2022/01/08 by Canze Zhu, Zhu, Canze, Qunying Liao +1
Biochemistry, Genetics and Molecular Biology · Computer Science · #Cellular Automata and Applications #Coding theory and cryptography #DNA and Biological Computing #FOS: Computer and information sciences #Information Theory (cs.IT)
paper · pdf · doi:10.48550/arxiv.2201.02758
openalex publication_date 2022/01/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, by calculating the dual code of the Schur square for the standard twisted Reed-Solomon code, we give a sufficient and necessary condition for the generalized twisted Reed-Solomon code with h+t≤ k-1 to be self-orthogonal, where k is dimension, h is hook and t is twist. And then, we show that there is no self-orthogonal generalized twisted Reed-Solomon code under some conditions. Furthermore, several classes of self-orthogonal generalized twisted Reed-Solomon codes are constructed, and some of these codes are non-GRS self-orthogonal MDS codes or NMDS codes.