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A new class of permutation trinomials constructed from Niho exponents (Q1667444)

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Language	Label	Description	Also known as
English	A new class of permutation trinomials constructed from Niho exponents	scientific article

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scholarly article

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A new class of permutation trinomials constructed from Niho exponents (English)

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Cryptography and Communications

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publication date

28 August 2018

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full work available at URL

https://arxiv.org/abs/1707.00549

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zbMATH Keywords

finite fields

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permutation trinomials

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Niho exponents

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multiplicative inequivalent

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MaRDI profile type

MaRDI publication profile

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Permutation polynomials, fractional polynomials, and algebraic curves

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A class of binary cyclic codes with generalized Niho exponents

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A family of skew Hadamard difference sets

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Permutation Trinomials Over Finite Fields with Even Characteristic

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Almost perfect nonlinear power functions on GF(2/sup n/): the Welch case

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Niho type cross-correlation functions via dickson polynomials and Kloosterman sums

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Construction of bent functions via Niho power functions

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Some new classes of permutation trinomials over finite fields with even characteristic

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Determination of a type of permutation trinomials over finite fields

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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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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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Further results on a class of permutation polynomials over finite fields

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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 two conjectures about permutation trinomials over \(\mathbb{F}_{3^{2k}}\)

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New classes of permutation binomials and permutation trinomials over finite fields

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New permutation trinomials constructed from fractional polynomials

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Handbook of Finite Fields

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Permutation polynomials and group permutation polynomials

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Constructing Differentially 4-Uniform Permutations Over <formula formulatype="inline"><tex Notation="TeX">${\BBF}_{2^{2k}}$</tex> </formula> via the Switching Method

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Several classes of complete permutation polynomials

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

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An Open Problem on the Distribution of a Niho-Type Cross-Correlation Function

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Permutation polynomials from trace functions over finite fields

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The weight distribution of a class of \(p\)-ary cyclic codes

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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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Further results on permutation trinomials over finite fields with even characteristic

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Identifiers

zbMATH Open document ID

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10.1007/s12095-017-0263-4

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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:1667444

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