GF(2^6) mod x^6 + x^3 + 1 (II)

Stevie O

Polynomial info:

g: x
Algebraic: x^6 + x^3 + 1
Decimal: 73
Hex: 0x49
Degree: 6
'1' bits: 3
Is irreducible? True
Cycle length: 9

g^0 = 0x1 1 [1]
g^1 = 0x2 2 [x]
g^2 = 0x4 4 [x^2]
g^3 = 0x8 8 [x^3]
g^4 = 0x10 16 [x^4]
g^5 = 0x20 32 [x^5]
g^6 = 0x9 9 [x^3 + 1]
g^7 = 0x12 18 [x^4 + x]
g^8 = 0x24 36 [x^5 + x^2]
g^9 = 0x1 1 [1] Duplicate of g^0


Starting at x^2 + 1:

a_0 = [x^2 + 1]
a_1 = [x^3 + x]
a_2 = [x^4 + x^2]
a_3 = [x^5 + x^3]
a_4 = [x^4 + x^3 + 1]
a_5 = [x^5 + x^4 + x]
a_6 = [x^5 + x^3 + x^2 + 1]
a_7 = [x^4 + x + 1]
a_8 = [x^5 + x^2 + x]
a_9 = [x^2 + 1] Duplicate of a_0

Friday, 2 August 2019 16:02 GMT