Complete permutation polynomials over finite fields of odd characteristic

DOI10.1016/j.ffa.2014.08.002zbMath1320.11121OpenAlexW2090415080MaRDI QIDQ473092

Xiwang Cao, Guangkui Xu

Publication date: 21 November 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.2014.08.002

zbMATH Keywords

finite fieldspermutation polynomialDickson polynomialcomplete permutation polynomial

Mathematics Subject Classification ID

Polynomials over finite fields (11T06)

Related Items (14)

New classes of complete permutation polynomials ⋮ Further results on permutation polynomials and complete permutation polynomials over finite fields ⋮ New classes of permutation binomials and permutation trinomials over finite fields ⋮ Coset-wise affine functions and cycle types of complete mappings ⋮ Complete mappings and Carlitz rank ⋮ Several classes of complete permutation polynomials with Niho exponents ⋮ Cycle types of complete mappings of finite fields ⋮ Some permutation pentanomials over finite fields with even characteristic ⋮ Complete permutation polynomials with the form \((x^{p^m} - x + \delta)^s + a x^{p^m} + b x\) over \(\mathbb{F}_{p^n}\) ⋮ Compositions and parities of complete mappings and of orthomorphisms ⋮ Further results on permutation polynomials via linear translators ⋮ On some permutation binomials and trinomials over \(\mathbb{F}_{2^n}\) ⋮ On derivatives of planar mappings and their connections to complete mappings ⋮ Constructions of complete permutation polynomials

Cites Work

• New methods for generating permutation polynomials over finite fields
• Permutation polynomials and applications to coding theory
• On polynomials of the form \(x^{r}f(x^{(q - 1)/l})\)
• Explicit classes of permutation polynomials of \(\mathbb F_{3^{3m}}\)
• Permutation polynomials of the form \(x^r f(x^{(q-1)/d)}\) and their group structure
• One-to-one highly nonlinear power functions on \(\mathrm{GF}(2^n)\)
• Several classes of complete permutation polynomials
• Monomial bent functions
• Cubic Monomial Bent Functions: A Subclass of $\mathcal{M}$
• On some permutation polynomials over $\mathbb {F}_q$ of the form $x^r h(x^{(q-1)/d})$
• Complete Mapping Polynomials over Finite Field F 16
• A generalized Lucas sequence and permutation binomials
• Two classes of permutation polynomials over finite fields
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