1. Let F64 be the field of order 64. a. If F64 = F2[x]/(m(x)) for some irreducible m(x) e F2[x], what is the degree of m
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1. Let F64 be the field of order 64. a. If F64 = F2[x]/(m(x)) for some irreducible m(x) e F2[x], what is the degree of m
1. Let F64 be the field of order 64. a. If F64 = F2[x]/(m(x)) for some irreducible m(x) e F2[x], what is the degree of m(x)? Briefly explain your answer. b. Does F64, the multiplicative group of F64, contain an element of order 11? Briefly explain your answer.
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