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On a class of permutation quadrinomials - MaRDI portal

On a class of permutation quadrinomials (Q6669416)

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scientific article; zbMATH DE number 7973178

Language	Label	Description	Also known as
English	On a class of permutation quadrinomials	scientific article; zbMATH DE number 7973178

Statements

scholarly article

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On a class of permutation quadrinomials (English)

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Michael E. Zieve

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Journal of Algebra and its Applications

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publication date

22 January 2025

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zbMATH Keywords

permutation polynomial

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finite field

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MaRDI profile type

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A new class of permutation trinomials constructed from Niho exponents

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On a conjecture about a class of permutation trinomials

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Permutation polynomials, fractional polynomials, and algebraic curves

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Permutation polynomials of the type \(x^rg(x^{s})\) over \({\mathbb {F}}_{q^{2n}}\)

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

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Permutation Trinomials Over Finite Fields with Even Characteristic

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Low-degree permutation rational functions over finite fields

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Determination of a class of permutation quadrinomials

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Existence and nonexistence of permutation trinomials and quadrinomials

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A new approach to permutation polynomials over finite fields. II

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A recursive construction of permutation polynomials over \(\mathbb F_{q^2}\) with odd characteristic related to Rédei functions

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5. Results on permutation polynomials of shape x<sup>t</sup> + γTr<sub>q</sub> <sup>n</sup>/<sub>q</sub>(x<sup>d</sup>)

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Several new permutation quadrinomials over finite fields of odd characteristic

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More results about a class of quadrinomials over finite fields of odd characteristic

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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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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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On a class of permutation trinomials in characteristic 2

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Determination of a class of permutation trinomials in characteristic three

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Permutation polynomials of the form \(X + \gamma \mathrm{Tr}(X^k)\)

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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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On a conjecture about a class of permutation quadrinomials

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New classes of complete permutation polynomials

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

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A note on permutation polynomials over finite fields

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Classification of permutation polynomials of the form \(x^3g(x^{q-1})\) of \(\mathbb{F}_{q^2}\) where \(g(x)=x^3+bx+c\) and \(b, c \in\mathbb{F}_q^*\)

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Classification of some quadrinomials over finite fields of odd characteristic

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Complete characterization of some permutation polynomials of the form \(x^r (1+ax^{s_1(q-1)}+bx^{s_2(q-1)})\) over \(\mathbb{F}_{q^2}\)

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A revisit to a class of permutation quadrinomials

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A class of permutation trinomials over finite fields of odd characteristic

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New permutation quadrinomials over \(\mathbb{F}_{2^{2m}}\)

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A class of permutation quadrinomials

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A class of new permutation trinomials

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Several classes of complete permutation polynomials over finite fields of even characteristic

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

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Further results on permutation trinomials over finite fields with even characteristic

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SOME FAMILIES OF PERMUTATION POLYNOMIALS OVER FINITE FIELDS

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Identifiers

Mathematics Subject Classification ID

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zbMATH DE Number

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10.1142/S0219498825500756

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Sitelinks

Mathematics(1 entry)

mardi Publication:6669416

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