Chengfei Xie

collaborators

3 papers

math.CO2023

Some results on similar configurations in subsets of $F_{q}^{d}$

Chengfei Xie, Gennian Ge

In this paper, we study problems about the similar configurations in $F_{q}^{d}$ . Let $G = (V, E)$ be a graph, where $V = {1, 2, \dots, n}$ and $E \subseteq (2 V)$ . For a s…

math.MG2022

On the lower bound for kissing numbers of $ℓ_{p}$ -spheres in high dimensions

Chengfei Xie, Gennian Ge

In this paper, we give some new lower bounds for the kissing number of $ℓ_{p}$ -spheres. These results improve the previous work due to Xu (2007). Our method is based on coding the…

cs.IT2022

Covering Grassmannian Codes: Bounds and Constructions

Bingchen Qian, Xin Wang, Chengfei Xie +1

Grassmannian $G_{q} (n, k)$ is the set of all $k$ -dimensional subspaces of the vector space $F_{q}^{n} .$ Recently, Etzion and Zhang introduced a new notion called coveri…

Some results on similar configurations in subsets of Fqd​

On the lower bound for kissing numbers of ℓp​-spheres in high dimensions

Covering Grassmannian Codes: Bounds and Constructions

Some results on similar configurations in subsets of $F_{q}^{d}$

On the lower bound for kissing numbers of $ℓ_{p}$ -spheres in high dimensions