The Power of Algebraic Curves: Advancing Error Correcting Codes in Coding Theory
International Journal of Science and Research (IJSR)

International Journal of Science and Research (IJSR)
Call for Papers | Fully Refereed | Open Access | Double Blind Peer Reviewed

ISSN: 2319-7064


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Research Paper | Mathematics | India | Volume 13 Issue 10, October 2024 | Popularity: 5.6 / 10


     

The Power of Algebraic Curves: Advancing Error Correcting Codes in Coding Theory

Raviraju Balappa D, Dr. Gautam Kumar Rajput


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 challenges of data transmission and storage. This paper delves into the theoretical foundations of algebraic curves, their role in constructing powerful error-correcting codes, and the practical applications of these codes in various technological domains.


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


Edition: Volume 13 Issue 10, October 2024


Pages: 651 - 653


DOI: https://www.doi.org/10.21275/MR241008102305


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Raviraju Balappa D, Dr. Gautam Kumar Rajput, "The Power of Algebraic Curves: Advancing Error Correcting Codes in Coding Theory", International Journal of Science and Research (IJSR), Volume 13 Issue 10, October 2024, pp. 651-653, https://www.ijsr.net/getabstract.php?paperid=MR241008102305, DOI: https://www.doi.org/10.21275/MR241008102305

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