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cs.IT2026
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…
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.IT2026
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…