Determination of a class of permutation quadrinomials (Q6051617)

scientific article; zbMATH DE number 7740475

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English	Determination of a class of permutation quadrinomials	scientific article; zbMATH DE number 7740475

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instance of

scholarly article

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title

Determination of a class of permutation quadrinomials (English)

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Proceedings of the London Mathematical Society

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publication date

20 September 2023

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full work available at URL

https://arxiv.org/abs/2203.04216

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MaRDI publication profile

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cites work

On a conjecture about a class of permutation trinomials

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

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Note on a problem of Chowla

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Q4718157

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NOTES ON CONGRUENCES (I)

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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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A New Family of Exceptional Rational Functions

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A new approach to permutation polynomials over finite fields. II

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Schur covers and Carlitz's conjecture

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Classification of fractional projective permutations over finite fields

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

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The rational function analogue of a question of Schur and exceptionality of permutation representations

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A new family of exceptional polynomials in characteristic two

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Exceptional Covers and Bijections on Rational Points

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Polynomials with $\text{PSL}(2)$ monodromy

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A geometric approach to permutation polynomials over a finite field

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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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Permutation polynomials of ${\rm{F}}_{q^2 } $ of the form aX + Xr(q−1)+1

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On a class of permutation trinomials in characteristic 2

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On permutation quadrinomials with boomerang uniformity 4 and the best-known nonlinearity

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Completely characterizing a class of permutation quadrinomials

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Cryptographically strong permutations from the butterfly structure

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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 permutation trinomials constructed from fractional polynomials

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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 note on ``Cryptographically strong permutations from the butterfly structure''

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On Permutation Quadrinomials and 4-Uniform BCT

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

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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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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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Algebraic Function Fields and Codes

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A revisit to a class of permutation quadrinomials

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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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Binomial permutations over finite fields with even characteristic

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A class of new permutation trinomials

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

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

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On the boomerang uniformity of a class of permutation quadrinomials over finite fields

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Some permutation pentanomials over finite fields with even characteristic

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Further results on permutation trinomials over finite fields with even characteristic

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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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More classes of permutation quadrinomials from Niho exponents in characteristic two

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SOME FAMILIES OF PERMUTATION POLYNOMIALS OVER FINITE FIELDS

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Identifiers

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Mathematics Subject Classification ID

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Mathematics(1 entry)

mardi Publication:6051617