Št. zadetkov: 10
Izvirni znanstveni članek
Oznake:
Boolske funkcije;korelacijska imunost;karakterizacija;Walsh-Hadamard transformacija;Hadamard matrice;Boolean functions;correlation immunity;characterization;Walsh-Hadamard transform;Hadamard matrices;
Efficient design methods of low-weight correlation-immune functions and revisiting their basic characterization
Leto:
2020
Vir:
Univerza na Primorskem (UP)
Izvirni znanstveni članek
Oznake:
Boolske funkcije;O'Donnell predpostavka;Walsh preobrazba;Boolean functions;O'Donnell's conjecture;resiliency;Walsh transform;
Leto:
2021
Vir:
Univerza na Primorskem (UP)
Doktorska disertacija
Oznake:
bent functions;nonlinearity;Marioana-McFarland class;permutations;finite fields;correlation immunity;resiliency;
Leto:
2023
Vir:
Fakulteta za matematiko, naravoslovje in informacijske tehnologije Koper (UP FAMNIT)
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)
Izvirni znanstveni članek
Oznake:
bent functions;permutations;linear structures;Maiorana-McFarland;
Leto:
2022
Vir:
Univerza na Primorskem (UP)
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)
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)
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)
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)
Izvirni znanstveni članek
Oznake:
plateaued functions;linear structures;GMM class;
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 fun ...
Leto:
2026
Vir:
Fakulteta za matematiko, naravoslovje in informacijske tehnologije Koper (UP FAMNIT)