Determination of a type of permutation binomials over finite fields

DOI10.1016/j.jnt.2014.06.021zbMath1394.11081arXiv1312.5283OpenAlexW2569344859MaRDI QIDQ472812

Xiang-Dong Hou, Stephen D. Lappano

Publication date: 20 November 2014

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.5283

zbMATH Keywords

finite fieldpermutation polynomialbinomialHermite criterion

Mathematics Subject Classification ID

Polynomials over finite fields (11T06)

Related Items (14)

A survey on the applications of Niho exponents ⋮ New classes of permutation binomials and permutation trinomials over finite fields ⋮ Necessary and sufficient conditions of two classes of permutation polynomials ⋮ Permutation binomials of the form \(x^r (x^{q-1} +a)\) over \(\mathbb{F}_{q^e}\) ⋮ Some permutation pentanomials over finite fields with even characteristic ⋮ Permutation polynomials with Carlitz rank 2 ⋮ On some permutation binomials and trinomials over \(\mathbb{F}_{2^n}\) ⋮ Binomial permutations over finite fields with even characteristic ⋮ Several classes of complete permutation polynomials over finite fields of even characteristic ⋮ Permutation polynomials over finite fields -- a survey of recent advances ⋮ Applications of the Hasse-Weil bound to permutation polynomials ⋮ Determination of a type of permutation binomials and trinomials ⋮ Permutation binomials over finite fields ⋮ A note regarding permutation binomials over \(\mathbb{F}_{q^2}\)

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