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172 lines
5.3 KiB
Plaintext
172 lines
5.3 KiB
Plaintext
/*
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* Copyright (c) 2013-2016 Galois, Inc.
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* Distributed under the terms of the BSD3 license (see LICENSE file)
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*/
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module DES where
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import Cipher
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// DES API
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DES : Cipher 64 64
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DES =
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{ encrypt key pt = des pt (expandKey key)
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, decrypt key ct = des ct (reverse (expandKey key))
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}
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// Encryption
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des pt keys = (swap (split lst)) @@ FPz
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where
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pt' = pt @@ IPz
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iv = [ round (k, split lr)
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| k <- keys
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| lr <- [pt'] # iv ]
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lst = iv @ (length keys - 1)
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round : ([48],[2][32]) -> [64]
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round (k, [l, r]) = r # (l ^ f (r, k))
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// f : {a} (a >= 6) => ([2^^(a-1)],[48]) -> [32]
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// f : {b} (b >= 1, 6 == lg2 b) => ([b - 1], [48]) -> [32]
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f (r, k) = (SBox(k ^ (r @@ EPz))) @@ PPz
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swap [a, b] = b # a
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// Key expansion
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expandKey : [64] -> [16][48]
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expandKey key = expand (split (key @@ KPz))
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expand: [2][28] -> [16][48]
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expand [kl, kr] =
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[ ((kl <<< i) # (kr <<< i)) @@ CPz
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| i <- sums [ 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1 ] ]
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sums : [16][8] -> [16][8]
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sums xs = ys
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where ys = [ x + y | x <- xs | y <- [0] # ys ]
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zeroBasify XP = [ i - 1 | i <- XP ]
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KPz = zeroBasify KP
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CPz = zeroBasify CP
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PPz = zeroBasify PP
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EPz = zeroBasify EP
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IPz = zeroBasify IP
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FPz = zeroBasify FP
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KP : [56][6]
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KP = [57,49,41,33,25,17, 9, 1,58,50,42,34,26,18,
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10, 2,59,51,43,35,27,19,11, 3,60,52,44,36,
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63,55,47,39,31,23,15, 7,62,54,46,38,30,22,
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14, 6,61,53,45,37,29,21,13, 5,28,20,12, 4
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]
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CP : [48][6]
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CP = [14, 17, 11, 24, 1, 5, 3, 28, 15, 6, 21, 10,
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23, 19, 12, 4, 26, 8, 16, 7, 27, 20, 13, 2,
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41, 52, 31, 37, 47, 55, 30, 40, 51, 45, 33, 48,
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44, 49, 39, 56, 34, 53, 46, 42, 50, 36, 29, 32
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]
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PP : [32][6]
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PP = [16, 7, 20, 21, 29, 12, 28, 17, 1, 15, 23, 26, 5, 18, 31, 10,
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2, 8, 24, 14, 32, 27, 3, 9, 19, 13, 30, 6, 22, 11, 4, 25
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]
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EP : [48][6]
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EP = [32, 1, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9,
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8, 9, 10, 11, 12, 13, 12, 13, 14, 15, 16, 17,
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16, 17, 18, 19, 20, 21, 20, 21, 22, 23, 24, 25,
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24, 25, 26, 27, 28, 29, 28, 29, 30, 31, 32, 1
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]
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IP : [64][7]
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IP = [58, 50, 42, 34, 26, 18, 10, 2, 60, 52, 44, 36, 28, 20, 12, 4,
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62, 54, 46, 38, 30, 22, 14, 6, 64, 56, 48, 40, 32, 24, 16, 8,
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57, 49, 41, 33, 25, 17, 9, 1, 59, 51, 43, 35, 27, 19, 11, 3,
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61, 53, 45, 37, 29, 21, 13, 5, 63, 55, 47, 39, 31, 23, 15, 7
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]
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FP : [64][7]
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FP = [40, 8, 48, 16, 56, 24, 64, 32, 39, 7, 47, 15, 55, 23, 63, 31,
