Cyclic Convolutional Codes over Separable Extensions

被引：1

作者：

Gomez-Torrecillas, Jose ^{[1
,2
]}

Lobillo, F. J. ^{[1
,2
]}

Navarro, Gabriel ^{[2
,3
]}

机构：

[1] Univ Granada, Dept Algebra, Granada, Spain

[2] Univ Granada, CITIC, Granada, Spain

[3] Univ Granada, Dept Comp Sci & AI, Granada, Spain

来源：

CODING THEORY AND APPLICATIONS, 4TH INTERNATIONAL CASTLE MEETING | 2015年 / 3卷

关键词：

Separable extension; Convolutional code; Ideal code; CONSTRUCTIONS;

D O I：

10.1007/978-3-319-17296-5_22

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We show that, under mild conditions of separability, an ideal code, as defined in Lopez-Permouth and Szabo (J Pure ApplAlgebra 217(5): 958-972,2013), is a direct summand of an Ore extension and, consequently, it is generated by an idempotent element. We also design an algorithm for computing one of these idempotents.

引用

页码：209 / 215

页数：7

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