4 papers
Generalized Hamming Weights and Subcode Support Weight Distributions of Twisted Reed-Solomon Codes
Chao Liu, Hao Chen, Dabin Zheng +1
In this paper, we determine the generalized Hamming weight hierarchies of two classes of twisted Reed--Solomon (TRS) codes. For TRS codes with one twist, we first determine all pos…
Generalized BCH Codes and Twisted Goppa Codes Attaining Their Designed Distances
Yaqi Chen, Hao Chen, Cunsheng Ding +3
Determining the true minimum distance of an alternant code remains a notoriously difficult problem in coding theory. In this paper, we study the minimum distances of generalized BC…
Strong Singleton-Like Bounds, Quasi-Perfect Codes and Distance-Optimal Codes in the Sum-Rank Metric
Chao Liu, Hao Chen, Qinqin Ji +3
Codes in the sum-rank metric have received many attentions in recent years, since they have wide applications in the multishot network coding, the space-time coding and the distrib…
The Weight Hierarchies of Linear Codes from Simplicial Complexes
Chao Liu, Dabin Zheng, Wei Lu +1
The study of the generalized Hamming weight of linear codes is a significant research topic in coding theory as it conveys the structural information of the codes and determines th…