7 papers
Two-Step Decoding of Binary Sum-Rank-Metric Codes
Hao Wu, Bocong Chen, Guanghui Zhang +1
We address an open problem posed by Chen-Cheng-Qi (IEEE Trans.\ Inf.\ Theory, 2025): can the decoding of binary sum-rank-metric codes $\SR(C_1,C_2)$ with matrix blocks b…
Critical Numbers for Restricted Sumsets: Rigidity and Collapse in Finite Abelian Groups
Bocong Chen, Jing Huang
This paper establishes a classification of the critical numbers for restricted sumsets in finite abelian groups, determining them exactly for even-order groups and bounding them fo…
Regular Cyclic -Arcs in $\PG(3,2^m)$: Spectral Rigidity, Descent, and an MDS Criterion
Bocong Chen, Jing Huang, Hao Wu
Let with and set . We investigate -arcs that admit a regular cyclic subgroup of order…
Improved AntiGriesmer Bounds for Linear Anticodes and Applications
Guanghui Zhang, Bocong Chen, Liren Lin +1
This paper improves the antiGriesmer bound for linear anticodes previously established by Chen and Xie (Journal of Algebra, 673 (2025) 304-320). While the original bound required t…
New Bounds for Linear Codes with Applications
Liren Lin, Guanghui Zhang, Bocong Chen +1
Bounds on linear codes play a central role in coding theory, as they capture the fundamental trade-off between error-correction capability (minimum distance) and information rate (…
Decoding Algorithms for Twisted GRS Codes
Guanghui Zhang, Liren Lin, Bocong Chen
Twisted generalized Reed-Solomon (TGRS) codes were introduced to extend the algebraic capabilities of classical generalized Reed-Solomon (GRS) codes. This extension holds the poten…