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KATAN.cry
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/* Cryptol KATAN Implementation
* Copyright (c) 2018, Galois Inc.
* www.cryptol.net
* KATAN- Extended Tiny Encryption Algorithm
* source: http://www.cs.technion.ac.il/~orrd/KATAN/index.html#Introduction
* Author: Ajay Kumar Eeralla
* KATAN block sizes-32,48, 64, key size-80
* Testing: For testing a version of KATAN/KATANTAN, please uncomment the respected L1, L2, x, y, and the testing property while commenting the other versions and their values
*/
module Primitive::Symmetric::Cipher::Block::KATAN where
type Katan32 = 32
type Katan48 = 48
type Katan64 = 64
//type KatanBlock = Katan32
//type KatanBlock = Katan48
type KatanBlock = Katan64
type KatanKeySize = 80
type Round = 8
type xSize = 5
type ySize = 6
//Number of rounds
type Nr = 254
//Sizes of the registers
//32-bit
//type L1Size = 13
//type L2Size = 19
//48-bit
//type L1Size = 19
//type L2Size = 29
//64-bit
type L1Size = 25
type L2Size = 39
// x, y values
//32-bit
//x = [12, 7, 8, 5, 3]
//y = [18, 7, 12, 10, 8, 3]
//48-bit
//x = [18, 12, 15, 7, 6]
//y = [28, 19, 21, 13, 15, 6]
//64-bit
x = [24, 15, 20, 11, 9]
y = [38, 25, 33, 21, 14, 9]
// Split and load the plaintext into two registers L1||L2
splitBlock: [KatanBlock] -> ([L1Size], [L2Size])
splitBlock pt = (l1, l2)
where l1 = take`{L1Size} pt
l2 = drop`{L1Size} pt
//Irregular round update
iR: [1][Nr]
//iR = [0x3f8d57b329118f08507cfd454c33bee95a7362ede5b5c934713d0eb059037012]
//iR = [28745440178967186054114865700305651645479019971890695849938977564416473788434]
iR = [0b11111110001101010101111011001100101001000100011000111100001000010100000111110011111101010001010100110000110011101111101110100101011010011100110110001011101101111001011011010111001001001101000111000100111101000011101011000001011001000000110111000000010010]
//Key Schedule-recursively extend the key
kS: {a} (fin a) => ([a], [12]) -> [a+1]
kS (key, i ) = key # [((key@(i-80))^ (key@(i-61)) ^ (key@(i-50)) ^ (key@(i-13)))]
kS10 : {a} (fin a) => ([a], [12]) -> [a + 10]
kS10 (key, i) = key9
where key0 = kS (key, i)
key1 = kS (key0, i+1)
key2 = kS (key1, i+2)
key3 = kS (key2, i+3)
key4 = kS (key3, i+4)
key5 = kS (key4, i+5)
key6 = kS (key5, i+6)
key7 = kS (key6, i+7)
key8 = kS (key7, i+8)
key9 = kS (key8, i+9)
kS100 : {a} (fin a) => ([a], [12]) -> [a + 100]
kS100 (key, i) = key9
where key0 = kS10 (key, i)
key1 = kS10 (key0, i+10)
key2 = kS10 (key1, i+20)
key3 = kS10 (key2, i+30)
key4 = kS10 (key3, i+40)
key5 = kS10 (key4, i+50)
key6 = kS10 (key5, i+60)
key7 = kS10 (key6, i+70)
key8 = kS10 (key7, i+80)
