More constructions of \(n\)-cycle permutations (Q2701057)

scientific article; zbMATH DE number 7680309

Language	Label	Description	Also known as
English	More constructions of \(n\)-cycle permutations	scientific article; zbMATH DE number 7680309

Statements

instance of

scholarly article

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title

More constructions of \(n\)-cycle permutations (English)

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Finite Fields and their Applications

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publication date

27 April 2023

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full work available at URL

https://arxiv.org/abs/2207.10491

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zbMATH Keywords

finite field

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permutation polynomial

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the AGW criterion

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\(n\)-cycle permutation

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describes a project that uses

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On constructing permutations of finite fields

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On the Carlitz rank of permutation polynomials over finite fields: recent developments

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Q5051742

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A family of permutation trinomials over \(\mathbb{F}_{q^2}\)

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PRINCE – A Low-Latency Block Cipher for Pervasive Computing Applications

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On the Behaviors of Affine Equivalent Sboxes Regarding Differential and Linear Attacks

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Q3062268

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Involutions Over the Galois Field

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On the constructions of \(n\)-cycle permutations

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Q4570865

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Q2760977

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Permutation Trinomials Over Finite Fields with Even Characteristic

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Q3293678

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Permutations on finite fields with invariant cycle structure on lines

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Some new classes of permutation trinomials over finite fields with even characteristic

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Permutation polynomials over finite fields -- a survey of recent advances

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Determination of a class of permutation trinomials in characteristic three

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Permutation polynomials of the form \(X + \gamma \mathrm{Tr}(X^k)\)

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New classes of permutation binomials and permutation trinomials over finite fields

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Permutation polynomials of the form \(cx+\mathrm{Tr}_{q^l/ q}(x^a)\) and permutation trinomials over finite fields with even characteristic

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New permutation trinomials constructed from fractional polynomials

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Several classes of complete permutation polynomials with Niho exponents

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On two conjectures about permutation trinomials over \(\mathbb{F}_{3^{2k}}\)

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Several classes of permutation trinomials from Niho exponents

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New permutation trinomials from Niho exponents over finite fields with even characteristic

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A survey on the applications of Niho exponents

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Triple-Cycle Permutations Over Finite Fields of Characteristic Two

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New constructions of involutions over finite fields

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Finding Compositional Inverses of Permutations From the AGW Criterion

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Two classes of permutation trinomials with Niho exponents

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On the inverses of some classes of permutations of finite fields

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Permutation trinomials over \(\mathbb{F}_{2^m}\)

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Characterizations and constructions of triple-cycle permutations of the form \(x^rh(x^s)\)

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Some permutation pentanomials over finite fields with even characteristic

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Four classes of permutation polynomials of \(\mathbb F_{2^m}\)

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Two-to-one mappings and involutions without fixed points over \(\mathbb{F}_{2^n}\)

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Some classes of permutation polynomials of the form \((x^{p^m}-x+\delta)^s+x\) over \(\mathbb{F}_{p^{2m}}\)

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Further results on permutation trinomials over finite fields with even characteristic

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Permutation polynomials of the form \(x + \gamma \mathrm{Tr}_q^{q^n}(h(x))\)

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Constructions of Involutions Over Finite Fields

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Two types of permutation polynomials with special forms

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Two classes of permutation trinomials with Niho exponents

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Identifiers

Mathematics Subject Classification ID

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10.1016/J.FFA.2023.102187

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Sitelinks

Mathematics(1 entry)

mardi Publication:2701057