Six New Classes of Permutation Trinomials over $\mathbb{F}_{2^{n}}$ (Q4578012)

scientific article; zbMATH DE number 6914190

Language	Label	Description	Also known as
English	Six New Classes of Permutation Trinomials over $\mathbb{F}_{2^{n}}$	scientific article; zbMATH DE number 6914190

Statements

instance of

scholarly article

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title

Six New Classes of Permutation Trinomials over $\mathbb{F}_{2^{n}}$ (English)

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published in

SIAM Journal on Discrete Mathematics

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publication date

7 August 2018

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zbMATH Keywords

finite field

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permutation polynomial

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permutation trinomial

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multivariate method

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MaRDI profile type

MaRDI publication profile

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cites work

On constructing permutations of finite fields

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On polynomials of the form $x^{r}f(x^{(q - 1)/l})$

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On permutation trinomials of type $x^{2 p^s + r} + x^{p^s + r} + \lambda x^r$

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On some permutation binomials and trinomials over $\mathbb{F}_{2^n}$

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Sparse permutations with low differential uniformity

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Cyclic Codes from Some Monomials and Trinomials

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Permutation Trinomials Over Finite Fields with Even Characteristic

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

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Almost perfect nonlinear power functions on GF(2/sup n/): the Welch case

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

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Q4934413

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Q4421620

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

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A class of permutation polynomials of $\mathbb F_{2^m}$ related to Dickson polynomials

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A survey of permutation binomials and trinomials over finite fields

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A class of permutation trinomials over finite fields

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Determination of a type of permutation trinomials over finite fields. II

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Permutation polynomials and applications to coding theory

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Q4392147

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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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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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Q3136948

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Handbook of Finite Fields

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Permutation polynomials and group permutation polynomials

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Several classes of complete 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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A class of new permutation trinomials

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

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Cyclotomic Mapping Permutation Polynomials over Finite Fields

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Cyclotomy and permutation polynomials of large indices

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

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

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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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full work available at URL

https://doi.org/10.1137/17m1156666

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Identifiers

zbMATH Open document ID

1393.05022

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DOI

10.1137/17M1156666

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:4578012