Title
Abelian Group Factorization From Cyclic And Quasi-Cyclic Codes
Abstract
In this paper, we use the algebraic structures of cyclic codes and algorithmic techniques to find factorizations of abelian groups from cyclic codes. We construct specific subclasses of quasi-cyclic codes and provide the conditions with which we obtain a normalized factorization of certain abelian groups. The factorization, in both cases, is constituted by two sets, one corresponding to the cyclic code and the other corresponding to the words that represent all possible error polynomials of the cyclic code besides the zero vector.
Year
DOI
Venue
2021
10.1142/S1793830921500166
DISCRETE MATHEMATICS ALGORITHMS AND APPLICATIONS
Keywords
DocType
Volume
Abelian group factorization, cyclic codes, quasi-cyclic codes
Journal
13
Issue
ISSN
Citations 
2
1793-8309
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
Abdulla Eid100.68
Sameh Ezzat200.34