/Round.cry | [
"AES::GF28",
"AES::State",
"AES::SubByteSBox"
] | [
"InvMixColumns",
"InvShiftRows",
"InvSubBytes",
"RoundKey",
"State"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
InvSubBytes : State -> State | InvSubBytes state = [ [ InvSubByte b | b <- row ] | row <- state ] | function | InvSubBytes | examples.param_modules.AES | examples/param_modules/AES/Round.cry | [
"AES::GF28",
"AES::State",
"AES::SubByteSBox"
] | [
"InvSubByte",
"State"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
InvShiftRows : State -> State | InvShiftRows state = [ row >>> shiftAmount | row <- state
| shiftAmount : [2] <- [0 .. 3]
] | function | InvShiftRows | examples.param_modules.AES | examples/param_modules/AES/Round.cry | [
"AES::GF28",
"AES::State",
"AES::SubByteSBox"
] | [
">>>",
"State"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
InvMixColumns : State -> State | InvMixColumns state = gf28MatrixMult m state
where m = [[0x0e, 0x0b, 0x0d, 0x09] >>> i | i <- [0 .. 3] ]
/** The final inverted AES round */ | function | InvMixColumns | examples.param_modules.AES | examples/param_modules/AES/Round.cry | [
"AES::GF28",
"AES::State",
"AES::SubByteSBox"
] | [
">>>",
"State",
"gf28MatrixMult"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
AESFinalInvRound : RoundKey -> State -> State | AESFinalInvRound rk s = rk ^ InvSubBytes (InvShiftRows s) | function | AESFinalInvRound | examples.param_modules.AES | examples/param_modules/AES/Round.cry | [
"AES::GF28",
"AES::State",
"AES::SubByteSBox"
] | [
"InvShiftRows",
"InvSubBytes",
"RoundKey",
"State"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
SBox | = [256] GF28 | type | SBox | examples.param_modules.AES | examples/param_modules/AES/SBox.cry | [
"AES::GF28",
"AES::SubBytePlain"
] | [
"GF28"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
sbox : SBox | sbox = [ SubByte x | x <- [0 .. 255] ] | function | sbox | examples.param_modules.AES | examples/param_modules/AES/SBox.cry | [
"AES::GF28",
"AES::SubBytePlain"
] | [
"SBox",
"SubByte"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
sboxInv : SBox | sboxInv = [ InvSubByte x | x <- [0 .. 255] ] | function | sboxInv | examples.param_modules.AES | examples/param_modules/AES/SBox.cry | [
"AES::GF28",
"AES::SubBytePlain"
] | [
"InvSubByte",
"SBox"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
Nb | = 4 | type | Nb | examples.param_modules.AES | examples/param_modules/AES/State.cry | [
"AES::GF28"
] | [] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
stateToMsg : State -> [128] | stateToMsg st = join (join (transpose st)) | function | stateToMsg | examples.param_modules.AES | examples/param_modules/AES/State.cry | [
"AES::GF28"
] | [
"State",
"join",
"transpose"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
InvSubByte : GF28 -> GF28 | InvSubByte b = gf28Inverse (xformByte' b)
// The affine transform and its inverse | function | InvSubByte | examples.param_modules.AES | examples/param_modules/AES/SubBytePlain.cry | [
"AES::GF28"
] | [
"GF28",
"gf28Inverse",
"xformByte'"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
xformByte' : GF28 -> GF28 | xformByte' b = gf28Add [(b >>> 2), (b >>> 5), (b >>> 7), d] where d = 0x05 | function | xformByte' | examples.param_modules.AES | examples/param_modules/AES/SubBytePlain.cry | [
"AES::GF28"
] | [
">>>",
"GF28",
"gf28Add"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
SubByte : GF28 -> GF28 | SubByte b = sbox @ b | function | SubByte | examples.param_modules.AES | examples/param_modules/AES/SubByteSBox.cry | [
"AES::GF28",
"AES::SBox"
] | [
"GF28",
