Hongsheng Hu

collaborators

3 papers

cs.IT2026

Infinite families of constacyclic codes supporting 3-designs and their applications in coding theory

Hongsheng Hu, Nian Li, Yanan Wu +1

Constacyclic codes over finite fields are of theoretical importance as they are closely related to a number of areas of mathematics such as algebra, algebraic geometry, graph theor…

math.RT2026

Representations of Coxeter groups of Lusztig's a-function value 1

Hongsheng Hu

In this paper, we give a characterization of Coxeter group representations of Lusztig's a-function value 1, then determine all the irreducible such representations for certain simp…

math.RT2025

The boundedness of Lusztig's $a$ -function for Coxeter groups of finite rank

Xiaoyu Chen, HongSheng Hu

We prove that there exists a bound $N_{L}^{'} (W)$ for a positively weighted Coxeter group $(W, S, L)$ of finite rank. In particular, Lusztig's $a$ -function of $(W, S, L)$ i…

Infinite families of constacyclic codes supporting 3-designs and their applications in coding theory

Representations of Coxeter groups of Lusztig's a-function value 1

The boundedness of Lusztig's a-function for Coxeter groups of finite rank

The boundedness of Lusztig's $a$ -function for Coxeter groups of finite rank