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Constructing permutation trinomials via monomials on the subsets of \(\mu_{q+1}\) - MaRDI portal

Constructing permutation trinomials via monomials on the subsets of \(\mu_{q+1}\) (Q2689921)

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Language	Label	Description	Also known as
English	Constructing permutation trinomials via monomials on the subsets of \(\mu_{q+1}\)	scientific article

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scholarly article

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Constructing permutation trinomials via monomials on the subsets of \(\mu_{q+1}\) (English)

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Applicable Algebra in Engineering, Communication and Computing

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publication date

14 March 2023

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zbMATH Keywords

permutation trinomials

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monomials

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finite fields

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subset

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/s00200-021-00505-8

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On constructing permutations of finite fields

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

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A family of skew Hadamard difference sets

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A recursive construction of permutation polynomials over \(\mathbb F_{q^2}\) with odd characteristic related to Rédei functions

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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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A survey of permutation binomials and trinomials over finite fields

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On the Tu-Zeng permutation trinomial of type \(( 1/4, 3/4)\)

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Permutation polynomials of the form <i>X</i> + <i>γ</i> Tr(<i>X<sup>k</sup></i>)

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Permutation polynomials and applications to coding theory

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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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New constructions of permutation polynomials of the form \(x^rh\left( x^{q-1}\right) \) over \({\mathbb F}_{q^2}\)

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A survey on the applications of Niho exponents

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Handbook of Finite Fields

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A method for obtaining digital signatures and public-key cryptosystems

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A class of new permutation trinomials

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Cyclotomic Mapping Permutation Polynomials over Finite Fields

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Cyclotomy and permutation polynomials of large indices

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A note on inverses of cyclotomic mapping permutation polynomials over finite fields

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15. Polynomials over finite fields: an index approach

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Six new classes of permutation trinomials over \(\mathbb{F}_{3^{3k}}\)

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Permutation polynomials from piecewise functions

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

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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

10.1007/s00200-021-00505-8

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2689921

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