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# Multiply by matrix M
def MultiplyM(lane) :
multiplied_lane = [lane[(byte-1) % 8] for byte in range(0, 8)]
multiplied_lane[2] ^= ((lane[6] << 2) & 0xff)
multiplied_lane[4] ^= ((lane[4] >> 3) & 0xff)
multiplied_lane[5] ^= ((lane[5] << 3) & 0xff)
return multiplied_lane
def MultiplyM2(lane) :
multiplied_lane = [lane[(byte-2) % 8] for byte in range(0, 8)]
multiplied_lane[2] ^= ((lane[5] << 2) & 0xff)
multiplied_lane[3] ^= ((lane[6] << 2) & 0xff)
multiplied_lane[4] ^= ((lane[3] >> 3) & 0xff) ^ ((lane[4] >> 6) & 0xff)
multiplied_lane[5] ^= ((lane[5] << 6) & 0xff)
multiplied_lane[6] ^= ((lane[5] << 3) & 0xff)
# binary matrix M1
multi_mat_l4_m1 = 0
l4 = lane[4]
multi_mat_l4_m1 ^= ((l4 & 0x8) >> 3)
multi_mat_l4_m1 ^= ((l4 & 0x10) >> 3)
multi_mat_l4_m1 ^= ((l4 & 0x20) >> 3)
multi_mat_l4_m1 ^= ((l4 & 0x40) >> 3) ^ ((l4 & 0x1) << 3)
multi_mat_l4_m1 ^= ((l4 & 0x80) >> 3) ^ ((l4 & 0x2) << 3)
multi_mat_l4_m1 ^= ((l4 & 0x04) << 3)
multi_mat_l4_m1 ^= ((l4 & 0x08) << 3)
multi_mat_l4_m1 ^= ((l4 & 0x10) << 3)
multiplied_lane[5] ^= multi_mat_l4_m1
return multiplied_lane
def MultiplyM3(lane) :
multiplied_lane = [lane[(byte-3) % 8] for byte in range(0, 8)]
multiplied_lane[2] ^= ((lane[4] << 2) & 0xff) ^ ((lane[5] << 5) & 0xff)
multiplied_lane[3] ^= ((lane[5] << 2) & 0xff)
multiplied_lane[4] ^= ((lane[2] >> 3) & 0xff) ^ ((lane[3] >> 6) & 0xff) ^ ((lane[6] << 2) & 0xff)
multiplied_lane[6] ^= ((lane[5] << 6) & 0xff)
multiplied_lane[7] ^= ((lane[5] << 3) & 0xff)
# binary matrix M1
multi_mat_l3_m1 = 0
l3 = lane[3]
multi_mat_l3_m1 ^= ((l3 & 0x8) >> 3)
multi_mat_l3_m1 ^= ((l3 & 0x10) >> 3)
multi_mat_l3_m1 ^= ((l3 & 0x20) >> 3)
multi_mat_l3_m1 ^= ((l3 & 0x40) >> 3) ^ ((l3 & 0x1) << 3)
multi_mat_l3_m1 ^= ((l3 & 0x80) >> 3) ^ ((l3 & 0x2) << 3)
multi_mat_l3_m1 ^= ((l3 & 0x04) << 3)
multi_mat_l3_m1 ^= ((l3 & 0x08) << 3)
multi_mat_l3_m1 ^= ((l3 & 0x10) << 3)
# binary matrix M1
multi_mat_l4_m1 = 0
l4 = lane[4]
multi_mat_l4_m1 ^= ((l4 & 0x8) >> 3)
multi_mat_l4_m1 ^= ((l4 & 0x10) >> 3)
multi_mat_l4_m1 ^= ((l4 & 0x20) >> 3)
multi_mat_l4_m1 ^= ((l4 & 0x40) >> 3) ^ ((l4 & 0x1) << 3)
multi_mat_l4_m1 ^= ((l4 & 0x80) >> 3) ^ ((l4 & 0x2) << 3)
multi_mat_l4_m1 ^= ((l4 & 0x04) << 3)
multi_mat_l4_m1 ^= ((l4 & 0x08) << 3)
multi_mat_l4_m1 ^= ((l4 & 0x10) << 3)
# binary matrix M2
multi_mat_l4_m2 = 0
l4 = lane[4]
multi_mat_l4_m2 ^= ((l4 & 0x40) >> 6)
multi_mat_l4_m2 ^= ((l4 & 0x80) >> 6)
multi_mat_l4_m2 ^= (l4 & 0x08)
multi_mat_l4_m2 ^= (l4 & 0x10)
multi_mat_l4_m2 ^= (l4 & 0x20)
multi_mat_l4_m2 ^= (l4 & 0x40) ^ ((l4 & 0x1) << 6)
multi_mat_l4_m2 ^= (l4 & 0x80) ^ ((l4 & 0x2) << 6)
