0 | module Crypto.AES.Common
2 | import Utils.ConstantTable
14 | matmul : Num a => {p : _} -> (op : Vect m a -> Vect m b -> c) -> Vect n (Vect m a) -> Vect m (Vect p b) -> Vect n (Vect p c)
15 | matmul op [] ys = []
16 | matmul op (x :: xs) ys = map (op x) (transpose ys) :: matmul op xs ys
19 | vecxor : Bits a => Vect n a -> Vect n a -> Vect n a
20 | vecxor = zipWith xor
23 | matxor : Bits a => Vect n (Vect m a) -> Vect n (Vect m a) -> Vect n (Vect m a)
24 | matxor x y = zipWith vecxor x y
27 | sbox : ConstantTable 256 Bits8
29 | [ 0x63, 0x7c, 0x77, 0x7b, 0xf2, 0x6b, 0x6f, 0xc5, 0x30, 0x01, 0x67, 0x2b, 0xfe, 0xd7, 0xab, 0x76
30 | , 0xca, 0x82, 0xc9, 0x7d, 0xfa, 0x59, 0x47, 0xf0, 0xad, 0xd4, 0xa2, 0xaf, 0x9c, 0xa4, 0x72, 0xc0
31 | , 0xb7, 0xfd, 0x93, 0x26, 0x36, 0x3f, 0xf7, 0xcc, 0x34, 0xa5, 0xe5, 0xf1, 0x71, 0xd8, 0x31, 0x15
32 | , 0x04, 0xc7, 0x23, 0xc3, 0x18, 0x96, 0x05, 0x9a, 0x07, 0x12, 0x80, 0xe2, 0xeb, 0x27, 0xb2, 0x75
33 | , 0x09, 0x83, 0x2c, 0x1a, 0x1b, 0x6e, 0x5a, 0xa0, 0x52, 0x3b, 0xd6, 0xb3, 0x29, 0xe3, 0x2f, 0x84
34 | , 0x53, 0xd1, 0x00, 0xed, 0x20, 0xfc, 0xb1, 0x5b, 0x6a, 0xcb, 0xbe, 0x39, 0x4a, 0x4c, 0x58, 0xcf
35 | , 0xd0, 0xef, 0xaa, 0xfb, 0x43, 0x4d, 0x33, 0x85, 0x45, 0xf9, 0x02, 0x7f, 0x50, 0x3c, 0x9f, 0xa8
36 | , 0x51, 0xa3, 0x40, 0x8f, 0x92, 0x9d, 0x38, 0xf5, 0xbc, 0xb6, 0xda, 0x21, 0x10, 0xff, 0xf3, 0xd2
37 | , 0xcd, 0x0c, 0x13, 0xec, 0x5f, 0x97, 0x44, 0x17, 0xc4, 0xa7, 0x7e, 0x3d, 0x64, 0x5d, 0x19, 0x73
38 | , 0x60, 0x81, 0x4f, 0xdc, 0x22, 0x2a, 0x90, 0x88, 0x46, 0xee, 0xb8, 0x14, 0xde, 0x5e, 0x0b, 0xdb
39 | , 0xe0, 0x32, 0x3a, 0x0a, 0x49, 0x06, 0x24, 0x5c, 0xc2, 0xd3, 0xac, 0x62, 0x91, 0x95, 0xe4, 0x79
40 | , 0xe7, 0xc8, 0x37, 0x6d, 0x8d, 0xd5, 0x4e, 0xa9, 0x6c, 0x56, 0xf4, 0xea, 0x65, 0x7a, 0xae, 0x08
41 | , 0xba, 0x78, 0x25, 0x2e, 0x1c, 0xa6, 0xb4, 0xc6, 0xe8, 0xdd, 0x74, 0x1f, 0x4b, 0xbd, 0x8b, 0x8a
42 | , 0x70, 0x3e, 0xb5, 0x66, 0x48, 0x03, 0xf6, 0x0e, 0x61, 0x35, 0x57, 0xb9, 0x86, 0xc1, 0x1d, 0x9e
43 | , 0xe1, 0xf8, 0x98, 0x11, 0x69, 0xd9, 0x8e, 0x94, 0x9b, 0x1e, 0x87, 0xe9, 0xce, 0x55, 0x28, 0xdf
44 | , 0x8c, 0xa1, 0x89, 0x0d, 0xbf, 0xe6, 0x42, 0x68, 0x41, 0x99, 0x2d, 0x0f, 0xb0, 0x54, 0xbb, 0x16
48 | inv_sbox : ConstantTable 256 Bits8
49 | inv_sbox = from_vect
50 | [ 0x52, 0x09, 0x6a, 0xd5, 0x30, 0x36, 0xa5, 0x38, 0xbf, 0x40, 0xa3, 0x9e, 0x81, 0xf3, 0xd7, 0xfb
51 | , 0x7c, 0xe3, 0x39, 0x82, 0x9b, 0x2f, 0xff, 0x87, 0x34, 0x8e, 0x43, 0x44, 0xc4, 0xde, 0xe9, 0xcb
52 | , 0x54, 0x7b, 0x94, 0x32, 0xa6, 0xc2, 0x23, 0x3d, 0xee, 0x4c, 0x95, 0x0b, 0x42, 0xfa, 0xc3, 0x4e
53 | , 0x08, 0x2e, 0xa1, 0x66, 0x28, 0xd9, 0x24, 0xb2, 0x76, 0x5b, 0xa2, 0x49, 0x6d, 0x8b, 0xd1, 0x25
54 | , 0x72, 0xf8, 0xf6, 0x64, 0x86, 0x68, 0x98, 0x16, 0xd4, 0xa4, 0x5c, 0xcc, 0x5d, 0x65, 0xb6, 0x92
55 | , 0x6c, 0x70, 0x48, 0x50, 0xfd, 0xed, 0xb9, 0xda, 0x5e, 0x15, 0x46, 0x57, 0xa7, 0x8d, 0x9d, 0x84
56 | , 0x90, 0xd8, 0xab, 0x00, 0x8c, 0xbc, 0xd3, 0x0a, 0xf7, 0xe4, 0x58, 0x05, 0xb8, 0xb3, 0x45, 0x06
