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Merge pull request #878 from GaloisInc/accel-sha2
Accelerated AES and SHA2 implementations
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module SuiteB where | ||
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/***** AES ******/ | ||
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/** | ||
* Key schedule parameter setting for AES-128 | ||
*/ | ||
type AES128 = 4 | ||
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/** | ||
* Key schedule parameter setting for AES-192 | ||
*/ | ||
type AES192 = 6 | ||
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/** | ||
* Key schedule parameter setting for AES-256 | ||
*/ | ||
type AES256 = 8 | ||
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/** | ||
* Element of an AES key schedule for use in a particular round | ||
*/ | ||
type AESRoundKey = [4][32] | ||
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/** | ||
* Expanded encryption key schedule for AES | ||
*/ | ||
type AESEncryptKeySchedule k = | ||
{ aesEncInitialKey : AESRoundKey | ||
, aesEncRoundKeys : [k+5]AESRoundKey | ||
, aesEncFinalKey : AESRoundKey | ||
} | ||
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/** | ||
* Expanded decryption key schedule for AES | ||
*/ | ||
type AESDecryptKeySchedule k = | ||
{ aesDecInitialKey : AESRoundKey | ||
, aesDecRoundKeys : [k+5]AESRoundKey | ||
, aesDecFinalKey : AESRoundKey | ||
} | ||
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/** | ||
* Encryption key expansion for AES-128. | ||
* See FIPS 197, section 5.2. | ||
*/ | ||
aes128EncryptSchedule : [128] -> AESEncryptKeySchedule AES128 | ||
aes128EncryptSchedule = aesExpandEncryptSchedule | ||
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/** | ||
* Decryption key expansion for AES-128, for use in the "equivalent inverse cypher". | ||
* See FIPS 197, sections 5.2 and 5.3.5. | ||
*/ | ||
aes128DecryptSchedule : [128] -> AESDecryptKeySchedule AES128 | ||
aes128DecryptSchedule = aesExpandDecryptSchedule | ||
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/** | ||
* Encryption and decryption key schedules for AES-128. | ||
* If you will need both schedules, it is slightly more efficient | ||
* to call this function than to compute the two schedules separately. | ||
* See FIPS 197, sections 5.2 and 5.3.5. | ||
*/ | ||
aes128Schedules : [128] -> (AESEncryptKeySchedule AES128, AESDecryptKeySchedule AES128) | ||
aes128Schedules = aesExpandSchedules | ||
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/** | ||
* Encryption key expansion for AES-192. | ||
* See FIPS 197, section 5.2. | ||
*/ | ||
aes192EncryptSchedule : [192] -> AESEncryptKeySchedule AES192 | ||
aes192EncryptSchedule = aesExpandEncryptSchedule | ||
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/** | ||
* Decryption key expansion for AES-192, for use in the "equivalent inverse cypher". | ||
* See FIPS 197, sections 5.2 and 5.3.5. | ||
*/ | ||
aes192DecryptSchedule : [192] -> AESDecryptKeySchedule AES192 | ||
aes192DecryptSchedule = aesExpandDecryptSchedule | ||
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/** | ||
* Encryption and decryption key schedules for AES-192. | ||
* If you will need both schedules, it is slightly more efficient | ||
* to call this function than to compute the two schedules separately. | ||
* See FIPS 197, sections 5.2 and 5.3.5. | ||
*/ | ||
aes192Schedules : [192] -> (AESEncryptKeySchedule AES192, AESDecryptKeySchedule AES192) | ||
aes192Schedules = aesExpandSchedules | ||
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/** | ||
* Encryption key expansion for AES-256. | ||
* See FIPS 197, section 5.2 | ||
*/ | ||
aes256EncryptSchedule : [256] -> AESEncryptKeySchedule AES256 | ||
aes256EncryptSchedule = aesExpandEncryptSchedule | ||
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/** | ||
* Decryption key expansion for AES-256, for use in the "equivalent inverse cypher". | ||
* See FIPS 197, sections 5.2 and 5.3.5. | ||
*/ | ||
aes256DecryptSchedule : [256] -> AESDecryptKeySchedule AES256 | ||
aes256DecryptSchedule = aesExpandDecryptSchedule | ||
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/** | ||
* Encryption and decryption key schedules for AES-256. | ||
* If you will need both schedules, it is slightly more efficient | ||
* to call this function than to compute the two schedules separately. | ||
* See FIPS 197, sections 5.2 and 5.3.5. | ||
*/ | ||
aes256Schedules : [256] -> (AESEncryptKeySchedule AES256, AESDecryptKeySchedule AES256) | ||
aes256Schedules = aesExpandSchedules | ||
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/** | ||
* AES block encryption algorithm. | ||
* See FIPS 197, section 5.1. | ||
*/ | ||
aesEncryptBlock : {k} (fin k) => AESEncryptKeySchedule k -> [128] -> [128] | ||
aesEncryptBlock schedule plaintext = rnf (join final) | ||
where | ||
final = (AESEncFinalRound (rds!0)) ^ schedule.aesEncFinalKey | ||
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rds = [ schedule.aesEncInitialKey ^ split plaintext ] # | ||
[ AESEncRound r ^ rdk | ||
| rdk <- schedule.aesEncRoundKeys | ||
| r <- rds | ||
