Ring theory applications in coding and error detection

Ring theory has found profound applications in modern coding and error detection, extending classical results from finite fields to more general algebraic structures. Rings, with their versatile operations, enable the design of robust codes that are effective in noisy communication environments. Pol...

Ausführliche Beschreibung

Gespeichert in:

Bibliographische Detailangaben
Veröffentlicht in:	Journal of discrete mathematical sciences & cryptography Jg. 28; H. 7; S. 2909 - 2916
Hauptverfasser:	Naik, Narayan, M, Suman, N, Rajeshwari, Hiremath, Murigendrayya M, G, Gangadhar T, G, Shalini M
Format:	Journal Article
Sprache:	Englisch
Veröffentlicht:	01.10.2025
ISSN:	0972-0529, 2169-0065
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

Beschreibung
Zusammenfassung:	Ring theory has found profound applications in modern coding and error detection, extending classical results from finite fields to more general algebraic structures. Rings, with their versatile operations, enable the design of robust codes that are effective in noisy communication environments. Polynomial rings, and quotient rings have advanced error control mechanisms beyond linear codes over fields. These frameworks not only improve code efficiency but also enhance error detection and correction capabilities. The flexibility of ring-based codes supports innovations in digital communications, cryptography, and storage systems, establishing a strong link between algebra and information theory.
ISSN:	0972-0529 2169-0065
DOI:	10.47974/JDMSC-2561