3 papers
math.CO2025
A Generic Construction of -ary Near-MDS Codes Supporting 2-Designs with Lengths Beyond
Hengfeng Liu, Chunming Tang, Zhengchun Zhou +2
A linear code with parameters is called maximum distance separable (MDS), and one with parameters is called almost MDS (AMDS). A code is near-MD…
cs.IT2024
Quasi-Perfect and Distance-Optimal Codes Sum-Rank Codes
Hao Chen
Constructions of distance-optimal codes and quasi-perfect codes are challenging problems and have attracted many attentions. In this paper, we give the following three results. 1)…
cs.IT2024
Cyclic and Negacyclic Codes with Optimal and Best Known Minimum Distances
Hao Chen, Yanan Wu
In this paper, we construct a new family of distance-optimal binary cyclic codes with the minimum distance and a new family of distance-optimal quaternary cyclic codes with the…