key9 = kS10 (key8, i+90)
keySchedule' :[80] -> [508]
keySchedule' key = key13
where key0 = kS100 (key, 80)
key1= kS100 (key0, 180)
key2 = kS100 (key1, 280)
key3 = kS100 (key2, 380)
key4 = kS10(key3, 480)
key5 = kS10 (key4, 490)
key6 = kS (key5, 500)
key7 = kS (key6, 501)
key8 = kS (key7, 502)
key9 = kS (key8, 503)
key10 = kS (key9, 504)
key11 = kS (key10, 505)
key12 = kS (key11, 506)
key13 = kS (key12, 507)
// functions fa and fb
funFa : [L1Size]-> [xSize][xSize] -> [508] -> [Round] -> Bit
funFa L1 x k i = (L1!(x@0)) ^ (L1!(x@1)) ^ ((L1!(x@2)) && (L1!(x@3))) ^ ((L1!(x@4)) && ((iR@0)@i)) ^ (k@(pmult (2:[2]) i))
funFb : [L2Size]-> [ySize][ySize] -> [508] -> [Round] -> Bit
funFb L2 y k i = (L2!(y@0)) ^ (L2!(y@1)) ^ (L2!(y@2) && L2!(y@3)) ^ (L2!(y@4) && L2!(y@5)) ^ (k@((pmult (2:[2]) i)+1))
//left shift L1 and L2 and replace LSBs of them with fb and fa respectively
aply_fb : [L1Size] -> [L2Size]-> [ySize][ySize] ->[KatanKeySize] -> [Round] -> [L1Size]
aply_fb l1 l2 y key i = (l1 !! [(L1Size-2),(L1Size-3)..0]) # [(funFb l2 y (keySchedule' key) i)]
aply_fa : [L1Size] -> [L2Size]-> [xSize][xSize]->[KatanKeySize] -> [Round] -> [L2Size]
aply_fa l1 l2 x key i = (l2 !! [(L2Size-2),(L2Size-3)..0]) # [(funFa l1 x (keySchedule' key) i)]
//Update LFSR for encryption
updateLfsr : [L1Size] -> [L2Size]-> [xSize][xSize] -> [ySize][ySize]->[KatanKeySize] -> [Round] -> ([L1Size], [L2Size])
updateLfsr l1 l2 x y key i = if `(L1Size) == 13
then (l1', l2')
else if `(L1Size) == 19
then (l1'', l2'')
else (l1''', l2''')
where pt = (aply_fb l1 l2 y key i) # (aply_fa l1 l2 x key i)
l1' = (splitBlock pt).0
l2' = (splitBlock pt).1
pt' = (aply_fb l1' l2' y key i) # (aply_fa l1' l2' x key i)
l1'' = (splitBlock pt').0
l2'' = (splitBlock pt').1
pt'' = (aply_fb l1'' l2'' y key i) # (aply_fa l1'' l2'' x key i)
l1''' = (splitBlock pt'').0
l2''' = (splitBlock pt'').1
//Encryption
katanEncrypt : ( [KatanKeySize], [KatanBlock]) -> _ // [KatanBlock]
katanEncrypt (key, pt) = (hs!0).0 # (hs!0).1
where hs = [(l1, l2)] # [ ( (updateLfsr pT.0 pT.1 x y key i).0, (updateLfsr pT.0 pT.1 x y key i).1) | i<- [0,1..253] | pT <- hs ]
l1 = (splitBlock pt).0
l2 = (splitBlock pt).1
// wrapper to do experiments
katanEncrypt64 : ([KatanBlock], [KatanBlock]) -> [KatanBlock]
katanEncrypt64 (key, pt) = katanEncrypt(key#zero, pt)
katanEncrypt80 : ([KatanKeySize], [KatanKeySize]) -> [KatanKeySize]
katanEncrypt80 (key, pt) = katanEncrypt(key, (take`{64} pt)) # zero
//Auxiliary functions for decryption
// fa and fb
decFunFa : [L1Size] -> [L2Size] -> [xSize][xSize] -> [508] -> [Round] -> Bit
