On some permutation polynomials over Fq of the form x^r h(x^{(q-1)/d})

By Michael E. Zieve. 2007

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Several recent papers have given criteria for certain polynomials to permute F q , in terms of the periods of certain generalized Lucas sequences. We show that these results follow from a more general criterion which does not involve such sequences.

Subfields: Algebra and Number Theory, Artificial Intelligence, Discrete Mathematics and Combinatorics

View Paper: https://www.semanticscholar.org/paper/014df3a9700eecf08fa288bc218f5927152a3ab3