Question: Consider the field with 16 elements constructed using the irreducible polynomial f(x)=1+x3 +x4 overF2. (i) Let be a root of f (x). Show that is

Consider the field with 16 elements constructed using the irreducible polynomial f(x)=1+x3 +x4 overF2. (i) Let be a root of f (x). Show that is a primitive element of F16. Represent each element both as a polynomial and as a power of . (ii) Construct a Zech's log table for the field

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