3 papers
cs.IT2025
Self-dual codes and LCD codes in sum-rank metric
Qingfeng Xia, Hongwei Liu, Hao Chen +1
Sum-rank codes are an important class of codes which can be utilized for linear network coding, space-time coding and distributed storage. They can not only reduce the size of netw…
cs.IT2025
Construction of non-generalized Reed-Solomon MDS codes based on systematic generator matrix
Shengwei Liu, Hongwei Liu, Bocong Chen
Maximum distance separable (MDS) codes are considered optimal because the minimum distance cannot be improved for a given length and code size. The most prominent MDS codes are lik…
cs.IT2025
About the Rankin and Bergé-Martinet Constants from a Coding Theory View Point
Frédérique Oggier, Shengwei Liu, Hongwei Liu
The Rankin constant measures the largest volume of the densest sublattice of rank of a lattice $Î\in \RR^n$ over all such lattices of rank . The Bergé-Martinet…