S. Kudin

activity

20242026

collaborators

Showing math.COShow all

4 papers · 1 filter

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…

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…

Permutations satisfying (P1​) and (P2​) properties and ℓ-optimal bent functions

Almost Maiorana-McFarland bent functions

Vectorial Negabent Concepts: Similarities, Differences, and Generalizations

Bent functions satisfying the dual bent condition and permutations with the (Am​) property

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

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