On Euclidean self-dual codes and isometry codes

被引：0
作者：
Lin Sok
机构：
[1] Anhui University,School of Mathematical Sciences
来源：
Applicable Algebra in Engineering, Communication and Computing | 2022年 / 33卷
关键词：
Orthogonal matrix; Self-orthogonal code; Self-dual code; Optimal code; Isometry code; Concatenation; 94B05; 20G40;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we provide new methods and algorithms to construct Euclidean self-dual codes over large finite fields. With the existence of a dual basis, we study dual preserving linear maps, and as an application, we use them to construct self-orthogonal codes over small finite prime fields using the method of concatenation. Many new optimal self-orthogonal and self-dual codes are obtained.
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页码：73 / 89
页数：16
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