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arXiv:0707.1111 [math.NT]AbstractReferencesReviewsResources

Some families of permutation polynomials over finite fields

Michael E. Zieve

Published 2007-07-07Version 1

We give necessary and sufficient conditions for a polynomial of the form x^r*(1+x^v+x^(2v)+...+x^(kv))^t to permute the elements of the finite field GF(q). Our results yield especially simple criteria in case (q-1)/gcd(q-1,v) is a small prime.

Comments: 7 pages
Journal: Int. J. Number Theory 4 (2008), 851-857
Categories: math.NT
Subjects: 11T06
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