In this paper, by using a powerful criterion for permutation polynomials given by Zieve, we give several classes of complete permutation monomials over Fqr . In addition, we present a class of complete permutation multinomials, which is a generalization of recent work.
In this paper, by analyzing the solutions of certain equations over F 3 m , we present four classes of optimal ternary cyclic codes with parameters [3 m − 1, 3 m − 1 − 2m, 4]. It is shown that some recent work on this class of optimal ternary cyclic codes are special cases of our results.
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