1. Secondary constructions of plateaued Boolean functions through addition of indicatorsEnes Pašalić, Sadmir Kudin, Samir Hodžić, Dilawar Abbas Khan, 2026, izvirni znanstveni članek Opis: Recently, the design of $s$-plateaued functions over $\F_2^n$, whose Walsh spectra take values in ${0,\pm 2^{\frac{n+s}{2}}}$, has been studied algorithmically to identify balanced plateaued functions of maximal algebraic degree, called optimal. In this article, we characterize optimal plateaued functions within the Generalized Maiorana-McFarland (GMM) class and provide sufficient conditions for them to have no nonzero linear structures. By adapting a technique of C. Carlet for modifying bent functions in the Maiorana-McFarland ($\cM$) class, we derive new classes of plateaued functions from $GMM$, including the subclass $\cD_0$ when $\phi$ is non-injective, although under more restrictive conditions. We also identify conditions ensuring plateauedness in the resulting $\cC$ class. Finally, using indicator functions of the form $1_{E_1}(x)1_{E_2}(y)$ for suitably chosen subspaces $E_1\subseteq\F_2^k$ and $E_2\subseteq\F_2^{n-k}$, we construct plateaued functions outside GMM.
Ključne besede: plateaued functions, linear structures, GMM class
Objavljeno v RUP: 19.08.2026; Ogledov: 334; Prenosov: 28
 Celotno besedilo (373,64 KB)
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3. 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: 4780; Prenosov: 49
Celotno besedilo (1,24 MB) |
4. On applications of quantum algorithms in cryptanalysis of block ciphers : master's thesisDraženka Višnjić, 2021, magistrsko delo Ključne besede: quantum algorithms, cryptanalysis of block ciphers, postquantum analysis, Simon's algorithm, Grover's algorithm, Bernstein-Vazirani's algorithm, Kuperberg's algorithm, Feistel network, SPN, FX
Objavljeno v RUP: 18.10.2021; Ogledov: 4162; Prenosov: 59
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