S. Kudin

activity

20232026

most citedVectorial Negabent Concepts: Similarities, Differences, and Generalizations

1 citations · 1 across the 8 of their papers we have counts for

collaborators

8 papers

cs.IT2026

On different notions related to APN mappings

René Rodríguez-Aldama, Ajla Šehović, Enes Pasalic +1

An APN mapping $F : F_{2^{n}} \to F_{2^{n}}$ is a polynomial characterized by the non-vanishing property on 2-flats. In this work, we analyze notions that are closely re…

math.HO2026

Bent Functions and the Completed Maiorana-McFarland Class

Enes Pasalic, Alexandr Polujan, Fengrong Zhang +1

In this article, we survey some fundamental results and recent advances in the design and analysis of Boolean bent functions from the perspective of their relation to the completed…

math.CO2025

Permutations satisfying $(P_{1})$ and $(P_{2})$ properties and $ℓ$ -optimal bent functions

Sadmir Kudin, Enes Pasalic, Alexandr Polujan +1

An important classification of permutations over $F_{2}^{m}$ , suitable for constructing Maiorana-McFarland bent functions on $F_{2}^{m} \times F_{2}^{m}$ with the un…

math.CO2025

Almost Maiorana-McFarland bent functions

Sadmir Kudin, Enes Pasalic, Alexandr Polujan +2

In this article, we study bent functions on $F_{2}^{2 m}$ of the form $f (x, y) = x \cdot ϕ (y) + h (y)$ , where $x \in F_{2}^{m - 1}$ and $y \in F_{2}^{m + 1}$ , which…

cs.IT2024

When does a bent concatenation not belong to the completed Maiorana-McFarland class?

Sadmir Kudin, Enes Pasalic, Alexandr Polujan +1

Every Boolean bent function $f$ can be written either as a concatenation $f = f_{1} ∣∣ f_{2}$ of two complementary semi-bent functions $f_{1}, f_{2}$ ; or as a concatenation $f=f_1||f_2||f_3||f_…

math.CO2024★ 1 cited

Vectorial Negabent Concepts: Similarities, Differences, and Generalizations

Nurdagül Anbar, Sadmir Kudin, Wilfried Meidl +2

In Pasalic et al., IEEE Trans. Inform. Theory 69 (2023), 2702--2712, and in Anbar, Meidl, Cryptogr. Commun. 10 (2018), 235--249, two different vectorial negabent and vectorial bent…

math.CO2023

Bent functions satisfying the dual bent condition and permutations with the $(A_{m})$ property

Alexandr Polujan, Enes Pasalic, Sadmir Kudin +1

The concatenation of four Boolean bent functions $f = f_{1} ∣∣ f_{2} ∣∣ f_{3} ∣∣ f_{4}$ is bent if and only if the dual bent condition $f_{1}^{*} + f_{2}^{*} + f_{3}^{*} + f_{4}^{*} = 1$ is satisfied. However, to…

cs.IT2023

Design and analysis of bent functions using $M$ -subspaces

Enes Pasalic, Alexandr Polujan, Sadmir Kudin +1

In this article, we provide the first systematic analysis of bent functions $f$ on $F_{2}^{n}$ in the Maiorana-McFarland class $MM$ regarding the origin and cardin…