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A Class of Binomial Permutation Polynomials

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arxiv 1310.0337 v1 pith:RYGTCESI submitted 2013-09-28 math.NT cs.ITmath.COmath.IT

Ziran Tu , Xiangyong Zeng , Lei Hu , Chunlei Li This is my paper · ORCID
classification math.NTcs.ITmath.COmath.IT
keywords permutationpolynomialsbinomialclassbinomialsclassescompleteconsequence
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In this note, a criterion for a class of binomials to be permutation polynomials is proposed. As a consequence, many classes of binomial permutation polynomials and monomial complete permutation polynomials are obtained. The exponents in these monomials are of Niho type.

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  1. Some classes of permutation pentanomials

    math.NT 2025-01 conditional novelty 8.0 of 10

    For every prime p other than 3, this paper builds two large families of five-term permutation polynomials over F_{q^2}, unifying 76 earlier special cases and solving an open problem.

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