3 papers
cs.IT2026
A Structural Characterization of Cyclotomic Cosets with Applications to Affine-Invariant Codes and BCH Codes
Xiongkun Zheng, Dabin Zheng, Xiaoqiang Wang +1
Affine-invariant codes have attracted considerable attention due to their rich algebraic structure and strong theoretical properties. In this paper, we study a family of affine-inv…
cs.IT2025
Improvement of the square-root low bounds on the minimum distances of BCH codes and Matrix-product codes
Xiaoqiang Wang, Liuyi Li, Yansheng Wu +2
The task of constructing infinite families of self-dual codes with unbounded lengths and minimum distances exhibiting square-root lower bounds is extremely challenging, especially…
cs.IT2025
Several new infinite families of NMDS codes with arbitrary dimensions supporting -designs
Yaozong Zhang, Dabin Zheng, Xiaoqiang Wang +1
Near maximum distance separable (NMDS) codes, where both the code and its dual are almost maximum distance separable, play pivotal roles in combinatorial design theory and cryptogr…