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38, 6, 46, 14, 54, 22, 62, 30, 37, 5, 45, 13, 53, 21, 61, 29,
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36, 4, 44, 12, 52, 20, 60, 28, 35, 3, 43, 11, 51, 19, 59, 27,
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34, 2, 42, 10, 50, 18, 58, 26, 33, 1, 41, 9, 49, 17, 57, 25
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]
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// Sboxen
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SBox : [48] -> [32]
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SBox x = join [ sbox (n, b) | n <- [1 .. 8] | b <- split x ]
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sbox : ([4], [6]) -> [4]
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sbox (n, x) = (s @ [b1, b6] @ [b2, b3, b4, b5])
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where s = sboxes @ (n - 1)
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b1 = x @ 0
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b2 = x @ 1
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b3 = x @ 2
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b4 = x @ 3
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b5 = x @ 4
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b6 = x @ 5
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// here are all the SBoxes
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sboxes = [ sbox1, sbox2, sbox3, sbox4, sbox5, sbox6, sbox7, sbox8 ]
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sbox1 : [4][16][4]
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sbox1 = [[14, 4, 13, 1, 2, 15, 11, 8, 3, 10, 6, 12, 5, 9, 0, 7],
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[0, 15, 7, 4, 14, 2, 13, 1, 10, 6, 12, 11, 9, 5, 3, 8],
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[4, 1, 14, 8, 13, 6, 2, 11, 15, 12, 9, 7, 3, 10, 5, 0],
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[15, 12, 8, 2, 4, 9, 1, 7, 5, 11, 3, 14, 10, 0, 6, 13]
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]
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sbox2 : [4][16][4]
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sbox2 = [[15, 1, 8, 14, 6, 11, 3, 4, 9, 7, 2, 13, 12, 0, 5, 10],
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[3, 13, 4, 7, 15, 2, 8, 14, 12, 0, 1, 10, 6, 9, 11, 5],
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[0, 14, 7, 11, 10, 4, 13, 1, 5, 8, 12, 6, 9, 3, 2, 15],
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[13, 8, 10, 1, 3, 15, 4, 2, 11, 6, 7, 12, 0, 5, 14, 9]
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]
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sbox3 : [4][16][4]
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sbox3 = [[10, 0, 9, 14, 6, 3, 15, 5, 1, 13, 12, 7, 11, 4, 2, 8],
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[13, 7, 0, 9, 3, 4, 6, 10, 2, 8, 5, 14, 12, 11, 15, 1],
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[13, 6, 4, 9, 8, 15, 3, 0, 11, 1, 2, 12, 5, 10, 14, 7],
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[1, 10, 13, 0, 6, 9, 8, 7, 4, 15, 14, 3, 11, 5, 2, 12]
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]
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sbox4 : [4][16][4]
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sbox4 = [[7, 13, 14, 3, 0, 6, 9, 10, 1, 2, 8, 5, 11, 12, 4, 15],
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[13, 8, 11, 5, 6, 15, 0, 3, 4, 7, 2, 12, 1, 10, 14, 9],
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[10, 6, 9, 0, 12, 11, 7, 13, 15, 1, 3, 14, 5, 2, 8, 4],
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[3, 15, 0, 6, 10, 1, 13, 8, 9, 4, 5, 11, 12, 7, 2, 14]
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]
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sbox5 : [4][16][4]
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sbox5 = [[2, 12, 4, 1, 7, 10, 11, 6, 8, 5, 3, 15, 13, 0, 14, 9],
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[14, 11, 2, 12, 4, 7, 13, 1, 5, 0, 15, 10, 3, 9, 8, 6],
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[4, 2, 1, 11, 10, 13, 7, 8, 15, 9, 12, 5, 6, 3, 0, 14],
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[11, 8, 12, 7, 1, 14, 2, 13, 6, 15, 0, 9, 10, 4, 5, 3]
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]
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sbox6 : [4][16][4]
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sbox6 = [[12, 1, 10, 15, 9, 2, 6, 8, 0, 13, 3, 4, 14, 7, 5, 11],
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[10, 15, 4, 2, 7, 12, 9, 5, 6, 1, 13, 14, 0, 11, 3, 8],
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[9, 14, 15, 5, 2, 8, 12, 3, 7, 0, 4, 10, 1, 13, 11, 6],
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[4, 3, 2, 12, 9, 5, 15, 10, 11, 14, 1, 7, 6, 0, 8, 13]
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]
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sbox7 : [4][16][4]
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sbox7 = [[4, 11, 2, 14, 15, 0, 8, 13, 3, 12, 9, 7, 5, 10, 6, 1],
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[13, 0, 11, 7, 4, 9, 1, 10, 14, 3, 5, 12, 2, 15, 8, 6],
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[1, 4, 11, 13, 12, 3, 7, 14, 10, 15, 6, 8, 0, 5, 9, 2],
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[6, 11, 13, 8, 1, 4, 10, 7, 9, 5, 0, 15, 14, 2, 3, 12]
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]
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sbox8 : [4][16][4]
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sbox8 = [[13, 2, 8, 4, 6, 15, 11, 1, 10, 9, 3, 14, 5, 0, 12, 7],
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[1, 15, 13, 8, 10, 3, 7, 4, 12, 5, 6, 11, 0, 14, 9, 2],
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[7, 11, 4, 1, 9, 12, 14, 2, 0, 6, 10, 13, 15, 3, 5, 8],
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[2, 1, 14, 7, 4, 10, 8, 13, 15, 12, 9, 0, 3, 5, 6, 11]
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]
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