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arXiv · 0707.1102

Nonexistence of permutation binomials of certain shapes

Ariane M. Masuda·Michael E. Zieve
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Abstract

Suppose x^m + c*x^n is a permutation polynomial over GF(p), where p>5 is prime, m>n>0, and c is in GF(p)^*. We prove that gcd(m-n,p-1) is not 2 or 4. In the special case that either (p-1)/2 or (p-1)/4 is prime, this was conjectured in a recent paper by Masuda, Panario and Wang.

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Ariane M. Masuda, Michael E. Zieve. 2007-07-07. Nonexistence of permutation binomials of certain shapes. https://arxiv.org/abs/0707.1102

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