1. Karakterizacija posplošnih zlomljenih funkcij in nekatere druge kriptografske temeSamir Hodžić, 2017, doctoral dissertation Found in: ključnih besedah Summary of found: ...algebraic attacks, algebraic immunity, derivatives, linear structures, planar mappings... Keywords: 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 Published: 09.11.2017; Views: 808; Downloads: 11 Full text (0,00 KB) |
2. O nekaterih konstrukcijah kriptografsko pomembnih Boolovih funkcijSamed Bajrić, 2014, doctoral dissertation Found in: ključnih besedah Summary of found: ...binomial trace functions, symetric polynomials, linenarized polynomials, planar mappings, disjoint spectra, plateaued functions, semi-bent functions,... Keywords: 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 Published: 22.11.2017; Views: 848; Downloads: 5 Full text (0,00 KB) |
3. On derivatives of planar mappings and their connections to complete mappingsAmela Muratović-Ribić, Enes Pašalić, 2018, original scientific article Abstract: 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. Found in: ključnih besedah Keywords: planar mapping, derivatives, complete mappings, permutation polynomials Published: 19.12.2018; Views: 524; Downloads: 104 Full text (0,00 KB) |