"sbox"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
InvSubByte : GF28 -> GF28 | InvSubByte b = sboxInv @ b | function | InvSubByte | examples.param_modules.AES | examples/param_modules/AES/SubByteSBox.cry | [
"AES::GF28",
"AES::SBox"
] | [
"GF28",
"sboxInv"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
TBox | = [4][256][4]GF28 | type | TBox | examples.param_modules.AES | examples/param_modules/AES/TBox.cry | [
"AES::GF28",
"AES::State",
"AES::SBox",
"AES::Round"
] | [] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
genRound : (State -> State) -> TBox -> RoundKey -> State -> State | genRound shift boxes rk st =
rk ^ transpose [ add [ box @ i | box <- boxes | i <- col ]
| col <- transpose (shift st) ]
where add [ a, b, c, d ] = a ^ b ^ c ^ d
// Computing the TBoxes | function | genRound | examples.param_modules.AES | examples/param_modules/AES/TBox.cry | [
"AES::GF28",
"AES::State",
"AES::SBox",
"AES::Round"
] | [
"RoundKey",
"State",
"TBox",
"transpose"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
tbox : TBox | tbox = mkTBox [ 0x02, 0x01, 0x01, 0x03 ] sbox | function | tbox | examples.param_modules.AES | examples/param_modules/AES/TBox.cry | [
"AES::GF28",
"AES::State",
"AES::SBox",
"AES::Round"
] | [
"TBox",
"mkTBox",
"sbox"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
tboxInv : TBox | tboxInv = mkTBox [ 0x0e, 0x09, 0x0d, 0x0b ] sboxInv | function | tboxInv | examples.param_modules.AES | examples/param_modules/AES/TBox.cry | [
"AES::GF28",
"AES::State",
"AES::SBox",
"AES::Round"
] | [
"TBox",
"mkTBox",
"sboxInv"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
mkTBox : [4]GF28 -> SBox -> TBox | mkTBox seed box = [ [ a >>> i | a <- t0 ] | i <- [0 .. 3] ]
where
t0 = [ [ gf28Mult c s | c <- seed ] | s <- box ] | function | mkTBox | examples.param_modules.AES | examples/param_modules/AES/TBox.cry | [
"AES::GF28",
"AES::State",
"AES::SBox",
"AES::Round"
] | [
">>>",
"SBox",
"TBox",
"gf28Mult"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
AESRound rk st | = genRound ShiftRows tbox rk st
// AESInvRound rk st = genRound InvShiftRows tboxInv (InvMixColumns rk) st | function | AESRound | examples.param_modules.AES | examples/param_modules/AES/TBox.cry | [
"AES::GF28",
"AES::State",
"AES::SBox",
"AES::Round"
] | [
"ShiftRows",
"genRound",
"tbox"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
AESInvRound rk st | = genRound InvShiftRows tboxInv rk st | function | AESInvRound | examples.param_modules.AES | examples/param_modules/AES/TBox.cry | [
"AES::GF28",
"AES::State",
"AES::SBox",
"AES::Round"
] | [
"InvShiftRows",
"genRound",
"tboxInv"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
makeDecKey (a,xs,b) | = (b, [ InvMixColumns rk | rk <- reverse xs ], a) | function | makeDecKey | examples.param_modules.AES | examples/param_modules/AES/TBox.cry | [
"AES::GF28",
"AES::State",
"AES::SBox",
"AES::Round"
] | [
"InvMixColumns",
"reverse",
"xs"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
Mode : # | type | Mode | examples.param_modules.Common | examples/param_modules/Common/AES_GCM_SIV.cry | [
"AES"
] | [] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | ||
(1 >= Mode) | type constraint | Mode | examples.param_modules.Common | examples/param_modules/Common/AES_GCM_SIV.cry | [
"AES"
] | [
">=",
"Mode"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | ||
AAD : # | type | AAD | examples.param_modules.Common | examples/param_modules/Common/AES_GCM_SIV.cry | [
"AES"
] | [] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | ||
