A method for constructing self-dual codes over Z2m

被引：0

作者：

Han, Sunghyu ^{[1
]}

机构：

[1] Korea Univ Technol & Educ, Sch Liberal Arts, Cheonan 330708, South Korea

来源：

DESIGNS CODES AND CRYPTOGRAPHY | 2015年 / 75卷 / 02期

关键词：

Building-up construction; Self-dual code; Z(4) code; Z(2)m code; FINITE RINGS; ENUMERATION;

D O I：

10.1007/s10623-013-9907-3

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

There are several methods for constructing self-dual codes over various rings. Among them, the building-up method is a powerful method, and it can be applied to self-dual codes over finite fields and several rings. Recently, Alfaro and Dhul-Qarnayn (Des Codes Cryptogr, doi:10.1007/s10623-013-9873-9) proposed a method for constructing self-dual codes over . Their approach is a building-up approach that uses the matrix form. In this paper, we use the matrix form to develop a building-up approach for constructing self-dual codes over Z(2)m (m >= 1),, which have not been considered thus far.

引用

页码：253 / 262

页数：10

共 21 条

[1]

Alfaro R, 2015, DESIGN CODE CRYPTOGR, V74, P453, DOI 10.1007/s10623-013-9873-9

[2]

[Anonymous], 2008, An Introduction to the Theory of Numbers

[3] The Magma algebra system .1. The user language [J].