Advancing Error-Correcting Codes through the Application of Algebraic Curves in Coding Theory

Authors

  • Mai Hathal Al-Zuriqat Research Scholar, Department of Mathematics, Sunrise University, Alwar, Rajasthan, India
  • Bushra Obeidat Associate Professor, Department of Mathematics, Sunrise University, Alwar, Rajasthan, India

DOI:

https://doi.org/10.53469/jrve.2025.7(12).06

Keywords:

Algebraic Geometry, Error-Correcting Codes, Algebraic Curves, Goppa Codes, Finite Fields

Abstract

This study investigates the intersection of algebraic geometry and coding theory, specifically focusing on the application of algebraic curves in the advancement of error-correcting codes. Algebraic curves, as mathematical objects, offer profound implications in the design and analysis of error-correcting codes, providing robust solutions to the challengesof data transmission and storage. This paper delves into the theoretical foundations ofalgebraic curves, their role in constructing powerful error-correcting codes, and the practicalapplications of these codes in various technological domains.

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Published

2025-12-30

How to Cite

Al-Zuriqat, M. H., & Obeidat, B. (2025). Advancing Error-Correcting Codes through the Application of Algebraic Curves in Coding Theory. Journal of Research in Vocational Education, 7(12), 23–25. https://doi.org/10.53469/jrve.2025.7(12).06

Issue

Vol. 7 No. 12 (2025)

Section

Articles

License

Copyright (c) 2025 Mai Hathal Al-Zuriqat, Bushra Obeidat

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.