Fengrong Zhang

activity

20122026

most citedFurther study on the maximum number of bent components of vectorial functions

2 citations · 2 across the 9 of their papers we have counts for

collaborators

10 papers

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.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…