Cryptography, Cybersecurity.
the multiplication is x³+x+1 (11- 1011b). a: 1x^3 + 1 b: 1x^2 + 1 b^{-1}: 1x^3 + 1x + 1 p: GF(2^4) [1, 0, 0, 1, 1]Add: 1x^3 + 1x^2 Subtract: 1x^3 + 1x^2 Multiply: 1x^3 + 1x + 1 Divide: 1x^3 + 1x^2 You can try the example here. Example 4. For a=x²+x+1 (7–0111b) and b=x³+1 (5–1001b) with a primitive