More classes of permutation quadrinomials from Niho exponents in characteristic two (Q2066392)

scientific article; zbMATH DE number 7457359

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English	More classes of permutation quadrinomials from Niho exponents in characteristic two	scientific article; zbMATH DE number 7457359

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instance of

scholarly article

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title

More classes of permutation quadrinomials from Niho exponents in characteristic two (English)

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Finite Fields and their Applications

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publication date

14 January 2022

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zbMATH Keywords

finite field

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Niho exponent

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permutation quadrinomial

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Dickson polynomial

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unit circle

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1016/j.ffa.2021.101962

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cites work

On constructing permutations of finite fields

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On a conjecture about a class of permutation trinomials

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

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On trinomials of type \(X^{n+m}(1+AX^{m(q -1)}+BX^{n(q -1)})\), \(n,m\) odd, over \(\mathbb{F}_{q^2}\), \(q=2^{2s+1}\)

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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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Determination of a class of permutation trinomials in characteristic three

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Solving \(x^{2^k + 1} + x + a = 0\) in \(\mathbb{F}_{2^n}\) with \(\gcd(n, k) = 1\)

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A conjecture on permutation trinomials over finite fields of characteristic two

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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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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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On a conjecture about a class of permutation quadrinomials

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Several classes of complete permutation polynomials with Niho exponents

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On Permutation Quadrinomials and 4-Uniform BCT

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A survey on the applications of Niho exponents

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A revisit to a class of permutation quadrinomials

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Two classes of permutation trinomials with Niho exponents

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A class of permutation trinomials over finite fields of odd characteristic

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A class of permutation quadrinomials

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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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15. Polynomials over finite fields: an index approach

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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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Two classes of permutation trinomials with Niho exponents over finite fields with even characteristic

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Two classes of permutation trinomials with Niho exponents

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Identifiers

zbMATH Open document ID

1487.05017

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Mathematics Subject Classification ID

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10.1016/J.FFA.2021.101962

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Sitelinks

Mathematics(1 entry)

mardi Publication:2066392