Constructing permutation polynomials from permutation polynomials of subfields (Q6495852)

scientific article; zbMATH DE number 7841536

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English	Constructing permutation polynomials from permutation polynomials of subfields	scientific article; zbMATH DE number 7841536

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instance of

scholarly article

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title

Constructing permutation polynomials from permutation polynomials of subfields (English)

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Finite Fields and their Applications

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publication date

2 May 2024

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zbMATH Keywords

finite fields

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permutation polynomials

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linearized polynomials

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complete mappings

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AGW criterion

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MaRDI profile type

MaRDI publication profile

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cites work

On constructing permutations of finite fields

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On a conjecture about a class of permutation trinomials

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When does \(G(x)+\gamma \, \text{Tr}(H(x))\) permute \(\mathbb F_{p^n}\)?

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Optimal Ternary Cyclic Codes From Monomials

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A family of skew Hadamard difference sets

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

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A general construction of permutation polynomials of \(\mathbb{F}_{q^2}\)

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Permutation polynomials and applications to coding theory

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Constructing permutations of finite fields via linear translators

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Permutation polynomials of the form X + γ Tr(Xk)

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Some new forms of permutation polynomials based on the AGW criterion

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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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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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Permutation Polynomials in RSA-Cryptosystems

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Permutation binomials of the form \(x^r (x^{q-1} +a)\) over \(\mathbb{F}_{q^e}\)

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Handbook of Finite Fields

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New constructions of involutions over finite fields

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Finding Compositional Inverses of Permutations From the AGW Criterion

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A method for obtaining digital signatures and public-key cryptosystems

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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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On the inverses of some classes of permutations of finite fields

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Compositional inverses and complete mappings over finite fields

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General constructions of permutation polynomials of the form \((x^{2^m} + x + \delta)^{i(2^m - 1) + 1} + x\) over \(\mathbb{F}_{2^{2 m}}\)

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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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15. Polynomials over finite fields: an index approach

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

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Further results on permutation polynomials from trace functions

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

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Compositional inverses of AGW-PPs -- dedicated to Professor Cunsheng Ding for his 60th birthday

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

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On Inverses of Permutation Polynomials of Small Degree Over Finite Fields

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Identifiers

DOI

10.1016/j.ffa.2024.102415

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6495852