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arXiv · 2201.02758

Self-orthogonal generalized twisted Reed-Solomon codes

Canze Zhu·Qunying Liao
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Abstract

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 $h+t\le k-1$ 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.

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Canze Zhu, Qunying Liao. 2022-01-08. Self-orthogonal generalized twisted Reed-Solomon codes. https://arxiv.org/abs/2201.02758

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