Question

The polynomial x^4+x^3+x^3+x^2+x+1 =p(x) is irreduicible over gf(2) and therefore the algebra of polynomials modulo p(x) is gf2^4. Let m designate the residue class {x} and show that m is not a primitive element and p(x) is not a primitive polynomial . Show that m+1 is primitive and find its minimum polynomial which is a primitive polynomial

Answer 1

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