E. Pasalic

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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 $f (x, y) = x \cdot I ¨ (y) + h (y)$ , where $x \in F_{2}^{m - 1}$ and $y \in F_{2}^{m + 1}$ , whic…

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

Almost Maiorana-McFarland bent functions

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