Classification of binary self-orthogonal codes of lengths from 16 to 20 and its application

被引：5
作者：
Shi, Minjia [1 ]
Liu, Na [2 ]
Kim, Jon-Lark [3 ]
机构：
[1] Anhui Univ, Sch Math Sci, Key Lab Intelligent Comp Signal Proc, Minist Educ, Hefei 230601, Peoples R China
[2] Anhui Univ, Sch Math Sci, Hefei 230601, Peoples R China
[3] Sogang Univ, Dept Math, Seoul, South Korea
来源：
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING | 2023年 / 69卷 / 01期
基金：
中国国家自然科学基金;
关键词：
DNA codes; Finite ring; Self-orthogonal codes; DUAL CODES; LCD CODES; ENUMERATION;
D O I：
10.1007/s12190-022-01785-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Kim and Ohk (2022) showed that binary self-orthogonal [n, k] codes for various dimensions k can be useful for the construction of DNA codes based on quasi selfdual codes over a noncommutative nonunital ring E with four elements. However, there is few classification of binary self-orthogonal codes with dimension >= 6. In this paper, we complete the classification of binary self-orthogonal codes of lengths from 16 to 20 with dimension >= 6. Hence, our classification extends a result of Kim and Ohk (2022).
引用
收藏
页码：1173 / 1203
页数：31
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