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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 $Λ\in \RR^n$ over all such lattices of rank . The Bergé-Martinet con…