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22. Design methods for semi-bent functionsEnes Pašalić, Sugata Gangopadhyay, WeiGuo Zhang, Samed Bajrić, 2019, original scientific article Abstract: Semi-bent functions play an important role in the construction of orthogonal variable spreading factor codes used in code-division multiple-access (CDMA) systems as well as in certain cryptographic applications. In this article we provide several infinite classes of semi-bent functions, where each class is characterized by either a different decomposition of such a function with respect to the Walsh spectra of its subfunctions, or by the method used for its derivation. In particular, we also give the exact number of possibilities of decomposing bent functions, in a subclass of the Maiorana-McFarland class. Keywords: cryptography, Boolean functions, bent functions, semi-bent functions, derivatives Published in RUP: 19.12.2018; Views: 3165; Downloads: 171 Link to full text |
23. Full characterization of generalized bent functions as (semi)-bent spaces, their dual, and the Gray imageSamir Hodžić, Wilfried Meidl, Enes Pašalić, 2018, original scientific article Keywords: generalized bent functions, Zq-bent functions, Gray maps, dual of generalized bent function, relative difference sets Published in RUP: 08.06.2018; Views: 1854; Downloads: 100 Link to full text |
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25. O nekaterih konstrukcijah kriptografsko pomembnih Boolovih funkcij : doktorska disertacijaSamed Bajrić, 2014, doctoral dissertation 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 in RUP: 22.11.2017; Views: 2632; Downloads: 53 Link to full text |
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27. Karakterizacija posplošnih zlomljenih funkcij in nekatere druge kriptografske teme : doktorska disertacijaSamir Hodžić, 2017, doctoral dissertation 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 in RUP: 09.11.2017; Views: 2454; Downloads: 57 Link to full text |
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29. Pythagorean-hodograph cycloidal curvesJernej Kozak, Marjetka Knez, Mladen Rogina, Vito Vitrih, 2015, original scientific article Abstract: In the paper, Pythagorean-hodograph cycloidal curves as an extension of PH cubics are introduced. Their properties are examined and a constructive geometric characterization is established. Further, PHC curves are applied in the Hermite interpolation, with closed form solutions been determined. The asymptotic approximation order analysis carried out indicates clearly which interpolatory curve solution should be selected in practice. This makes the curves introduced here a useful practical tool, in particular in algorithms that guide CNC machines. Keywords: pitagorejski hodograf, C-krivulje, trigonometrične funkcije, karakterizacija, Hermiteova interpolacija, asimptotični red aproksimacije, Pythagorean-hodograph, C-curves, trigonometric functions, characterization, Hermite interpolation, asymptotic approximation order Published in RUP: 08.08.2016; Views: 2624; Downloads: 198 Link to full text |
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