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On a class of permutation trinomials over finite fields - MaRDI portal

On a class of permutation trinomials over finite fields (Q6579130)

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scientific article; zbMATH DE number 7887281

Language	Label	Description	Also known as
English	On a class of permutation trinomials over finite fields	scientific article; zbMATH DE number 7887281

Statements

scholarly article

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On a class of permutation trinomials over finite fields (English)

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Burcu Gülmez Temür

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Turkish Journal of Mathematics

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publication date

25 July 2024

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zbMATH Keywords

permutation polynomials

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finite fields

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Hasse-Weil bound

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cryptography

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MaRDI profile type

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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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Permutation polynomials, fractional polynomials, and algebraic curves

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

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The Magma algebra system. I: The user language

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The analytic representation of substitutions on a power of a prime number of letters with a discussion of the linear group. I, II.

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Complete characterization of a class of permutation trinomials in characteristic five

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

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

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

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A survey of permutation binomials and trinomials over finite fields

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Applications of the Hasse-Weil bound to permutation polynomials

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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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New classes of permutation binomials and permutation trinomials over finite fields

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New constructions of permutation polynomials of the form \(x^rh\left( x^{q-1}\right) \) over \({\mathbb F}_{q^2}\)

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Handbook of 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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Permutation polynomials and group permutation polynomials

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A class of permutation trinomials over finite fields of odd characteristic

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

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Identifiers

10.55730/1300-0098.3540

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:6579130

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