Develop a table similar to Table 4.9 for (mathrm{GF}left(2^{4}ight)) with (m(x)=x^{4}+x+1). Table 4.9 Generator for GF(2) using

Develop a table similar to Table 4.9 for \(\mathrm{GF}\left(2^{4}ight)\) with \(m(x)=x^{4}+x+1\).

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Table 4.9 Generator for GF(2) using x + x + 1 Power Polynomial Representation Representation 0 1 g 0 g(=g7) bol g + 1 g + g g+g+1 g + 1 Binary Representation 000 001 010 100 011 110 111 101 Decimal (Hex) Representation 0 1 2 4 3 6 7 5