= x4. Consider the ring B (Z2[x])24+23+1, the set of equivalence classes of polynomials in Z2[x] under the congruence-mo
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= x4. Consider the ring B (Z2[x])24+23+1, the set of equivalence classes of polynomials in Z2[x] under the congruence-mo
= x4. Consider the ring B (Z2[x])24+23+1, the set of equivalence classes of polynomials in Z2[x] under the congruence-modulo-(x4 + x3 + 1) relation. (a) How many elements does B have? (b) Show that B is a field. (c) Find the multiplicative inverses of x and x2 + x +1 in B. (d) Find a generator of the multiplicative group of B. (e) Find an element in B of multiplicative order 5.
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