Cyclic codes over the ring Z2k

被引：0
|
作者：
Tapia-Recillas, Horacio [1 ]
Velazco-Velazco, J. Armando [1 ]
机构：
[1] Univ Autonoma Metropolitana I, Dept Matemat, Ciudad De Mexico 09340, Mexico
来源：
SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES | 2024年 / 18卷 / 01期
关键词：
Finite ring; Frobenius ring; Cyclic codes; Idempotent elements;
D O I：
10.1007/s40863-024-00412-z
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The purpose of this manuscript is two-fold. First, properties of the ring R-k = Z(2k) + uZ(2k) and the set of ideals are established. Second, results on cyclic codes of length n, gcd(2, n) = 1, over the non-chain Frobenius ring R-k and their description by means of idempotent elements are presented.
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收藏
页码：14 / 27
页数：14
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