Jie Peng

most citedConstructing new APN functions through relative trace functions

1 citations · 1 across the 3 of their papers we have counts for

collaborators

4 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.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…

Further results on permutation pentanomials over Fq3​ in characteristic two

Constructing new APN functions through relative trace functions

Constructing vectorial bent functions via second-order derivatives

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

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

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