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Št. zadetkov: 6
Study of the algebraic normal form of APN permutations
Ajla Šehović, Enes Pašalić, Alexandr Polujan
Magistrsko delo
Oznake: Boolean function;vectorial Boolean function;S-box;APN function;differential uniformity;algebraic normal form;cubic monomials;
Leto: 2024 Vir: Fakulteta za matematiko, naravoslovje in informacijske tehnologije Koper (UP FAMNIT)
Rotation-symmetric bent functions outside the completed Maiorana-McFarland class
Alexandr Polujan, Sadmir Kudin, Enes Pašalić
Izvirni znanstveni članek
Oznake: bent function;rotation-symmetry;Maiorana-McFarland class;
Rotation-symmetric (RS) bent functions, which are invariant under the action of the cyclic group, have attracted significant attention over the past three decades due to their importance in cryptographic applications. For the last three decades of research on these objects, most known RS bent func- ...
Leto: 2026 Vir: Fakulteta za matematiko, naravoslovje in informacijske tehnologije Koper (UP FAMNIT)
The algebraic characterization of M-subspaces of bent concatenations and its application
Sadmir Kudin, Enes Pašalić, Alexandr Polujan, Fengrong Zhang
Izvirni znanstveni članek
Oznake: bent function;Maiorana-McFarland class;M-subspaces;
Every Boolean bent function f can be written either as a concatenation f = f1|| f2 of two complementary semi-bent functions f1, f2; or as a concatenation f = f1|| f2|| f3|| f4 of four Boolean functions f1, f2, f3, f4, all of which are simultaneously bent, semi-bent, or 5-valued spectra-functions. In ...
Leto: 2025 Vir: Fakulteta za matematiko, naravoslovje in informacijske tehnologije Koper (UP FAMNIT)
Vectorial negabent concepts
Nurdagül Anbar, Sadmir Kudin, Wilfried Meidl, Enes Pašalić, Alexandr Polujan
Izvirni znanstveni članek
Oznake: bent function;Maiorana-McFarland class;negabent functions;
In Pasalic et al. (IEEE Trans Inf Theory 69:2702–2712, 2023), and in Anbar and Meidl (Cryptogr Commun 10:235–249, 2018), two different vectorial negabent and vectorial bent- negabent concepts are introduced, which leads to seemingly contradictory results. One of the main motivations for this article ...
Leto: 2025 Vir: Fakulteta za matematiko, naravoslovje in informacijske tehnologije Koper (UP FAMNIT)
Almost Maiorana-McFarland bent functions
Sadmir Kudin, Enes Pašalić, Alexandr Polujan, Fengrong Zhang, Haixia Zhao
Izvirni znanstveni članek
Oznake: bent functions;Maiorana-McFarland class;M-subspaces;
In this article, we study bent functions on F2m 2 of the form f (x, y) = x·φ(y)+h(y), where x ∈ Fm−1 2 and y ∈ Fm+1 2 , which form the generalized Maiorana-McFarland class (denoted by GMMm+1) and are referred to as almost Maiorana-McFarland bent functions. We provide a complete characterization of t ...
Leto: 2025 Vir: Fakulteta za matematiko, naravoslovje in informacijske tehnologije Koper (UP FAMNIT)
Permutations satisfying (▫$P_1$▫) and (▫$P_2$▫) properties and ▫$\ell$▫-optimal bent functions
Sadmir Kudin, Enes Pašalić, Alexandr Polujan, Fengrong Zhang, Haixia Zhao
Izvirni znanstveni članek
Oznake: bent functions;Maiorana-McFarland class;permutations;
An important classification of permutations over Fm 2 , suitable for construct- ing Maiorana-McFarland bent functions on Fm 2 × Fm 2 with the unique M-subspace of maximal dimension, was recently considered in Pasalic et al (IEEE Trans Inf Theory 70:4464–4477, 2024). More precisely, two properties ca ...
Leto: 2026 Vir: Fakulteta za matematiko, naravoslovje in informacijske tehnologije Koper (UP FAMNIT)
Št. zadetkov: 6
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