New methods for generating permutation polynomials over finite fields

DOI10.1016/J.FFA.2011.02.012zbMath1245.11114OpenAlexW2055966415MaRDI QIDQ650825

Lei Hu, Xiwang Cao

Publication date: 7 December 2011

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

Full work available at URL: https://doi.org/10.1016/j.ffa.2011.02.012

zbMATH Keywords

finite fieldlinearized polynomialpermutation polynomial

Mathematics Subject Classification ID

Polynomials over finite fields (11T06) Finite fields (field-theoretic aspects) (12E20)

Related Items (13)

Constructing permutation polynomials from piecewise permutations ⋮ Several classes of permutation polynomials of the form \((x^{p^m} - x + \delta)^s + x\) over \(\mathbb{F}_{p^{2m}}\) ⋮ Some permutation pentanomials over finite fields with even characteristic ⋮ Two new classes of permutation trinomials over \(\mathbb{F}_{q^3}\) with odd characteristic ⋮ Two classes of permutation trinomials over \(\mathbb{F}_{q^3}\) in characteristic two ⋮ Two classes of permutation polynomials over finite fields ⋮ Triple-Cycle Permutations Over Finite Fields of Characteristic Two ⋮ Constructing permutations and complete permutations over finite fields via subfield-valued polynomials ⋮ Complete permutation polynomials over finite fields of odd characteristic ⋮ Some permutation polynomials over finite fields ⋮ Further results on permutation polynomials over finite fields ⋮ Permutation polynomials over finite fields -- a survey of recent advances ⋮ New classes of permutation trinomials over \(\mathbb{F}_{q^3}\)

Cites Work

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• A note on constructing permutation polynomials
• More explicit classes of permutation polynomials of \(\mathbb F_{3^{3m}}\)
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• Permutation polynomials of the form \(x^r f(x^{(q-1)/d)}\) and their group structure
• Permutation polynomials of the \((x^p - x+\delta)^s+L(x)\)
• Commutative presemifields and semifields
• A class of permutation polynomials of \(\mathbb F_{2^m}\) related to Dickson polynomials
• On a Class of Permutation Polynomials over $\mathbb{F}_{2^n}$
• When Does a Polynomial Over a Finite Field Permute the Elements of the Field?
• When Does a Polynomial over a Finite Field Permute the Elements of the Field?, II
• Non-p-generic and strongly nonbranching degree
• ON SOME CLASSES OF PERMUTATION POLYNOMIALS

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