More classes of permutation hexanomials and pentanomials over finite fields with even characteristic (Q6136694)

scientific article; zbMATH DE number 7732837

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English	More classes of permutation hexanomials and pentanomials over finite fields with even characteristic	scientific article; zbMATH DE number 7732837

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instance of

scholarly article

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title

More classes of permutation hexanomials and pentanomials over finite fields with even characteristic (English)

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Finite Fields and their Applications

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publication date

31 August 2023

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zbMATH Keywords

finite field

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hexanomial permutation

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pentanomial permutation

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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.2023.102250

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cites work

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A family of permutation trinomials over $\mathbb{F}_{q^2}$

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Q2712099

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A New Family of APN Quadrinomials

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On a Class of Permutation Polynomials over $\mathbb{F}_{2^n}$

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On the constructions of $n$-cycle permutations

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Permutation polynomials and translation planes of even order

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More classes of permutation trinomials with Niho exponents

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Almost perfect nonlinear power functions on $\mathrm{GF}(2^n)$: the Niho case.

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Determination of a type of permutation trinomials over finite fields. II

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

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

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Monomial bent functions

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Permutation polynomials of degree 6 or 7 over finite fields of characteristic 2

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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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New permutation trinomials constructed from fractional polynomials

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Several classes of complete permutation polynomials with Niho exponents

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New classes of complete permutation 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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On Permutation Quadrinomials and 4-Uniform BCT

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A survey on the applications of Niho exponents

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The number of permutation binomials over ${\mathbb F}_{4p+1}$ where $p$ and $4p+1$ are primes

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Permutation Properties of the Polynomials 1 + x + ⋯+ x k Over a Finite Field

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On permutation polynomials over finite fields

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Permutation polynomials and group permutation polynomials

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Permutation polynomials and orthomorphism polynomials of degree six

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A Class of Quadrinomial Permutations With Boomerang Uniformity Four

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A revisit to a class of permutation quadrinomials

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A class of permutation quadrinomials

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Cyclotomic Mapping Permutation Polynomials over Finite Fields

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15. Polynomials over finite fields: an index approach

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Cyclotomy and permutation polynomials of large indices

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Note on cubics over $GF(2^n)$ and $GF(3^n)$

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On constructing complete permutation polynomials over finite fields of even characteristic

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

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Characterizations and constructions of triple-cycle permutations of the form $x^rh(x^s)$

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Some permutation pentanomials 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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A remark on linear permutation polynomials

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SOME FAMILIES OF PERMUTATION POLYNOMIALS OVER FINITE FIELDS

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Identifiers

zbMATH Open document ID

1520.05006

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Mathematics Subject Classification ID

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10.1016/J.FFA.2023.102250

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Sitelinks

Mathematics(1 entry)

mardi Publication:6136694