Fengrong Zhang

activity

20122026

most citedDesigning plateaued Boolean functions in spectral domain and their classification

2 citations · 4 across the 10 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…

math.CO2023

On Constructions and Enumeration of Vectorial Hyper-bent Functions in the $\cP\cS_{ap}^{\#}$ Class

Jingkun Zhou, Chunming Tang, Fengrong Zhang

The purpose of this paper is to give explicit constructions of vectorial hyper-bent functions in the $\cP\cS_{ap}^{\#}$ class. It seems that the explicit constructions were so far…

cs.IT2018★ 2 cited

Designing plateaued Boolean functions in spectral domain and their classification

S. Hodžić, E. Pasalic, Y. Wei +1

The design of plateaued functions over $GF (2)^{n}$ , also known as 3-valued Walsh spectra functions (taking the values from the set ${0, \pm 2^{⌈ \frac{n + s}{2} ⌉}}$ ), has…

cs.IT2018★ 2 cited

Further study on the maximum number of bent components of vectorial functions

Sihem Mesnager, Fengrong Zhang, Chunming Tang +1

In 2018, Pott, at al. have studied in [IEEE Transactions on Information Theory. Volume: 64, Issue: 1, 2018] the maximum number of bent components of vectorial function. They have p…

cs.CR2012

Secondary Constructions of Bent Functions and Highly Nonlinear Resilient Functions

Fengrong Zhang, Claude Carlet, Yupu Hu +1

In this paper, we first present a new secondary construction of bent functions (building new bent functions from two already defined ones). Furthermore, we apply the construction u…