Some families of permutation polynomials over finite fields

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Zieve, Michael E.
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Abstract
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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.
Comment: 7 pages
Keywords
Mathematics - Number Theory, 11T06
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