Further results on permutation polynomials and complete permutation polynomials over finite fields (Q2142919)

scientific article

Language	Label	Description	Also known as
English	Further results on permutation polynomials and complete permutation polynomials over finite fields	scientific article

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title

Further results on permutation polynomials and complete permutation polynomials over finite fields (English)

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30 May 2022

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zbMATH Keywords

finite field

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AGW criterion

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permutation polynomial

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complete permutation polynomial

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.3934/math.2021783

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cites work

On constructing permutations of finite fields

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A family of skew Hadamard difference sets

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Binary cyclic codes from explicit polynomials over \(\mathrm{GF}(2^m)\)

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

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Permutation polynomials and applications to coding theory

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New classes of complete permutation polynomials

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A link between two classes of permutation polynomials

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Permutation polynomials \((x^{p^m} - x + \delta)^{s_1} +(x^{p^m} - x + \delta)^{s_2} + x\) over \(\mathbb{F}_{p^n}\)

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Q5690468

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Some classes of permutation polynomials over finite fields with odd characteristic

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Q3136948

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Q3958555

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Permutation polynomials of the form \((x^{p^m} - x + \delta)^s + L(x)\) over the finite field \(\mathbb{F}_{p^{2 m}}\) of odd characteristic

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Further results on permutation polynomials of the form \((x^{p^m} - x + \delta)^s + L(x)\) over \(\mathbb{F}_{p^{2 m}}\)

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Complete permutation polynomials over finite fields of odd characteristic

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Constructions of complete permutation polynomials

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Permutation polynomials over \(\mathbb{F}_{2^n}\) of the form \((x^{2^i} + x + \delta)^{s_1} +(x^{2^i} + x + \delta)^{s_2} + x\)

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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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More classes of permutation polynomials of the form \((x^{p^m}-x+\delta)^s+L(x)\)

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Two types of permutation polynomials with special forms

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Identifiers

Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:2142919