Permutation polynomials of the form \(L(x) + S_{2k}^a + S_{2k}^b\) over \(\mathbb{F}_{q^{3k}}\)

DOI10.1016/j.ffa.2014.04.004zbMath1297.11149OpenAlexW2330292921MaRDI QIDQ740301

Pingzhi Yuan, Cunsheng Ding

Publication date: 2 September 2014

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

Full work available at URL: https://doi.org/10.1016/j.ffa.2014.04.004

zbMATH Keywords

sequencesdifference setspermutation polynomialshighly nonlinear functions

Mathematics Subject Classification ID

Polynomials over finite fields (11T06) Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10)

Related Items (12)

Corrigenda to ``Permutation polynomials over finite fields from a powerful lemma, ``Further results on permutation polynomials over finite fields, ``Permutation polynomials of the form \(L(x) + S_{2k}^a + S_{2k}^b\) over \(\mathbb{F}_{q^{3k}}\) ⋮ Compositional inverses of AGW-PPs -- dedicated to Professor Cunsheng Ding for his 60th birthday ⋮ On permutation polynomials of the formx^1+2k+ L(x) ⋮ From \(r\)-linearized polynomial equations to \(r^m\)-linearized polynomial equations ⋮ Further results on permutation polynomials via linear translators ⋮ Unnamed Item ⋮ Constructing permutations and complete permutations over finite fields via subfield-valued polynomials ⋮ Permutation polynomials from piecewise functions ⋮ Some new classes of permutation trinomials over finite fields with even characteristic ⋮ A note on the permutation behaviour of the polynomial $g_{n,q}$ ⋮ Permutation polynomials over finite fields -- a survey of recent advances ⋮ Determination of a type of permutation binomials and trinomials

Cites Work

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• On constructing permutations of finite fields
• Permutation polynomials over finite fields from a powerful lemma
• A family of skew Hadamard difference sets
• Permutation polynomials and applications to coding theory
• Binary sequences with optimal autocorrelation
• Highly nonlinear mappings
• A new approach to permutation polynomials over finite fields. II
• Proof of a conjecture on permutation polynomials over finite fields
• Classes of Permutation Polynomials Based on Cyclotomy and an Additive Analogue
• A method for obtaining digital signatures and public-key cryptosystems
• Permutation Polynomials in RSA-Cryptosystems
• Optimal Ternary Cyclic Codes From Monomials
• SOME FAMILIES OF PERMUTATION POLYNOMIALS OVER FINITE FIELDS

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