4 papers
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…
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…
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…
New Constructions of Optimal Binary LCD Codes
Guodong Wang, Shengwei Liu, Hongwei Liu
Linear complementary dual (LCD) codes can provide an optimum linear coding solution for the two-user binary adder channel. LCD codes also can be used to against side-channel attack…