( (36 + 8) >= width AAD ) | type constraint | width | examples.param_modules.Common | examples/param_modules/Common/AES_GCM_SIV.cry | [
"AES"
] | [
">=",
"AAD",
"width"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | ||
K | = 128 + 128 * Mode | type | K | examples.param_modules.Common | examples/param_modules/Common/AES_GCM_SIV.cry | [
"AES"
] | [
"Mode"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
KS | = AES::EncKey
/** Note the weird byte-swapping business (also in `blockify` and `unblockify`)
It is not quite clear in what format we want the inputs/outputs, but we
do the swapping so that inputs/ouputs match the test vectors at
https://tools.ietf.org/html/draft-irtf-cfrg-gcmsiv-06
*/ | type | KS | examples.param_modules.Common | examples/param_modules/Common/AES_GCM_SIV.cry | [
"AES"
] | [] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
aes_gcm_siv :
{n} ((36 + 8) >= width n) =>
{ key : [K]
, nonce : [96]
, aad : [AAD]
, msg : [n]
} -> [n + 128] | aes_gcm_siv input = c # byteSwap t
where
(c,t) = gcm_siv_plus (derive_key k' n') n' input.aad input.msg
k' = byteSwap input.key
n' = byteSwap input.nonce | function | aes_gcm_siv | examples.param_modules.Common | examples/param_modules/Common/AES_GCM_SIV.cry | [
"AES"
] | [
">=",
"byteSwap",
"derive_key",
"gcm_siv_plus",
"width"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
aes : KS -> [128] -> [128] | aes ks v = byteSwap (AES::encryptWithSchedule ks (byteSwap v)) | function | aes | examples.param_modules.Common | examples/param_modules/Common/AES_GCM_SIV.cry | [
"AES"
] | [
"KS",
"byteSwap",
"ks"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
expandKey : [K] -> KS | expandKey k = AES::expandKeyEnc (byteSwap k)
/** See Figure 2 in Section 4 */ | function | expandKey | examples.param_modules.Common | examples/param_modules/Common/AES_GCM_SIV.cry | [
"AES"
] | [
"KS",
"byteSwap"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
derive_key : [K] -> [96] -> ([128], KS) | derive_key K N = (mkKey parts1, expandKey (mkKey parts2))
where
parts1 # parts2 = [ drop (aes (expandKey K) (N # i)) | i <- take [ 0 ... ] ]
mkKey : {n} (fin n) => [n][64] -> [64 * n]
mkKey xs = join (reverse xs)
/** See Figure 1 in Section 3 */ | function | derive_key | examples.param_modules.Common | examples/param_modules/Common/AES_GCM_SIV.cry | [
"AES"
] | [
"KS",
"aes",
"drop",
"expandKey",
"fin",
"join",
"reverse",
"take",
"xs"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
gcm_siv_plus :
{n} (64 >= width n) => ([128], KS) -> [96] -> [AAD] -> [n] -> ([n],[128]) | gcm_siv_plus (K1,K2) N AAD MSG = (unblockify Cs,TAG)
where
TAG = aes K2 (0b0 # drop (T ^ (0 # N)))
T = polyvalFrom K1 (A # M # [msg_len # aad_len]) 0
A = blockify AAD
M = blockify MSG
aad_len = `AAD : [64]
msg_len = `n : [64]
_ # tUpper # tLower = TAG
Cs = counter_mode K2 (0... | function | gcm_siv_plus | examples.param_modules.Common | examples/param_modules/Common/AES_GCM_SIV.cry | [
"AES"
] | [
">=",
"AAD",
"KS",
"aes",
"blockify",
"counter_mode",
"drop",
"polyvalFrom",
"unblockify",
"width"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
counter_mode : {n} KS -> ([96],[32]) -> [n][128] -> [n][128] | counter_mode K2 (tUpper,tLower) M =
[ aes K2 (tUpper # lower32 i) ^ m | m <- M | i <- [ 0 ... ] ]
where
lower32 i = tLower + i
/** See Section 2.2 */ | function | counter_mode | examples.param_modules.Common | examples/param_modules/Common/AES_GCM_SIV.cry | [
"AES"
] | [
"KS",
"aes"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
polyvalFrom : {n} (fin n) => [128] -> [n][128] -> [128] -> [128] | polyvalFrom H Xs start = psums ! 0
