Two classes of permutation trinomials with Niho exponents (Q5918135)

scientific article; zbMATH DE number 7313148

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English	Two classes of permutation trinomials with Niho exponents	scientific article; zbMATH DE number 7313148

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instance of

scholarly article

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title

Two classes of permutation trinomials with Niho exponents (English)

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Finite Fields and their Applications

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publication date

19 February 2021

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zbMATH Keywords

finite field

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Niho exponent

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permutation trinomial

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1016/j.ffa.2020.101790

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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 a conjecture about a class of permutation trinomials

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On the solution of algebraic equations over finite fields

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More classes of permutation trinomials with Niho exponents

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Permutation Trinomials Over Finite Fields with Even Characteristic

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

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Determination of a type 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 over finite fields -- a survey of recent advances

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On a class of permutation trinomials in characteristic 2

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On the Tu-Zeng permutation trinomial of type $( 1/4, 3/4)$

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Quartics over GF(2 n )

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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 conjecture on permutation trinomials over finite fields of characteristic two

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A survey on the applications of Niho exponents

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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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Handbook of Finite Fields

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Permutation polynomials and group permutation polynomials

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Two classes of permutation trinomials with Niho exponents

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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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General constructions of permutation polynomials of the form $(x^{2^m} + x + \delta)^{i(2^m - 1) + 1} + x$ over $\mathbb{F}_{2^{2 m}}$

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Further results on permutation trinomials with Niho exponents

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Cyclotomic Mapping Permutation Polynomials over Finite Fields

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15. Polynomials over finite fields: an index approach

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

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Note on cubics over $GF(2^n)$ and $GF(3^n)$

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Further results on permutation trinomials over finite fields with even characteristic

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Two types of permutation polynomials with special forms

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On constructions and properties of $(n,m)$-functions with maximal number of bent components

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Large classes of permutation polynomials over $\mathbb {F}_{q^2}$

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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

1459.05005

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DOI

10.1016/j.ffa.2020.101790

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5918135