Almost perfect nonlinear trinomials and hexanomials (Q2011496)

scientific article; zbMATH DE number 6756446

Language	Label	Description	Also known as
English	Almost perfect nonlinear trinomials and hexanomials	scientific article; zbMATH DE number 6756446

Statements

instance of

scholarly article

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title

Almost perfect nonlinear trinomials and hexanomials (English)

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author

Faruk Göloğlu

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published in

Finite Fields and their Applications

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publication date

3 August 2017

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zbMATH Keywords

APN functions

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crooked functions

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describes a project that uses

Magma

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1016/j.ffa.2014.12.006

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cites work

Projective polynomials

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Crooked binomials

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New families of quadratic almost perfect nonlinear trinomials and multinomials

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A few more quadratic APN functions

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On a class of quadratic polynomials with no zeros and its application to APN functions

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Q5327067

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Q3062262

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Classes of Quadratic APN Trinomials and Hexanomials and Related Structures

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Two Classes of Quadratic APN Binomials Inequivalent to Power Functions

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Constructing new APN functions from known ones

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Decomposing bent functions

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Relating three nonlinearity parameters of vectorial functions and building APN functions from bent functions

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Codes, bent functions and permutations suitable for DES-like cryptosystems

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Finite fields and their applications. Character sums and polynomials. Based on the invited talks of the RICAM-workshop, Strobl, Austria, September 2--7, 2012

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Q5747625

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Q4793311

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New cyclic difference sets with Singer parameters

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Q2712106

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

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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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A new almost perfect nonlinear function which is not quadratic

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Maximal recursive sequences with 3-valued recursive cross-correlation functions (Corresp.)

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On the Function Field Sieve and the Impact of Higher Splitting Probabilities

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Solving a $$6120$$ -bit DLP on a Desktop Computer

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Breaking ‘128-bit Secure’ Supersingular Binary Curves

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On the equation $x^{2^l+1}+x+a=0$ over $\mathrm{GF}(2^k)$

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$X^{2^l+1}+x+a$ and related affine polynomials over $\mathrm{GF}(2^k$)

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Characterization of $m$-Sequences of Lengths $2^{2k}-1$ and $2^{k}-1$ With Three-Valued Cross Correlation

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The weight enumerators for several classes of subcodes of the 2nd order binary Reed-Muller codes

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Crooked maps in $\mathbb F_{2^n}$

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Handbook of finite fields

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Q4934708

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On the Walsh spectrum of a family of quadratic APN functions with five terms

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A new family of semifields with 2 parameters

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Identifiers

zbMATH Open document ID

1368.11128

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Mathematics Subject Classification ID

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10.1016/J.FFA.2014.12.006

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Sitelinks

Mathematics(1 entry)

mardi Publication:2011496