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