Cryptography, Cybersecurity.
Example 5. For a=x²+x (6–110b) and b=x⁴+x²+1 (21–10101b) with a primitive of x⁶+x⁵+x⁴+x³+x²+x (GF(2⁸)), for addition we get x⁴+1x+1 (19–10011b), and for multiplication we get x⁶+x⁵+x⁴+x³+x²+x. a: 1x^2 + 1x b: 1x^4 + 1x^2 + 1 b^{-1}: 1x^4 + 1x^2 + 1x + 1 p: GF(2^7) [1, 0, 0, 1, 1, 1, 0, 1] Add: 1x^4