3 papers
cs.IT2026
Generalized Roth--Lempel Codes: NMDS Characterization, Hermitian Self-Orthogonality, and Quantum Constructions
Qi Liu, Xuefei Wu, Yingchun Cheng +1
In their seminal 1989 work (IEEE Trans. Inf. Theory 35(3):655-657), Roth and Lempel constructed a well-known family of non-Reed-Solomon maximum distance separable (MDS) codes. For…
cs.IT2025
Construction of MDS Euclidean Self-Dual Codes via Multiple Subsets
Weirong Meng, Weijun Fang, Fang-Wei Fu +2
MDS self-dual codes have good algebraic structure, and their parameters are completely determined by the code length. In recent years, the construction of MDS Euclidean self-dual c…
cs.IT2024
New families of non-Reed-Solomon MDS codes
Lingfei Jin, Liming Ma, Chaoping Xing +1
MDS codes have garnered significant attention due to their wide applications in practice. To date, most known MDS codes are equivalent to Reed-Solomon codes. The construction of no…