57 | , 0xd0, 0x2c, 0x1e, 0x8f, 0xca, 0x3f, 0x0f, 0x02, 0xc1, 0xaf, 0xbd, 0x03, 0x01, 0x13, 0x8a, 0x6b
58 | , 0x3a, 0x91, 0x11, 0x41, 0x4f, 0x67, 0xdc, 0xea, 0x97, 0xf2, 0xcf, 0xce, 0xf0, 0xb4, 0xe6, 0x73
59 | , 0x96, 0xac, 0x74, 0x22, 0xe7, 0xad, 0x35, 0x85, 0xe2, 0xf9, 0x37, 0xe8, 0x1c, 0x75, 0xdf, 0x6e
60 | , 0x47, 0xf1, 0x1a, 0x71, 0x1d, 0x29, 0xc5, 0x89, 0x6f, 0xb7, 0x62, 0x0e, 0xaa, 0x18, 0xbe, 0x1b
61 | , 0xfc, 0x56, 0x3e, 0x4b, 0xc6, 0xd2, 0x79, 0x20, 0x9a, 0xdb, 0xc0, 0xfe, 0x78, 0xcd, 0x5a, 0xf4
62 | , 0x1f, 0xdd, 0xa8, 0x33, 0x88, 0x07, 0xc7, 0x31, 0xb1, 0x12, 0x10, 0x59, 0x27, 0x80, 0xec, 0x5f
63 | , 0x60, 0x51, 0x7f, 0xa9, 0x19, 0xb5, 0x4a, 0x0d, 0x2d, 0xe5, 0x7a, 0x9f, 0x93, 0xc9, 0x9c, 0xef
64 | , 0xa0, 0xe0, 0x3b, 0x4d, 0xae, 0x2a, 0xf5, 0xb0, 0xc8, 0xeb, 0xbb, 0x3c, 0x83, 0x53, 0x99, 0x61
65 | , 0x17, 0x2b, 0x04, 0x7e, 0xba, 0x77, 0xd6, 0x26, 0xe1, 0x69, 0x14, 0x63, 0x55, 0x21, 0x0c, 0x7d
69 | sub_byte : Bits8 -> Bits8
70 | sub_byte x = index_bits8 x sbox
73 | inv_sub_byte : Bits8 -> Bits8
74 | inv_sub_byte x = index_bits8 x inv_sbox
77 | sub_word : Vect m Bits8 -> Vect m Bits8
78 | sub_word = map sub_byte
81 | inv_sub_word : Vect m Bits8 -> Vect m Bits8
82 | inv_sub_word = map inv_sub_byte
85 | sub_bytes : Vect n (Vect m Bits8) -> Vect n (Vect m Bits8)
86 | sub_bytes = map sub_word
89 | inv_sub_bytes : Vect n (Vect m Bits8) -> Vect n (Vect m Bits8)
90 | inv_sub_bytes = map inv_sub_word
93 | rot_word : {n : Nat} -> Nat -> Vect (S n) a -> Vect (S n) a
94 | rot_word k = take (S n) . drop k . cycle
97 | inv_rot_word : {n : Nat} -> Nat -> Vect (S n) a -> Vect (S n) a
98 | inv_rot_word k = take (S n) . drop (n * k) . cycle
101 | rcons : Stream Bits8
104 | go : Bits8 -> Stream Bits8
105 | go x = x :: go ((if x < 0x80 then id else xor (0x1B)) $
2 * x)
108 | expand_key' : {n_k, n_b : _} -> {auto 0 ok : NonZero n_b} -> Fin n_k -> (rcs : Stream Bits8) -> (prev_block : Vect n_k (Vect n_b Bits8)) -> Stream (Vect n_b Bits8)
109 | expand_key' {n_b = S n_b'} counter (rc :: rcs) (x :: xs) =
114 | FZ => let z = (vecxor (rc :: replicate _ 0) $
vecxor x $
sub_word $
rot_word 1 $
y) in z :: expand_key' Data.Fin.last rcs (snoc xs z)
117 | z = vecxor x $
case isLT 6 n_k of
118 | Yes wit => if finToNat (FS counter') == 4 then sub_word y else y
121 | z :: expand_key' (weaken counter') (rc :: rcs) (snoc xs z)
124 | expand_key : {n_k, n_b : _} -> {auto 0 ok : NonZero n_b} -> {auto 0 ok2 : NonZero n_k} -> Vect n_k (Vect n_b Bits8) -> Stream (Vect n_b Bits8)
125 | expand_key {n_k = S n_k'} k = expand_key' FZ rcons k
128 | data Mode : Type where
134 | get_n_k : Mode -> Nat
140 | n_k_never_Z : (mode : _) -> NonZero (get_n_k mode)
141 | n_k_never_Z AES128 = SIsNonZero
142 | n_k_never_Z AES192 = SIsNonZero
143 | n_k_never_Z AES256 = SIsNonZero
146 | get_main_rounds : Mode -> Nat
147 | get_main_rounds AES128 = 9
148 | get_main_rounds AES192 = 11
149 | get_main_rounds AES256 = 13