Some permutation pentanomials over finite fields with even characteristic (Q1679714)

scientific article; zbMATH DE number 6810619

Language	Label	Description	Also known as
English	Some permutation pentanomials over finite fields with even characteristic	scientific article; zbMATH DE number 6810619

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instance of

scholarly article

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title

Some permutation pentanomials over finite fields with even characteristic (English)

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Finite Fields and their Applications

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publication date

21 November 2017

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zbMATH Keywords

finite field

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permutation pentanomial

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permutation trinomial

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fractional polynomial

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1016/j.ffa.2017.10.005

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cites work

New methods for generating permutation polynomials over finite fields

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Some theorems on permutation polynomials

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Explicit classes of permutation polynomials of $\mathbb F_{3^{3m}}$

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Permutation Trinomials Over Finite Fields with Even Characteristic

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Almost perfect nonlinear power functions on $\mathrm{GF}(2^n)$: the Niho case.

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

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Determination of a type of permutation binomials over finite fields

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A class of permutation binomials over finite fields

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A class of permutation trinomials over finite fields

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A survey of permutation binomials and trinomials over finite fields

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

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A note regarding permutation binomials over $\mathbb{F}_{q^2}$

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New classes of permutation binomials and permutation trinomials over finite fields

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New permutation trinomials constructed from fractional polynomials

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Further results on a class of permutation polynomials over finite fields

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Several classes of permutation trinomials from Niho exponents

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Some new results on permutation polynomials over finite fields

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Permutation binomials over finite fields

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Permutation polynomials and group permutation polynomials

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Two classes of permutation polynomials having the form $(x^{2^m}+x+\delta)^s+x$

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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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Permutation polynomials of the form $x^r f(x^{(q-1)/d)}$ and their group structure

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Complete permutation polynomials over finite fields of odd characteristic

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

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Permutation polynomials of the $(x^p - x+\delta)^s+L(x)$

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Permutation polynomials over finite fields from a powerful lemma

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Two new permutation polynomials with the form ${\left(x^{2^k}+x+\delta\right)^{s}+x}$ over ${\mathbb{F}_{2^n}}$

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Permutation polynomials from trace functions over finite fields

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Two classes of permutation polynomials over finite fields

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Further results on permutation trinomials over finite fields with even characteristic

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On some permutation polynomials over $\mathbb {F}_q$ of the form $x^r h(x^{(q-1)/d})$

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Identifiers

zbMATH Open document ID

1392.11094

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Mathematics Subject Classification ID

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10.1016/J.FFA.2017.10.005

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Sitelinks

Mathematics(1 entry)

mardi Publication:1679714