Cryptography, Cybersecurity.
x³+x²+x. a: 1x^3 b: 1x^2 + 1 b^{-1}: 1x^3 + 1x + 1 p: GF(2^4) [1, 0, 0, 1, 1] Add: 1x^3 + 1x^2 + 1 Subtract: 1x^3 + 1x^2 + 1 Multiply: 1x^3 + 1x^2 + 1x Divide: 1x^2 + 1x + 1 You can try the example here. Example 3. For a=x³+1 (9–1001b) and b=x²+1 (5–101b) with a primitive of x⁴+x+1 (GF(2⁴)), for