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2. Konstrukcije novih superrazredov ukrivljenih funkcij in nadaljnje konstrukcije kriptografsko pomembnih preslikav izven M# : doktorska disertacijaAmar Bapić, 2022, doctoral dissertation Keywords: 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 Published in RUP: 12.12.2022; Views: 1286; Downloads: 15 Link to full text |
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4. Divergence zero quaternionic vector fields and Hamming graphsJasna Prezelj, Fabio Vlacci, 2020, original scientific article Abstract: 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 ▫$(2, 2)$▫. Keywords: quaternionic power series, bidegree full functions, Hamming graph, linearly independent quaternionic monomials Published in RUP: 03.01.2022; Views: 1001; Downloads: 16 Full text (354,73 KB) |
5. On characterization of transparency order for (n, m)-functionsYu Zhou, Yongzhuang Wei, Hailong Zhang, LuYang Li, Enes Pašalić, Wenling Wu, 2021, published scientific conference contribution Keywords: (n, m)-functions, transparency order, nonlinearity, cross-correlation Published in RUP: 18.11.2021; Views: 1089; Downloads: 21 Link to full text |
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