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 Lab Network Cryptog Technol, Zhengzhou 450001, Peoples R China
[2] Dongguan Univ Technol, Sch Elect Engn & Intelligentizat, Dongguan 523808, Peoples R China
[3] Nanjing Univ Aeronaut & Astronaut, Sch Math, Nanjing 210016, Peoples R China
来源：
IEEE TRANSACTIONS ON INFORMATION THEORY | 2024年 / 70卷 / 11期
基金：
中国国家自然科学基金; 中国博士后科学基金;
关键词：
Codes; Additives; Linear codes; Gold; Vectors; Polynomials; Hamming weight; Quaternary additive code; additive constant-weight code; additive generalized anticode construction; generalized construction X; ERROR-CORRECTING CODES;
D O I：
10.1109/TIT.2024.3467123
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
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.
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页码：7690 / 7700
页数：11
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