Determine the multiplicative inverse of (x^{3}+x+1) in (mathrm{GF}left(2^{4}ight)) with (m(x)=x^{4}+x+1)

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Determine the multiplicative inverse of \(x^{3}+x+1\) in \(\mathrm{GF}\left(2^{4}ight)\) with \(m(x)=x^{4}+x+1\)

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