Construction of optimal codes from a class of constacyclic codes

被引：0
|
作者：
Dinh, Hai Q. [1 ]
Satpati, Sampurna [2 ]
Singh, Abhay Kumar [2 ]
机构：
[1] Kent State Univ, Dept Math Sci, Kent, OH 44242 USA
[2] Indian Inst Technol ISM, Dept Math & Comp, Dhanbad, Bihar, India
来源：
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING | 2022年 / 68卷 / 06期
关键词：
Constacylic codes; Dual codes; Chain rings; Repeated-root codes; SYMBOL-PAIR CODES; DISTANCE;
D O I：
10.1007/s12190-021-01695-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the structure of (alpha u + beta(u - delta))-constacyclic codes of length n over the finite commutative non-local ring F-pm [u]/< u(2)-delta u > is provided, where alpha, beta and delta are units of F-pm. The structure of dual constacyclic codes is considered and the hull of all such codes is determined. Using that, the Hamming and symbol-pair distances of (alpha u + beta(u - delta))-constacyclic code over the ring F-pm [u]/< u(2)-delta u > are established for code length p(s). As applications, the MDS and MDS symbol-pair codes among them are completely identified.
引用
收藏
页码：3961 / 3977
页数：17
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