Jie Peng

activity

20112025

most citedA new construction of differentially 4-uniform permutations over

F_{2^{2 k}}

2 citations · 3 across the 9 of their papers we have counts for

collaborators

9 papers

math.NT2025

Further results on permutation pentanomials over $F_{q^{3}}$ in characteristic two

Tongliang Zhang, Lijing Zheng, Hengtai Wang +2

Let $q = 2^{m} .$ In a recent paper \cite{Zhang3}, Zhang and Zheng investigated several classes of permutation pentanomials of the form $ε_{0} x^{d_{0}} + L (ε_{1} x^{d_{1}} + ε_{2} x^{d_{2}})$ over ${…

cs.IT2024

Minimal Ternary Linear Codes from Vectorial Functions

Yanjun Li, Haibin Kan, Fangfang Liu +3

The study on minimal linear codes has received great attention due to their significant applications in secret sharing schemes and secure two-party computation. Until now, numerous…

cs.IT2023

Characterization for a generic construction of bent functions and its consequences

Yanjun Li, Jinjie Gao, Haibin Kan +3

In this letter, we give a characterization for a generic construction of bent functions. This characterization enables us to obtain another efficient construction of bent functions…

cs.IT2022

Minimal Binary Linear Codes from Vectorial Boolean Functions

Yanjun Li, Jie Peng, Haibin Kan +1

Recently, much progress has been made to construct minimal linear codes due to their preference in secret sharing schemes and secure two-party computation. In this paper, we put fo…

cs.IT2021★ 1 cited

Constructing new APN functions through relative trace functions

Lijing Zheng, Haibin Kan, Yanjun Li +2

In 2020, Budaghyan, Helleseth and Kaleyski [IEEE TIT 66(11): 7081-7087, 2020] considered an infinite family of quadrinomials over $F_{2^{n}}$ of the form $x^3+a(x^{2^s+1})…

cs.IT2019

Constructing vectorial bent functions via second-order derivatives

Lijing Zheng, Jie Peng, Haibin Kan +1

Let $n$ be an even positive integer, and $m < n$ be one of its positive divisors. In this paper, inspired by a nice work of Tang et al. on constructing large classes of bent function…

cs.IT2019

On constructions and properties of $(n, m)$ -functions with maximal number of bent components

Lijing Zheng, Jie Peng, Haibin Kan +2

For any positive integers $n = 2 k$ and $m$ such that $m \geq k$ , in this paper we show the maximal number of bent components of any $(n, m)$ -functions is equal to $2^{m} - 2^{m - k}$ , and…

cs.IT2014★ 2 cited

A new construction of differentially 4-uniform permutations over $F_{2^{2 k}}$

Jie Peng, Chik How Tan, Qichun Wang

Permutations over $F_{2^{2 k}}$ with low differential uniform, high algebraic degree and high nonlinearity are of great cryptographical importance since they can be chosen as the su…

cs.CR2011

On $2 k$ -Variable Symmetric Boolean Functions with Maximum Algebraic Immunity $k$

Hui Wang, Jie Peng, Yuan Li +1

Algebraic immunity of Boolean function $f$ is defined as the minimal degree of a nonzero $g$ such that $f g = 0$ or $(f + 1) g = 0$ . Given a positive even integer $n$ , it is found that the…

Further results on permutation pentanomials over Fq3​ in characteristic two