decFunFa L1 L2 x k i = fa ^ (L1!((x@1)+1)) ^ (L1!((x@2)+1) && L1!((x@3)+1)) ^ (L1!((x@4)+1) && ((iR@0)@i)) ^ k@(2*i)
where fa = L2!0
decFunFb : [L2Size] -> [L1Size] -> [ySize][ySize] -> [508] -> [Round] -> Bit
decFunFb L2 L1 y k i = fb ^ (L2!((y@1)+1)) ^ ((L2!((y@2)+1)) && L2!((y@3)+1)) ^ ((L2!((y@4)+1)) && L2!((y@5)+1)) ^ k@(2*i+1)
where fb = L1!0
//Left shifting L1, L2 and appending fa, fb values
aply_decFa_once : [L1Size] -> [L2Size] -> [xSize][xSize] -> [KatanKeySize] -> [Round] -> [L1Size]
aply_decFa_once l1 l2 x k i = [(decFunFa l1 l2 x (keySchedule' k) i)] # (l1!![(L1Size-1),(L1Size-2)..1])
aply_decFb_once : [L2Size] -> [L1Size] -> [ySize][ySize] -> [KatanKeySize] -> [Round] -> [L2Size]
aply_decFb_once l2 l1 y k i = [(decFunFb l2 l1 y (keySchedule' k) i)] # (l2!![(L2Size-1),(L2Size-2)..1])
// Updating LFSR for decryption
decUpdateLfsr: [L1Size] -> [L2Size] -> [xSize][xSize]-> [ySize][ySize] -> [KatanKeySize] -> [Round] -> ([L1Size], [L2Size])
decUpdateLfsr l1 l2 x y key i = if `(L1Size) == 13
then (l1', l2')
else if `(L1Size) == 19
then (l1'', l2'')
else (l1''', l2''')
where ct = (aply_decFa_once l1 l2 x key i) # (aply_decFb_once l2 l1 y key i)
l1' = (splitBlock ct).0
l2' = (splitBlock ct).1
ct' = (aply_decFa_once l1' l2' x key i) # (aply_decFb_once l2' l1' y key i)
l1'' = (splitBlock ct').0
l2'' = (splitBlock ct').1
ct'' = (aply_decFa_once l1'' l2'' x key i) # (aply_decFb_once l2'' l1'' y key i)
l1''' = (splitBlock ct'').0
l2''' = (splitBlock ct'').1
//Decryption
katanDecrypt : ([KatanKeySize], [KatanBlock]) -> [KatanBlock]
katanDecrypt (key, pt) = (hs!0).0 # (hs!0).1
where hs = [(l1, l2)] #[ ((decUpdateLfsr pT.0 pT.1 x y key i).0 , (decUpdateLfsr pT.0 pT.1 x y key i).1) | i <-[253,252..0] |pT <- hs ]
l1 = (splitBlock pt).0
l2 = (splitBlock pt).1
// Correctness
property katanCorrect key m = katanEncrypt( key, katanDecrypt(key, m)) == m
/*******KTANTAN*******************************************/
/**********************************************************/
k_a_index = [0x3f, 0x1f, 0x1f, 0x0f, 0x0e, 0x3c, 0x28, 0x31, 0x23, 0x36, 0x2d,
0x3a, 0x25, 0x4a, 0x45, 0x4a, 0x35, 0x2b, 0x47, 0x3f, 0x1e, 0x2d,
0x0b, 0x36, 0x1c, 0x29, 0x03, 0x26, 0x3c, 0x19, 0x22, 0x05, 0x1a,
0x14, 0x09, 0x02, 0x14, 0x18, 0x01, 0x02, 0x34, 0x18, 0x11, 0x03,
0x06, 0x4c, 0x48, 0x31, 0x13, 0x17, 0x0f, 0x0e, 0x0c, 0x18, 0x10,
0x01, 0x02, 0x04, 0x28, 0x30, 0x11, 0x12, 0x05, 0x0a, 0x04, 0x08,
0x40, 0x40, 0x41, 0x33, 0x17, 0x2f, 0x0f, 0x4e, 0x4c, 0x49, 0x43,
0x37, 0x2f, 0x3f, 0x2f, 0x3e, 0x1d, 0x1a, 0x05, 0x0a, 0x24, 0x38,
0x21, 0x32, 0x15, 0x2a, 0x05, 0x3a, 0x14, 0x19, 0x03, 0x06, 0x0c,
0x38, 0x10, 0x21, 0x03, 0x46, 0x3c, 0x29, 0x43, 0x47, 0x4e, 0x4d,
