Combinatorial Constructions of Optimal Quaternary Additive Codes

被引：0
|
作者：
Guan, Chaofeng [1 ]
Lv, Jingjie [2 ]
Luo, Gaojun [3 ]
Ma, Zhi [1 ]
机构：
[1] Henan Key Laboratory of Network Cryptography Technology, Zhengzhou,450001, China
[2] Dongguan University of Technology, School of Electrical Engineering and Intelligentization, Dongguan,523808, China
[3] Nanjing University of Aeronautics and Astronautics, School of Mathematics, Nanjing,210016, China
来源：
IEEE Transactions on Information Theory | 2024年 / 70卷 / 11期
关键词：
Integer linear programming;
D O I：
10.1109/TIT.2024.3467123
中图分类号：
学科分类号：
摘要：
This paper aims to construct optimal quaternary additive codes with non-integer dimensions. Firstly, we propose combinatorial constructions of quaternary additive constant-weight codes, alongside additive generalized anticode construction. Subsequently, we propose generalized Construction X, which facilitates the construction of non-integer dimensional optimal additive codes from linear codes. Then, we construct ten classes of optimal quaternary non-integer dimensional additive codes through these two methods. As an application, we also determine the optimal additive [n,3.5,n-t] 4 codes for all t with variable n, except for t=6,7,12. © 2024 IEEE.
引用
收藏
页码：7690 / 7700
相关论文
共 50 条
12345