Complete characterization of a class of permutation trinomials in characteristic five (Q6587218)

scientific article; zbMATH DE number 7896636

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English	Complete characterization of a class of permutation trinomials in characteristic five	scientific article; zbMATH DE number 7896636

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instance of

scholarly article

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title

Complete characterization of a class of permutation trinomials in characteristic five (English)

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Cryptography and Communications

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publication date

13 August 2024

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zbMATH Keywords

permutation polynomials

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finite fields

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absolutely irreducible

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MaRDI profile type

Publication

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cites work

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

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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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Q5051742

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A short note on polynomials f(X) = X + AX1+q2(q−1)/4 + BX1+3q2(q−1)/4 ∈ 𝔽q2[X], q even

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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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On a conjecture on APN permutations

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More permutation polynomials with Niho exponents which permute $\mathbb{F}_{q^2} $

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Exceptional planar polynomials

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Ideals, Varieties, and Algorithms

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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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A note on a class of permutation trinomials

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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 binomials and trinomials

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On the classification of exceptional planar functions over $\mathbb F_p$

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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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Applications of the Hasse-Weil bound to permutation polynomials

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Lectures on Finite Fields

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Number of Points of Varieties in Finite Fields

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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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Several classes of complete permutation polynomials with Niho exponents

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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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Algebraic Function Fields and Codes

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Planar functions over fields of characteristic two

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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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Several classes of permutation trinomials over $\mathbb {F}_{5^{n}}$ from Niho exponents

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Two types of permutation polynomials with special forms

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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

Mathematics Subject Classification ID

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10.1007/S12095-024-00705-2

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Sitelinks

Mathematics(1 entry)

mardi Publication:6587218