Nonexistence of permutation binomials of certain shapes

被引：0

作者：

Masuda, Ariane M. ^{[1
]}

Zieve, Michael E.

机构：

[1] Univ Ottawa, Dept Math & Stat, Ottawa, ON K1N 6N5, Canada

[2] Ctr Commun Res, Princeton, NJ 08540 USA

来源：

ELECTRONIC JOURNAL OF COMBINATORICS | 2007年 / 14卷 / 01期

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D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Suppose x(m) + ax(n) is a permutation polynomial over F-p, where p > 5 is prime and m > n > 0 and a is an element of F-p*. We prove that gcd(m - n, p - 1) is not an element of {2, 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.

引用

页数：5