A note regarding permutation binomials over \(\mathbb{F}_{q^2}\)

DOI10.1016/j.ffa.2015.01.010zbMath1393.11080arXiv1406.4847OpenAlexW1993338525MaRDI QIDQ2348168

Stephen D. Lappano

Publication date: 10 June 2015

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.4847

zbMATH Keywords

finite fieldpermutation polynomialbinomialHermite criterion

Mathematics Subject Classification ID

Polynomials over finite fields (11T06) Arithmetic theory of polynomial rings over finite fields (11T55)

Related Items (10)

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 ⋮ On piece-wise permutation polynomials ⋮ Binomial permutations over finite fields with even characteristic ⋮ Permutation polynomials over finite fields -- a survey of recent advances ⋮ Applications of the Hasse-Weil bound to permutation polynomials ⋮ A note regarding permutation binomials over \(\mathbb{F}_{q^2}\)

Cites Work

• Determination of a type of permutation binomials over finite fields
• A class of permutation binomials over finite fields
• A note regarding permutation binomials over \(\mathbb{F}_{q^2}\)
• Handbook of Finite Fields
• Determination of a type of permutation trinomials over finite fields
• A survey of permutation binomials and trinomials over finite fields

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