A piecewise construction of permutation polynomials over finite fields

DOI10.1016/j.ffa.2012.08.010zbMath1254.05008OpenAlexW2061750487MaRDI QIDQ690428

Neranga Fernando, Xiang-Dong Hou

Publication date: 27 November 2012

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

Full work available at URL: https://doi.org/10.1016/j.ffa.2012.08.010

zbMATH Keywords

finite fieldpermutation polynomialnormal basis

Mathematics Subject Classification ID

Polynomials over finite fields (11T06)

Related Items (16)

Piecewise constructions of inverses of cyclotomic mapping permutation polynomials ⋮ Constructing permutation polynomials from piecewise permutations ⋮ Large classes of permutation polynomials over \(\mathbb {F}_{q^2}\) ⋮ A note on inverses of cyclotomic mapping permutation polynomials over finite fields ⋮ Permutations from an arithmetic setting ⋮ On the inverses of some classes of permutations of finite fields ⋮ A general construction of permutation polynomials of \(\mathbb{F}_{q^2}\) ⋮ On inverses of some permutation polynomials over finite fields of characteristic three ⋮ Several classes of complete permutation polynomials ⋮ On piece-wise permutation polynomials ⋮ Cyclotomy and permutation polynomials of large indices ⋮ Constructing permutations and complete permutations over finite fields via subfield-valued polynomials ⋮ Compositional inverses and complete mappings over finite fields ⋮ Some new results on permutation polynomials over finite fields ⋮ Permutation polynomials over finite fields -- a survey of recent advances ⋮ Piecewise constructions of inverses of some permutation polynomials

Cites Work

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• On constructing permutations of finite fields
• Permutation polynomials over finite fields from a powerful lemma
• Two new permutation polynomials with the form \({\left(x^{2^k}+x+\delta\right)^{s}+x}\) over \({\mathbb{F}_{2^n}}\)
• New Kloosterman sums identities over \(\mathbb F_{2^m}\) for all \(m\).
• Permutation polynomials of the \((x^p - x+\delta)^s+L(x)\)
• The number of solutions of a special system of equations in a finite field
• Some theorems on permutation polynomials
• Two classes of permutation polynomials over finite fields
• Two classes of permutation polynomials over finite fields

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