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Determine the multiplicative inverse of x 3 + x 2 + 1 in GF (2 4 ), using the prime irreducible polynomial m(x) = x

Determine the multiplicative inverse of x³+ x²+ 1 in GF (2⁴), using the prime irreducible polynomial m(x) = x⁴+ x + 1 as the modulo polynomial. Adapt the extended Euclid's GCD algorithm to polynomials.

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