where psums = [start] # [ dot (s ^ x) H | s <- psums | x <- Xs ] | function | polyvalFrom | examples.param_modules.Common | examples/param_modules/Common/AES_GCM_SIV.cry | [
"AES"
] | [
"dot",
"fin",
"start"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
dot : [128] -> [128] -> [128] | dot x y = mult x (mult y x_neg_128)
where x_neg_128 = <| 1 + x^^114 + x^^121 + x^^124 + x^^127 |>
// This is x^(-128) | function | dot | examples.param_modules.Common | examples/param_modules/Common/AES_GCM_SIV.cry | [
"AES"
] | [
"mult"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
mult : [128] -> [128] -> [128] | mult x y = pmod (pmult x y) irred
where
irred = <| 1 + x^^121 + x^^126 + x^^127 + x^^128 |>
// ----------------------------------------------------------------------------- | function | mult | examples.param_modules.Common | examples/param_modules/Common/AES_GCM_SIV.cry | [
"AES"
] | [
"pmod",
"pmult"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
blockify : {n} (fin n) => [n] -> [n /^ 128][128] | blockify x = [ byteSwap b | b <- split (x # zero) ] | function | blockify | examples.param_modules.Common | examples/param_modules/Common/AES_GCM_SIV.cry | [
"AES"
] | [
"byteSwap",
"fin",
"split",
"zero"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
unblockify : {n} (fin n) => [n /^ 128][128] -> [n] | unblockify xs = take (join [ byteSwap b | b <- xs ])
// The spec uses byte-oriented little-endian representations.
// This function changes back and forth. | function | unblockify | examples.param_modules.Common | examples/param_modules/Common/AES_GCM_SIV.cry | [
"AES"
] | [
"byteSwap",
"fin",
"join",
"take",
"xs"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
byteSwap : {n} (fin n) => [8 * n] -> [8 * n] | byteSwap xs = join (reverse (split`{each=8} xs)) | function | byteSwap | examples.param_modules.Common | examples/param_modules/Common/AES_GCM_SIV.cry | [
"AES"
] | [
"fin",
"join",
"reverse",
"xs"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
K : # | type | K | examples.param_modules.Common | examples/param_modules/Common/GCM.cry | [] | [] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | ||
(fin K)
/** Size of initialization vector */ | type constraint | fin | examples.param_modules.Common | examples/param_modules/Common/GCM.cry | [] | [
"fin"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | ||
IV : # | type | IV | examples.param_modules.Common | examples/param_modules/Common/GCM.cry | [] | [] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | ||
(64 >= width IV, IV >= 1)
/** Size of additional authenticated data */ | type constraint | width | examples.param_modules.Common | examples/param_modules/Common/GCM.cry | [] | [
">=",
"IV",
"width"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | ||
AAD : # | type | AAD | examples.param_modules.Common | examples/param_modules/Common/GCM.cry | [] | [] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | ||
(64 >= width AAD)
/** Size of authentication tag */ | type constraint | width | examples.param_modules.Common | examples/param_modules/Common/GCM.cry | [] | [
">=",
"AAD",
"width"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | ||
T : # | type | T | examples.param_modules.Common | examples/param_modules/Common/GCM.cry | [] | [] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | ||
(128 >= T, T >= 64)
/** Block encryption function */ | type constraint | T | examples.param_modules.Common | examples/param_modules/Common/GCM.cry | [] | [
">="
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb |
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