A class of permutation quadrinomials

DOI10.1016/j.disc.2018.07.021zbMath1395.05005OpenAlexW2885929986MaRDI QIDQ1783613

Tor Helleseth, Ziran Tu, Xiangyong Zeng

Publication date: 21 September 2018

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2018.07.021

zbMATH Keywords

finite fieldpermutation polynomialtrace functionpermutation quadrinomialNiho type exponent

Mathematics Subject Classification ID

Permutations, words, matrices (05A05) Polynomials over finite fields (11T06)

Related Items (5)

Determination of a class of permutation quadrinomials ⋮ Two classes of permutation polynomials with Niho exponents over finite fields with even characteristic ⋮ Several classes of permutation pentanomials with the form \(x^r h(x^{p^m -1})\) over \(\mathbb{F}_{p^{2m}}\) ⋮ More classes of permutation hexanomials and pentanomials over finite fields with even characteristic ⋮ More classes of permutation quadrinomials from Niho exponents in characteristic two

Cites Work

• Unnamed Item
• New classes of permutation binomials and permutation trinomials over finite fields
• Determination of a type of permutation trinomials over finite fields. II
• Some new results on permutation polynomials over finite fields
• Some new classes of permutation trinomials over finite fields with even characteristic
• On constructing permutations of finite fields
• Permutation polynomials of the form \(x^r f(x^{(q-1)/d)}\) and their group structure
• Note on cubics over \(GF(2^n)\) and \(GF(3^n)\)
• A class of new permutation trinomials
• Permutation polynomials, fractional polynomials, and algebraic curves
• Permutation trinomials over \(\mathbb{F}_{2^m}\)
• Further results on permutation trinomials over finite fields with even characteristic
• Permutation polynomials over finite fields -- a survey of recent advances
• On the lifted Zetterberg code
• A class of permutation trinomials over finite fields
• A survey of permutation binomials and trinomials over finite fields
• Permutation Trinomials Over Finite Fields with Even Characteristic
• On some permutation polynomials over $\mathbb {F}_q$ of the form $x^r h(x^{(q-1)/d})$
• Algebraic decoding of the Zetterberg codes
• A Note on Permutation Binomials and Trinomials over Finite Fields
• On the solution of algebraic equations over finite fields

This page was built for publication: A class of permutation quadrinomials