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Make a field of 4 elements, and the addition and multiplication table for this field.

Make a field of 4 elements, and the addition and multiplication table for this field.

Solution Preview

Let F=Z2={0,1}, x^2+x+1 is an irreducible polynomial over F, then
F[x]/(x^2+x+1) = { 0, 1, x, x+1 } is a field of 4 ...

Solution Summary

A field of 4 elements is formed and the addition and multiplication table for this field are shown.

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