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Research Paper | Mathematics | India | Volume 13 Issue 10, October 2024 | Rating: 3.6 / 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