Z2Z4Z8-Cyclic codes

被引：0
|
作者：
Aydogdu, Ismail [1 ]
Gursoy, Fatmanur [1 ]
机构：
[1] Yildiz Tech Univ, Dept Math, Istanbul, Turkey
来源：
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING | 2019年 / 60卷 / 1-2期
关键词：
Generator matrix; Parity-check matrix; Cyclic codes; Z(2)Z(4)Z(8)-additive codes;
D O I：
10.1007/s12190-018-01216-z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we study Z2Z4Z8-additive codes, which are extensions of recently introduced Z2Z4-additive codes. We determine the standard forms of the generator and parity-check matrices of Z2Z4Z8-additive codes. Moreover, we investigate Z2Z4Z8-cyclic codes and give their generator polynomials and spanning sets. We also give some illustrative examples of both Z2Z4Z8-additive codes and Z2Z4Z8-cyclic codes.
引用
收藏
页码：327 / 341
页数：15
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