Cyclotomic mapping permutation polynomials over finite fields

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Abstract

We explore a connection between permutation polynomials of the form x r f(x(q-1)/l) and cyclotomic mapping permutation polynomials over finite fields. As an application, we characterize a class of permutation binomials in terms of generalized Lucas sequences. © Springer-Verlag Berlin Heidelberg 2007.

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Wang, Q. (2007). Cyclotomic mapping permutation polynomials over finite fields. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 4893 LNCS, pp. 119–128). Springer Verlag. https://doi.org/10.1007/978-3-540-77404-4_11

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