Cryptography, Cybersecurity.
of x⁴+x+1 (GF(2⁴)), for addition we get x³+x²+x (14–1110b), and for multiplication we get x³+x (11–1010b). a: 1x^2 + 1x + 1 b: 1x^3 + 1 b^{-1}: 1x p: GF(2^4) [1, 0, 0, 1, 1] Add: 1x^3 + 1x^2 + 1x Subtract: 1x^3 + 1x^2 + 1x Multiply: 1x^3 + 1x Divide: 1x^3 + 1x^2 + 1x You can try the example here.