] | ||
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/** | ||
* AES block decryption algorithm, via the "equivalent inverse cypher". | ||
* See FIPS 197, section 5.3.5. | ||
*/ | ||
aesDecryptBlock : {k} (fin k) => AESDecryptKeySchedule k -> [128] -> [128] | ||
aesDecryptBlock schedule cyphertext = rnf (join final) | ||
where | ||
final = (AESDecFinalRound (rds!0)) ^ schedule.aesDecFinalKey | ||
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rds = [ split cyphertext ^ schedule.aesDecInitialKey ] # | ||
[ AESDecRound r ^ rdk | ||
| rdk <- schedule.aesDecRoundKeys | ||
| r <- rds | ||
] | ||
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private | ||
aesExpandEncryptSchedule : {k} (fin k, k >= 4, 8 >= k) => [k * 32] -> AESEncryptKeySchedule k | ||
aesExpandEncryptSchedule key = rnf | ||
{ aesEncInitialKey = ks @ 0 | ||
, aesEncRoundKeys = ks @@ [ 1 .. k+5 ] | ||
, aesEncFinalKey = ks @ `(k+6) | ||
} | ||
where | ||
ks : [k+7]AESRoundKey | ||
ks = groupBy`{4} (AESKeyExpand`{k} (split key)) | ||
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aesEncToDecSchedule : {k} (fin k) => AESEncryptKeySchedule k -> AESDecryptKeySchedule k | ||
aesEncToDecSchedule enc = rnf | ||
{ aesDecInitialKey = enc.aesEncFinalKey | ||
, aesDecRoundKeys = map AESInvMixColumns (reverse (enc.aesEncRoundKeys)) | ||
, aesDecFinalKey = enc.aesEncInitialKey | ||
} | ||
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aesExpandDecryptSchedule : {k} (fin k, k >= 4, 8 >= k) => [k * 32] -> AESDecryptKeySchedule k | ||
aesExpandDecryptSchedule key = aesEncToDecSchedule (aesExpandEncryptSchedule key) | ||
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aesExpandSchedules : {k} (fin k, k >= 4, 8 >= k) => [k * 32] -> (AESEncryptKeySchedule k, AESDecryptKeySchedule k) | ||
aesExpandSchedules key = (encS, aesEncToDecSchedule encS) | ||
where encS = aesExpandEncryptSchedule key | ||
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primitive AESEncRound : [4][32] -> [4][32] | ||
primitive AESEncFinalRound : [4][32] -> [4][32] | ||
primitive AESDecRound : [4][32] -> [4][32] | ||
primitive AESDecFinalRound : [4][32] -> [4][32] | ||
primitive AESInvMixColumns : [4][32] -> [4][32] | ||
primitive AESKeyExpand : {k} (fin k, k >= 4, 8 >= k) => [k][32] -> [4*(k+7)][32] | ||
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/***** SHA2 *****/ | ||
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/** | ||
* The SHA-224 secure hash algorithm. See FIPS 180-4, section 6.3. | ||
*/ | ||
sha224 : {L} (fin L) => [L] -> [224] | ||
sha224 msg = join (processSHA2_224 (sha2blocks`{32} msg)) | ||
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/** | ||
* The SHA-256 secure hash algorithm. See FIPS 180-4, section 6.2.2. | ||
*/ | ||
sha256 : {L} (fin L) => [L] -> [256] | ||
sha256 msg = join (processSHA2_256 (sha2blocks`{32} msg)) | ||
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/** | ||
* The SHA-384 secure hash algorithm. See FIPS 180-4, section 6.5. | ||
*/ | ||
sha384 : {L} (fin L) => [L] -> [384] | ||
sha384 msg = join (processSHA2_384 (sha2blocks`{64} msg)) | ||
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/** | ||
* The SHA-512 secure hash algorithm. See FIPS 180-4, section 6.4. | ||
*/ | ||
sha512 : {L} (fin L) => [L] -> [512] | ||
sha512 msg = join (processSHA2_512 (sha2blocks`{64} msg)) | ||
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private | ||
type sha2_block_size w = 16 * w | ||
type sha2_num_blocks w L = (L+1+2*w) /^ sha2_block_size w | ||
type sha2_padded_size w L = sha2_num_blocks w L * sha2_block_size w | ||
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sha2pad : {w, L} (fin w, fin L, w >= 1) => [L] -> [sha2_padded_size w L] | ||
sha2pad M = M # 0b1 # zero # ((fromInteger `L) : [2*w]) | ||
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sha2blocks : {w, L} (fin w, fin L, w >= 1) => | ||
[L] -> [sha2_num_blocks w L][16][w] | ||
sha2blocks msg = [ split x | x <- split (sha2pad`{w} msg) ] | ||
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/** | ||
* Apply the SHA224 hash algorithm to a sequence of SHA256-size blocks, | ||
* which are assumed to already be correctly padded. | ||
*/ | ||
primitive processSHA2_224 : {n} (fin n) => [n][16][32] -> [7][32] | ||
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/** | ||
* Apply the SHA256 hash algorithm to a sequence of SHA256-size blocks, | ||
* which are assumed to already be correctly padded. | ||
*/ | ||
primitive processSHA2_256 : {n} (fin n) => [n][16][32] -> [8][32] | ||
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/** | ||
* Apply the SHA384 hash algorithm to a sequence of SHA512-size blocks, | ||
* which are assumed to already be correctly padded. | ||
*/ | ||
primitive processSHA2_384 : {n} (fin n) => [n][16][64] -> [6][64] | ||
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/** | ||
* Apply the SHA512 hash algorithm to a sequence of SHA512-size blocks, | ||
* which are assumed to already be correctly padded. | ||
*/ | ||
primitive processSHA2_512 : {n} (fin n) => [n][16][64] -> [8][64] |
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