Type I and Type II codes over the ring F2

被引：5

作者：

Ankur ^{[1
]}

Kewat, Pramod Kumar ^{[1
]}

机构：

[1] Indian Inst Technol ISM, Dept Appl Math, Dhanbad 826004, Bihar, India

来源：

ASIAN-EUROPEAN JOURNAL OF MATHEMATICS | 2019年 / 12卷 / 02期

关键词：

Self-dual codes; gray map; residue code; torsion code; SELF-DUAL CODES; LENGTH; F-2+UF(2); Z(4);

D O I：

10.1142/S1793557119500256

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We discuss self-dual codes over the ring R-u,R-v = F-2 + uF(2) + vF(2) + uvF(2), u(2) = 0, v(2) = 0, uv = vu. We characterize the structure of self-dual, Type I codes and Type II codes over R-u,R-v with given generator matrix in terms of the structure of their Torsion and Residue codes. We construct self-dual, Type I and Type II codes over R-u,R-v for different lengths.

引用

页数：9