Multicyclic Codes and Algebraic Dynamical Systems
R. M. Lalasoa, R. Andriamifidisoa, T. J. Rabeherimanana
Journal of Advances in Mathematics and Computer Science · pp. 1–22 · Published 22 Mar 2017
10.9734/BJMCS/2017/31510Abstract
We present the structures within group algebras constructed from commutative groups and finite fields. Then we define and construct multicyclic codes in these group algebras. At the end, in the frame of the decoding process, we give a characterization of the locator ideal to the multidimensional case. All of this is done using algebraic dynamical systems, which explains the underlying mathematical objects.
Cited by 1
Swati Bhardwaj, Madhu Raka · Indian Journal of Pure and Applied Mathematics · 2023
Related research
- The Generalized Reed-Muller Codes in a Modular Group Algebra — shares topic coverage
- Action of a Polynomial Matrix on a Vector of Power Series — shares topic coverage
Article metrics
Real usage data collected on this platform.
0
Page views
0
PDF downloads
0
Outbound clicks
1
Citations
Views by country
Approximate, from request IP at view time — not citizenship or institution. Countries with fewer than 5 views are grouped as "Other".
No views recorded yet.
Traffic sources
Referring site, by host.
No traffic recorded yet.
Views and downloads exclude known bots/crawlers. Citations combines this platform's own DOI-resolved index with each external source's own reported total — see Cited by above for individually listed citing works. Last refreshed 0 seconds ago.