Several classes of permutation polynomials of the form \((x^{p^m} - x + \delta)^s + L(x)\) (Q6646805)

scientific article; zbMATH DE number 7952462

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English	Several classes of permutation polynomials of the form \((x^{p^m} - x + \delta)^s + L(x)\)	scientific article; zbMATH DE number 7952462

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instance of

scholarly article

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title

Several classes of permutation polynomials of the form \((x^{p^m} - x + \delta)^s + L(x)\) (English)

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Advances in Mathematics of Communications

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publication date

3 December 2024

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zbMATH Keywords

finite field

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permutation polynomials

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complete permutation polynomials

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MaRDI profile type

Publication

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cites work

On constructing permutations of finite fields

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On the solution of algebraic equations over finite fields

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New methods for generating permutation polynomials over finite fields

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New Kloosterman sums identities over \(\mathbb F_{2^m}\) for all \(m\).

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Several classes of permutation polynomials over the finite field \(\mathbb{F}_{p^{2 m}}\)

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New classes of permutation binomials and permutation trinomials over finite fields

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Permutation polynomials \((x^{p^m} - x + \delta)^{s_1} +(x^{p^m} - x + \delta)^{s_2} + x\) over \(\mathbb{F}_{p^n}\)

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Further results on a class of permutation polynomials over finite fields

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Some classes of permutation polynomials over finite fields with odd characteristic

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Further results on permutation polynomials and complete permutation polynomials over finite fields

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New secondary constructions of differentially 4-uniform permutations over

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A class of permutation quadrinomials

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Two classes of permutation polynomials having the form \((x^{2^m}+x+\delta)^s+x\)

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Permutation polynomials of the form \((x^{p^m} - x + \delta)^s + L(x)\) over the finite field \(\mathbb{F}_{p^{2 m}}\) of odd characteristic

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Further results on permutation polynomials of the form \((x^{p^m} - x + \delta)^s + L(x)\) over \(\mathbb{F}_{p^{2 m}}\)

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Some new results on permutation polynomials of the form \(b (x^q + ax + \delta)^s - ax\) over \(\mathbb{F}_{q^2}\)

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Several classes of permutation polynomials of the form \((x^{p^m} - x + \delta)^s + x\) over \(\mathbb{F}_{p^{2m}}\)

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Complete permutation polynomials with the form \((x^{p^m} - x + \delta)^s + a x^{p^m} + b x\) over \(\mathbb{F}_{p^n}\)

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Permutation polynomials over finite fields from a powerful lemma

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Further results on permutation polynomials over finite fields

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Four classes of permutation polynomials of \(\mathbb F_{2^m}\)

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Permutation polynomials of the \((x^p - x+\delta)^s+L(x)\)

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Permutation polynomials from piecewise functions

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Permutation polynomials from trace functions over finite fields

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Two new permutation polynomials with the form \({\left(x^{2^k}+x+\delta\right)^{s}+x}\) over \({\mathbb{F}_{2^n}}\)

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Permutation polynomials over \(\mathbb{F}_{2^n}\) of the form \((x^{2^i} + x + \delta)^{s_1} +(x^{2^i} + x + \delta)^{s_2} + x\)

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Two classes of permutation polynomials over finite fields

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Some classes of permutation polynomials of the form \((x^{p^m}-x+\delta)^s+x\) over \(\mathbb{F}_{p^{2m}}\)

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More classes of permutation polynomials of the form \((x^{p^m}-x+\delta)^s+L(x)\)

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More classes of permutation quadrinomials from Niho exponents in characteristic two

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On constructions and properties of \((n,m)\)-functions with maximal number of bent components

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Large classes of permutation polynomials over \(\mathbb {F}_{q^2}\)

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Identifiers

Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6646805