Lijing Zheng

activity

20162025

most citedConstructing new APN functions through relative trace functions

1 citations · 1 across the 4 of their papers we have counts for

collaborators

6 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…

math.RT2016

On the representation dimension of smash products

Lijing Zheng, Chonghui Huang, Qianhong Wan

Let $A$ be a finite dimensional $G$ -graded algebra with $G$ a finite group, and $A # k [G]^{*}$ be the smash product of $A$ with the group $G$ . Our results can be stated as follo…

math.RT2016

$n$ -complete algebras and McKay quivers

Tongliang Zhang, Deren Luo, Lijing Zheng

Let $Γ^{n}$ be the cone of an $(n - 1)$ -complete algebra over an algebraically closed field $k$ . In this paper, we prove that if the bound quiver $(Q_{n}, ρ_{n})$ of $Γ^{n}$ is a trun…

Further results on permutation pentanomials over Fq3​ in characteristic two