0x3b, 0x27, 0x4f, 0x4f, 0x3e, 0x2d, 0x3b, 0x17, 0x2e, 0x0d, 0x2a,
0x34, 0x29, 0x42, 0x35, 0x2a, 0x35, 0x1b, 0x26, 0x0d, 0x4a, 0x34,
0x19, 0x23, 0x07, 0x3e, 0x2c, 0x49, 0x33, 0x16, 0x1d, 0x0b, 0x06,
0x2c, 0x48, 0x41, 0x32, 0x25, 0x4b, 0x37, 0x2e, 0x4d, 0x4b, 0x46,
0x3d, 0x1b, 0x27, 0x0f, 0x2e, 0x4c, 0x39, 0x22, 0x45, 0x3b, 0x26,
0x3d, 0x2b, 0x46, 0x4d, 0x3a, 0x15, 0x2b, 0x07, 0x1e, 0x2c, 0x09,
0x12, 0x24, 0x09, 0x32, 0x24, 0x39, 0x13, 0x16, 0x0d, 0x0a, 0x44,
0x38, 0x11, 0x13, 0x07, 0x0e, 0x1c, 0x28, 0x01, 0x42, 0x44, 0x39,
0x23, 0x37, 0x1f, 0x1e, 0x0d, 0x0a, 0x04, 0x48, 0x30, 0x21, 0x33,
0x27, 0x4e, 0x3d, 0x1a, 0x15, 0x0b, 0x06, 0x0c, 0x08, 0x20, 0x40,
0x31, 0x12, 0x25, 0x0b, 0x16, 0x1c, 0x09, 0x02, 0x04, 0x08, 0x00,
0x30, 0x20, 0x41, 0x43, 0x36, 0x1d, 0x1b, 0x07, 0x0e, 0x0c, 0x08,
0x00, 0x00, 0x10, 0x20, 0x01, 0x22, 0x44, 0x49, 0x42, 0x45, 0x4b,
0x47]
k_b_index = [0x1f, 0x3f, 0x3f, 0x2f, 0x0e, 0x4c, 0x28, 0x11, 0x43, 0x16, 0x4d,
0x1a, 0x45, 0x0a, 0x45, 0x0a, 0x15, 0x2b, 0x07, 0x4f, 0x3e, 0x2d,
0x0b, 0x46, 0x3c, 0x29, 0x13, 0x46, 0x1c, 0x49, 0x22, 0x15, 0x4a,
0x34, 0x29, 0x12, 0x44, 0x38, 0x21, 0x02, 0x44, 0x38, 0x31, 0x23,
0x06, 0x4c, 0x08, 0x11, 0x33, 0x37, 0x3f, 0x2e, 0x1c, 0x48, 0x30,
0x31, 0x22, 0x14, 0x48, 0x10, 0x41, 0x32, 0x35, 0x3a, 0x24, 0x08,
0x40, 0x00, 0x01, 0x13, 0x37, 0x2f, 0x0f, 0x4e, 0x0c, 0x09, 0x03,
0x17, 0x2f, 0x1f, 0x4f, 0x1e, 0x4d, 0x3a, 0x25, 0x1a, 0x44, 0x18,
0x41, 0x12, 0x45, 0x2a, 0x05, 0x4a, 0x34, 0x39, 0x33, 0x26, 0x0c,
0x48, 0x30, 0x21, 0x03, 0x46, 0x1c, 0x29, 0x03, 0x47, 0x0e, 0x0d,
0x1b, 0x27, 0x0f, 0x4f, 0x1e, 0x2d, 0x1b, 0x47, 0x2e, 0x1d, 0x4a,
0x14, 0x49, 0x02, 0x45, 0x2a, 0x15, 0x4b, 0x26, 0x0d, 0x4a, 0x14,
0x39, 0x23, 0x07, 0x4e, 0x2c, 0x09, 0x43, 0x36, 0x3d, 0x2b, 0x16,
0x4c, 0x08, 0x41, 0x12, 0x25, 0x0b, 0x47, 0x2e, 0x0d, 0x4b, 0x06,
0x1d, 0x3b, 0x27, 0x1f, 0x4e, 0x0c, 0x49, 0x22, 0x05, 0x4b, 0x26,
0x1d, 0x4b, 0x06, 0x4d, 0x1a, 0x35, 0x2b, 0x17, 0x4e, 0x2c, 0x19,
0x42, 0x24, 0x09, 0x42, 0x24, 0x19, 0x43, 0x36, 0x2d, 0x0a, 0x44,
0x18, 0x31, 0x33, 0x27, 0x1e, 0x4c, 0x28, 0x01, 0x42, 0x04, 0x19,
0x23, 0x17, 0x4f, 0x3e, 0x3d, 0x2a, 0x04, 0x48, 0x10, 0x21, 0x13,
0x47, 0x0e, 0x4d, 0x3a, 0x35, 0x3b, 0x36, 0x2c, 0x18, 0x40, 0x00,
0x41, 0x32, 0x25, 0x1b, 0x46, 0x3c, 0x39, 0x32, 0x34, 0x28, 0x00,
0x40, 0x20, 0x01, 0x43, 0x16, 0x3d, 0x3b, 0x37, 0x3e, 0x3c, 0x38,
0x20, 0x10, 0x40, 0x20, 0x11, 0x42, 0x04, 0x49, 0x02, 0x05, 0x0b,
0x07]
//KTANTAN-Encryption
// functions fa and fb
tanFa : [L1Size]-> [xSize][xSize] -> [508] -> [Round] -> Bit
tanFa L1 x k i = (L1!(x@0)) ^ (L1!(x@1)) ^ ((L1!(x@2)) && (L1!(x@3))) ^ ((L1!(x@4)) && ((iR@0)@i)) ^ (k@(k_a_index @i))
