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Design methods for semi-bent functions
Enes Pašalić, Sugata Gangopadhyay, WeiGuo Zhang, Samed Bajrić, 2019, izvirni znanstveni članek

Opis: 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.
Ključne besede: cryptography, Boolean functions, bent functions, semi-bent functions, derivatives
Objavljeno v RUP: 19.12.2018; Ogledov: 3165; Prenosov: 171
URL Povezava na celotno besedilo

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Pythagorean-hodograph cycloidal curves
Jernej Kozak, Marjetka Knez, Mladen Rogina, Vito Vitrih, 2015, izvirni znanstveni članek

Opis: 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.
Ključne besede: pitagorejski hodograf, C-krivulje, trigonometrične funkcije, karakterizacija, Hermiteova interpolacija, asimptotični red aproksimacije, Pythagorean-hodograph, C-curves, trigonometric functions, characterization, Hermite interpolation, asymptotic approximation order
Objavljeno v RUP: 08.08.2016; Ogledov: 2625; Prenosov: 198
URL Povezava na celotno besedilo

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Vectorial quadratic bent functions as a product of two linearized polynomials
Samed Bajrić, 2015, objavljeni povzetek znanstvenega prispevka na konferenci

Ključne besede: cryptography, Boolean functions, CCZ inequivalence
Objavljeno v RUP: 08.08.2016; Ogledov: 2239; Prenosov: 27
URL Povezava na celotno besedilo

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