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1.
Karakterizacija posplošnih zlomljenih funkcij in nekatere druge kriptografske teme
Samir Hodžić, 2017, doktorska disertacija

Najdeno v: ključnih besedah
Povzetek najdenega: ...algebraic attacks, algebraic immunity, derivatives, linear structures, planar mappings...
Ključne besede: generalized bent functions, Zq-bent functions, Gray maps, (relative) difference sets, (generalized) Marioana-McFarland class, stream ciphers, filtering generator, guess and determine cryptanalysis, tap positions, (fast) algebraic attacks, algebraic immunity, derivatives, linear structures, planar mappings
Objavljeno: 09.11.2017; Ogledov: 989; Prenosov: 13
URL Polno besedilo (0,00 KB)

2.
O nekaterih konstrukcijah kriptografsko pomembnih Boolovih funkcij
Samed Bajrić, 2014, doktorska disertacija

Najdeno v: ključnih besedah
Povzetek najdenega: ...binomial trace functions, symetric polynomials, linenarized polynomials, planar mappings, disjoint spectra, plateaued functions, semi-bent functions,...
Ključne besede: Boolean functions, vectorial (generalized) bent functions, binomial trace functions, symetric polynomials, linenarized polynomials, planar mappings, disjoint spectra, plateaued functions, semi-bent functions, cross-correlation, sum-of-squares indicator
Objavljeno: 22.11.2017; Ogledov: 1084; Prenosov: 9
URL Polno besedilo (0,00 KB)

3.
On derivatives of planar mappings and their connections to complete mappings
Amela Muratović-Ribić, Enes Pašalić, 2018, izvirni znanstveni članek

Opis: Given are necessary conditions for a permutation polynomial to be the derivative of a planar mapping. These conditions are not sufficient and there might exist permutation polynomials which are not derivatives of some planar mapping satisfying these conditions. For the first time we show that there is a close connection between two seemingly unrelated structures, namely planar and complete mappings. It is shown that any planar mapping induces a sequence of complete mappings having some additional interesting properties. Furthermore, a class of almost planar mappings over extension fields is introduced having the property that its derivatives are permutations in most of the cases. This class of functions then induces many infinite classes of complete mappings (permutations) as well.
Najdeno v: ključnih besedah
Ključne besede: planar mapping, derivatives, complete mappings, permutation polynomials
Objavljeno: 19.12.2018; Ogledov: 649; Prenosov: 112
URL Polno besedilo (0,00 KB)

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