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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★ 2 cited
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
Shortest self-orthogonal embeddings of binary linear codes
Junmin An, Nathan Kaplan, Jon-Lark Kim +2
There has been recent interest in the study of shortest self-orthogonal embeddings of binary linear codes, since many such codes are optimal self-orthogonal codes. Several authors…