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2. Konstrukcije novih superrazredov ukrivljenih funkcij in nadaljnje konstrukcije kriptografsko pomembnih preslikav izven M# : doktorska disertacijaAmar Bapić, 2022, doktorska disertacija Ključne besede: vecotorial bent function, class inclusion, complete Maiorana-McFaralnd class, MNBC functions, secondary constructions, weakly/almost strongly/strongly outside M#, 4-decomposition, SC and CD class, direct and indirect sum
Objavljeno v RUP: 12.12.2022; Ogledov: 2035; Prenosov: 22
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4. Divergence zero quaternionic vector fields and Hamming graphsJasna Prezelj, Fabio Vlacci, 2020, izvirni znanstveni članek Opis: We give a possible extension of the definition of quaternionic power series, partial derivatives and vector fields in the case of two (and then several) non commutative (quaternionic) variables. In this setting we also investigate the problem of describing zero functions which are not null functions in the formal sense. A connection between an analytic condition and a graph theoretic property of a subgraph of a Hamming graph is shown, namely the condition that polynomial vector field has formal divergence zero is equivalent to connectedness of subgraphs of Hamming graphs ▫$H(d, 2)$▫. We prove that monomials in variables ▫$z$▫ and ▫$w$▫ are always linearly independent as functions only in bidegrees ▫$(p, 0)$▫, ▫$(p, 1)$▫, ▫$(0, q)$▫, ▫$(1, q)$▫ and ▫$(2, 2)$▫.
Ključne besede: quaternionic power series, bidegree full functions, Hamming graph, linearly independent quaternionic monomials
Objavljeno v RUP: 03.01.2022; Ogledov: 1444; Prenosov: 17
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5. On characterization of transparency order for (n, m)-functionsYu Zhou, Yongzhuang Wei, Hailong Zhang, LuYang Li, Enes Pašalić, Wenling Wu, 2021, objavljeni znanstveni prispevek na konferenci Ključne besede: (n, m)-functions, transparency order, nonlinearity, cross-correlation
Objavljeno v RUP: 17.11.2021; Ogledov: 1629; Prenosov: 22
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