multiplied_lane[5] ^= multi_mat_l3_m1 ^ multi_mat_l4_m2
multiplied_lane[6] ^= multi_mat_l4_m1
return multiplied_lane
def MultiplyMR(lane) :
multiplied_lane = [lane[(byte+1) % 8] for byte in range(0, 8)]
multiplied_lane[2] ^= ((lane[4] >> 3) & 0xff)
multiplied_lane[4] ^= ((lane[6] << 3) & 0xff)
multiplied_lane[5] ^= ((lane[3] << 2) & 0xff)
return multiplied_lane
def MultiplyMR2(lane) :
multiplied_lane = [lane[(byte+2) % 8] for byte in range(0, 8)]
multiplied_lane[1] ^= ((lane[4] >> 3) & 0xff)
multiplied_lane[2] ^= ((lane[5] >> 3) & 0xff)
multiplied_lane[3] ^= ((lane[6] << 3) & 0xff)
multiplied_lane[4] ^= ((lane[3] << 2) & 0xff) ^ ((lane[7] << 3) & 0xff)
multiplied_lane[5] ^= ((lane[4] << 2) & 0xff)
# binary matrix m3
multi_mat_l6_m3 = 0
l6 = lane[6]
multi_mat_l6_m3 ^= (l6 & 0x1)
multi_mat_l6_m3 ^= (l6 & 0x2)
multi_mat_l6_m3 ^= (l6 & 0x4)
multi_mat_l6_m3 ^= (l6 & 0x8)
multi_mat_l6_m3 ^= (l6 & 0x10)
multiplied_lane[2] ^= multi_mat_l6_m3
return multiplied_lane
def MultiplyMR3(lane) :
multiplied_lane = [lane[(byte+3) % 8] for byte in range(0, 8)]
multiplied_lane[0] ^= ((lane[4] >> 3) & 0xff)
multiplied_lane[1] ^= ((lane[5] >> 3) & 0xff)
multiplied_lane[3] ^= ((lane[3] << 2) & 0xff) ^ ((lane[7] << 3) & 0xff)
multiplied_lane[4] ^= ((lane[0] << 3) & 0xff) ^ ((lane[4] << 2) & 0xff)
multiplied_lane[5] ^= ((lane[5] << 2) & 0xff) ^ ((lane[6] << 5) & 0xff)
# binary matrix m3
multi_mat_l6_m3 = 0
l6 = lane[6]
multi_mat_l6_m3 ^= (l6 & 0x1)
multi_mat_l6_m3 ^= (l6 & 0x2)
multi_mat_l6_m3 ^= (l6 & 0x4)
multi_mat_l6_m3 ^= (l6 & 0x8)
multi_mat_l6_m3 ^= (l6 & 0x10)
# binary matrix m3
multi_mat_l7_m3 = 0
l7 = lane[7]
multi_mat_l7_m3 ^= (l7 & 0x1)
multi_mat_l7_m3 ^= (l7 & 0x2)
multi_mat_l7_m3 ^= (l7 & 0x4)
multi_mat_l7_m3 ^= (l7 & 0x8)
multi_mat_l7_m3 ^= (l7 & 0x10)
# binary matrix m4
multi_mat_l3_m4 = 0
l3 = lane[3]
multi_mat_l3_m4 ^= ((l3 & 0x2) >> 1)
multi_mat_l3_m4 ^= ((l3 & 0x4) >> 1)
multi_mat_l3_m4 ^= ((l3 & 0x8) >> 1)
multi_mat_l3_m4 ^= ((l3 & 0x10) >> 1)
multi_mat_l3_m4 ^= ((l3 & 0x20) >> 1)
# binary matrix m1 for MR
multi_mat_l6_m1 = 0
l6 = lane[6]
multi_mat_l6_m1 ^= ((l6 & 0x8) >> 3)
multi_mat_l6_m1 ^= ((l6 & 0x10) >> 3)
multi_mat_l6_m1 ^= ((l6 & 0x20) >> 3)
multi_mat_l6_m1 ^= ((l6 & 0x40) >> 3) ^ ((l6 & 0x1) << 3)
multi_mat_l6_m1 ^= ((l6 & 0x80) >> 3) ^ ((l6 & 0x2) << 3)
multi_mat_l6_m1 ^= ((l6 & 0x4) << 3)
multi_mat_l6_m1 ^= ((l6 & 0x8) << 3)
multi_mat_l6_m1 ^= ((l6 & 0x10) << 3)
multiplied_lane[1] ^= multi_mat_l6_m3
multiplied_lane[2] ^= multi_mat_l3_m4 ^ multi_mat_l6_m1 ^ multi_mat_l7_m3
return multiplied_lane
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