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Open Access ·Peer-reviewed·ISSN (Online): 2169-0065·ISSN (Print): 0972-0529

Monthly Journal: Publishes theoretical and applied research in all areas of Discrete Mathematical Sciences, Cryptography, Combinatorics, Elliptic Curves and Information Security.

Issues up to 2022 co-published with and available at:Taylor & Francis Online
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Open Access Research Article

Ring theory applications in coding and error detection

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pp. 2907–2914Vol. 28Issue 7October 2025DOI: 10.47974/JDMSC-2561 Crossmark XML
Received:
08 Jul 2025
Published Online:
31 Oct 2025
Article type:
Research Article
Language:
EN
Article no.:
JDMSC-2561
Pages:
2907–2914

Abstract

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.

Keywords

Subject Classifications

35P2513D22

References

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