tanFb : [L2Size]-> [ySize][ySize] -> [508] -> [Round] -> Bit
tanFb L2 y k i = (L2!(y@0)) ^ (L2!(y@1)) ^ (L2!(y@2) && L2!(y@3)) ^ (L2!(y@4) && L2!(y@5)) ^ (k@(k_b_index @i))
//left shift L1 and L2 and replace LSBs of them with fb and fa respectively
tanAplyFb : [L1Size] -> [L2Size]-> [ySize][ySize] ->[KatanKeySize] -> [Round] -> [L1Size]
tanAplyFb l1 l2 y key i = (l1 !! [(L1Size-2),(L1Size-3)..0]) # [(tanFb l2 y (keySchedule' key) i)]
tanAplyFa : [L1Size] -> [L2Size]-> [xSize][xSize]->[KatanKeySize] -> [Round] -> [L2Size]
tanAplyFa l1 l2 x key i = (l2 !! [(L2Size-2),(L2Size-3)..0]) # [(tanFa l1 x (keySchedule' key) i)]
//Update LFSR KTANTAN
updateLfsrTan : [L1Size] -> [L2Size]-> [xSize][xSize] -> [ySize][ySize]->[KatanKeySize] -> [Round] -> ([L1Size], [L2Size])
updateLfsrTan l1 l2 x y key i = if `(L1Size) == 13
then (l1', l2')
else if `(L1Size) == 19
then (l1'', l2'')
else (l1''', l2''')
where pt = (tanAplyFb l1 l2 y key i) # (tanAplyFa l1 l2 x key i)
l1' = (splitBlock pt).0
l2' = (splitBlock pt).1
pt' = (tanAplyFb l1' l2' y key i) # (tanAplyFa l1' l2' x key i)
l1'' = (splitBlock pt').0
l2'' = (splitBlock pt').1
pt'' = (tanAplyFb l1'' l2'' y key i) # (tanAplyFa l1'' l2'' x key i)
l1''' = (splitBlock pt'').0
l2''' = (splitBlock pt'').1
//Encryption
katantanEncrypt : ([KatanKeySize], [KatanBlock]) -> [KatanBlock]
katantanEncrypt (key, pt) = (hs!0).0 # (hs!0).1
where hs = [(l1, l2)] # [((updateLfsrTan pT.0 pT.1 x y key i).0, (updateLfsrTan pT.0 pT.1 x y key i).1) | i<- [0,1..253] | pT <- hs ]
l1 = (splitBlock pt).0
l2 = (splitBlock pt).1
// Wrapper to do experiments
katantanEncrypt64 : ([KatanBlock], [KatanBlock]) -> [KatanBlock]
katantanEncrypt64 (key, pt) = katantanEncrypt( key#zero, pt)
katantanEncrypt80 : ([KatanKeySize], [KatanKeySize]) -> [KatanKeySize]
katantanEncrypt80 (key, pt) = katantanEncrypt( key, (take`{64} pt)) # zero
//KTANTAN-Decryption
decTanFa : [L1Size] -> [L2Size] -> [xSize][xSize] -> [508] -> [Round] -> Bit
decTanFa L1 L2 x k i = fa ^ (L1!((x@1)+1)) ^ (L1!((x@2)+1) && L1!((x@3)+1)) ^ (L1!((x@4)+1) && ((iR@0)@i)) ^ k@(k_a_index@i)
where fa = L2!0
decTanFb : [L2Size] -> [L1Size] -> [ySize][ySize] -> [508] -> [Round] -> Bit
decTanFb L2 L1 y k i = fb ^ (L2!((y@1)+1)) ^ ((L2!((y@2)+1)) && L2!((y@3)+1)) ^ ((L2!((y@4)+1)) && L2!((y@5)+1)) ^ k@(k_b_index@i)
where fb = L1!0
//Left shifting L1, L2 and appending fa, fb values
tanAplydecFa : [L1Size] -> [L2Size] -> [xSize][xSize] -> [KatanKeySize] -> [Round] -> [L1Size]
tanAplydecFa l1 l2 x k i = [(decTanFa l1 l2 x (keySchedule' k) i)] # (l1!![(L1Size-1),(L1Size-2)..1])
