Question: Coding Theory mathematics problem: PROBLEM 5. Consider the ring R = Zola]/(x2 + 1). (i) Find a primitive element f(x) in R. That is, a

Coding Theory mathematics problem:

PROBLEM 5. Consider the ring R = Zola]/(x2 + 1). (i) Find a primitive element f(x) in R. That is, a polynomial f() such that the powers f(@), f(), f(x), . .., f(a) are all distinct nonzero elements of R. (ii) Find the inverse of every nonzero element in R

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