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1. Classification of permutation polynomials of the form x3g(xq-1) of Fq2 where g(x)=x3+bx+c and b,c∈Fq∗.

Author

Özbudak, Ferruh and Gülmez Temür, Burcu

Subjects
POLYNOMIALS, FINITE fields, CLASSIFICATION
Abstract

We classify all permutation polynomials of the form x 3 g (x q - 1) of F q 2 where g (x) = x 3 + b x + c and b , c ∈ F q ∗ . Moreover we find new examples of permutation polynomials and we correct some contradictory statements in the recent literature. We assume that gcd (3 , q - 1) = 1 and we use a well known criterion due to Wan and Lidl, Park and Lee, Akbary and Wang, Wang, and Zieve. [ABSTRACT FROM AUTHOR]

Published
2022
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