New constructions of self-dual codes via twisted generalized Reed-Solomon codes

被引：0
作者：
Junzhen Sui
Qin Yue
Fuqing Sun
机构：
[1] Nanjing University of Aeronautics and Astronautics,College of Computer Science and Technology
[2] Nanjing University of Aeronautics and Astronautics,Department of Mathematics
[3] State Key Laboratory of Cryptology,undefined
来源：
Cryptography and Communications | 2023年 / 15卷
关键词：
Constructions; MDS codes; Self-dual codes; Twisted generalized Reed-Solomon codes; 94B05;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we give a sufficient and necessary condition that a twisted Reed-Solomon (TRS) code is MDS. Then we give a sufficient and necessary condition that a twisted generalized Reed-Solomon (TGRS) code is self-dual. Moreover, we present some new explicit constructions of self-dual TGRS codes. These self-dual TGRS codes are MDS, Near-MDS, or 2-MDS and most of them are non-GRS.
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页码：959 / 978
页数：19
相关论文
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