These are the irreducible polynomials over *GF(2)* used to represent field elements: * *x2 + x + 1* * *x3 + x + 1* * *x4 + x + 1* * *x5 + x2 + 1* * *x6 + x + 1* * *x7 + x + 1* * *x8 + x4 + x3 + x + 1* * *x9 + x + 1* * *x10 + x3 + 1* * *x11 + x2 + 1* * *x12 + x3 + 1* * *x13 + x4 + x3 + x + 1* * *x14 + x5 + 1* * *x15 + x + 1* * *x16 + x5 + x3 + x + 1* * *x17 + x3 + 1* * *x18 + x3 + 1* * *x19 + x5 + x2 + x + 1* * *x20 + x3 + 1* * *x21 + x2 + 1* * *x22 + x + 1* * *x23 + x5 + 1* * *x24 + x4 + x3 + x + 1* * *x25 + x3 + 1* * *x26 + x4 + x3 + x + 1* * *x27 + x5 + x2 + x + 1* * *x28 + x + 1* * *x29 + x2 + 1* * *x30 + x + 1* * *x31 + x3 + 1* * *x32 + x7 + x3 + x2 + 1* * *x33 + x10 + 1* * *x34 + x7 + 1* * *x35 + x2 + 1* * *x36 + x9 + 1* * *x37 + x6 + x4 + x + 1* * *x38 + x6 + x5 + x + 1* * *x39 + x4 + 1* * *x40 + x5 + x4 + x3 + 1* * *x41 + x3 + 1* * *x42 + x7 + 1* * *x43 + x6 + x4 + x3 + 1* * *x44 + x5 + 1* * *x45 + x4 + x3 + x + 1* * *x46 + x + 1* * *x47 + x5 + 1* * *x48 + x5 + x3 + x2 + 1* * *x49 + x9 + 1* * *x50 + x4 + x3 + x2 + 1* * *x51 + x6 + x3 + x + 1* * *x52 + x3 + 1* * *x53 + x6 + x2 + x + 1* * *x54 + x9 + 1* * *x55 + x7 + 1* * *x56 + x7 + x4 + x2 + 1* * *x57 + x4 + 1* * *x58 + x19 + 1* * *x59 + x7 + x4 + x2 + 1* * *x60 + x + 1* * *x61 + x5 + x2 + x + 1* * *x62 + x29 + 1* * *x63 + x + 1* * *x64 + x4 + x3 + x + 1*