3 papers
cs.IT2025
Infinitely many families of distance-optimal binary linear codes with respect to the sphere packing bound
Hao Chen, Conghui Xie, Cunsheng Ding
R. W. Hamming published the Hamming codes and the sphere packing bound in 1950. In the past 75 years, infinite families of distance-optimal linear codes over finite fields with min…
cs.IT2025
Some constructions of non-generalized Reed-Solomon MDS Codes
Kanat Abdukhalikov, Cunsheng Ding, Gyanendra K. Verma
We investigate two classes of extended codes and provide necessary and sufficient conditions for these codes to be non-GRS MDS codes. We also determine the parity check matrices fo…
cs.IT2024
Self-Dual Cyclic Codes with Square-Root-Like Lower Bounds on Their Minimum Distances
Hao Chen, Cunsheng Ding
Binary self-dual cyclic codes have been studied since the classical work of Sloane and Thompson published in IEEE Trans. Inf. Theory, vol. 29, 1983. Twenty five years later, an inf…