3 papers
cs.IT2025
New Constructions of Non-GRS MDS Codes, Recovery and Determination Algorithms for GRS Codes
Guodong Wang, Hongwei Liu, Jinquan Luo
In this paper, we propose a new method for constructing a class of non-GRS MDS codes. The lengths of these codes can reach up to (for finite fields of odd character…
cs.IT2025
Improved Decoding Algorithms for MDS and Almost-MDS Codesfrom Twisted GRS Codes
Guodong Wang, Hongwei Liu, Jinquan Luo
In this paper, firstly, we study decoding of a general class of twisted generalized Reed-Solomon (TGRS) codes and provide a precise characterization of the key equation for TGRS co…
cs.IT2025
How to Expand a Self-orthogonal Code
Jon-Lark Kim, Hongwei Liu, Jinquan Luo
In this paper, we show how to expand Euclidean/Hermitian self-orthogonal code preserving their orthogonal property. Our results show that every -dimension Hermitian self-orthogo…