Several classes of permutation polynomials based on the AGW criterion over the finite field \(\mathbb{F}_{2^{2m}}\) (Q6191067)

scientific article; zbMATH DE number 7814052

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English	Several classes of permutation polynomials based on the AGW criterion over the finite field \(\mathbb{F}_{2^{2m}}\)	scientific article; zbMATH DE number 7814052

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instance of

scholarly article

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title

Several classes of permutation polynomials based on the AGW criterion over the finite field \(\mathbb{F}_{2^{2m}}\) (English)

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Finite Fields and their Applications

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publication date

6 March 2024

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zbMATH Keywords

permutation polynomial

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complete permutation polynomial

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trace function

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bent function

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1016/j.ffa.2024.102378

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cites work

Q4570865

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Applied Algebra, Algebraic Algorithms and Error-Correcting Codes

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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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On the inverses of some classes of permutations of finite fields

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New Families of Codebooks Achieving the Levenstein Bound

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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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Binary cyclic codes from explicit polynomials over \(\mathrm{GF}(2^m)\)

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Linear Codes With Two or Three Weights From Weakly Regular Bent Functions

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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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A note on complete polynomials over finite fields and their applications in cryptography

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Further results on permutation polynomials from trace functions

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Some new forms of permutation polynomials based on the AGW criterion

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On constructing permutations of finite fields

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Q3452597

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Optimal Codebooks From Binary Codes Meeting the Levenshtein Bound

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

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

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A family of skew Hadamard difference sets

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Strongly regular graphs associated with ternary bent functions

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Several New Infinite Families of Bent Functions and Their Duals

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Permutation polynomials from trace functions over finite fields

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Permutation polynomials over finite fields from a powerful lemma

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On the solution of algebraic equations over finite fields

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Q3081625

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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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Permutation polynomials and applications to coding theory

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Minimal linear codes from weakly regular bent functions

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Further results on permutation polynomials over finite fields

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Identifiers

Mathematics Subject Classification ID

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10.1016/J.FFA.2024.102378

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Sitelinks

Mathematics(1 entry)

mardi Publication:6191067