tanAplydecFb : [L2Size] -> [L1Size] -> [ySize][ySize] -> [KatanKeySize] -> [Round] -> [L2Size]
tanAplydecFb l2 l1 y k i = [(decTanFb l2 l1 y (keySchedule' k) i)] # (l2!![(L2Size-1),(L2Size-2)..1])
// Updating LFSR for decryption
decUpdateLfsrTan: [L1Size] -> [L2Size] -> [xSize][xSize]-> [ySize][ySize] -> [KatanKeySize] -> [Round] -> ([L1Size], [L2Size])
decUpdateLfsrTan l1 l2 x y key i = if `(L1Size) == 13
then (l1', l2')
else if `(L1Size) == 19
then (l1'', l2'')
else (l1''', l2''')
where ct = (tanAplydecFa l1 l2 x key i) # (tanAplydecFb l2 l1 y key i)
l1' = (splitBlock ct).0
l2' = (splitBlock ct).1
ct' = (tanAplydecFa l1' l2' x key i) # (tanAplydecFb l2' l1' y key i)
l1'' = (splitBlock ct').0
l2'' = (splitBlock ct').1
ct'' = (tanAplydecFa l1'' l2'' x key i) # (tanAplydecFb l2'' l1'' y key i)
l1''' = (splitBlock ct'').0
l2''' = (splitBlock ct'').1
//Decryption
katantanDecrypt : ([KatanKeySize], [KatanBlock]) -> [KatanBlock]
katantanDecrypt (key, pt) = (hs!0).0 # (hs!0).1
where hs = [(l1, l2)] #[ ((decUpdateLfsrTan pT.0 pT.1 x y key i).0 , (decUpdateLfsrTan pT.0 pT.1 x y key i).1) | i <-[253,252..0] |pT <- hs ]
l1 = (splitBlock pt).0
l2 = (splitBlock pt).1
// Correcteness
property katantanCorrect key m = katantanDecrypt(key, katantanEncrypt(key, m)) == m
// Testing
//32bit block size
//tests32 = [ katan32_2, katantan32_1, katantan32_2]
//property testsPass = and tests32
//katan32_1 = katanEncrypt(0x00000000, 0xffffffffffffffffffff) == 0x7e1ff945
//katan32_2 = katanEncrypt(0xffffffff, 0x00000000000000000000) == 0x432e61da
//katantan32_1 = katantanEncrypt(0x00000000, 0xffffffffffffffffffff) == 0x22ea3988
//katantan32_2 = katantanEncrypt(0xffffffff, 0x00000000000000000000) == 0x432e61da
//48bit block size
/*
tests48 = [katan48_1, katan48_2, katantan48_1, katantan48_2]
property testsPass = and tests48
katan48_1 = katanEncrypt(0x000000000000, 0xffffffffffffffffffff) == 0x4b7efcfb8659
katan48_2 = katanEncrypt(0xffffffffffff, 0x00000000000000000000) == 0xa4bd196d0b85
katantan48_1 = katantanEncrypt(0x000000000000, 0xffffffffffffffffffff) == 0x936d0fa33a05
katantan48_2 = katantanEncrypt(0xffffffffffff, 0x00000000000000000000) == 0xa4bd196d0b85
*/
//64bit block size
tests64 = [katan64_1, katan64_2, katantan64_1, katantan64_2]
property testsPass = and tests64
katan64_1 = katanEncrypt( 0xffffffffffffffffffff, zero) == 0x21f2e99c0fab828a
katan64_2 = katanEncrypt(zero, 0xffffffffffffffff) == 0xc956100dbeb64ba8
katantan64_1 = katantanEncrypt(0xffffffffffffffffffff, zero) == 0xc02de05bfa194b16
katantan64_2 = katantanEncrypt(zero, 0xffffffffffffffff) == 0xc956100dbeb64ba8