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2 articles for “Galois field”
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Comparison Between Reed–Solomon and BCH Code with Various Modulation Schemes Over Coding Gain and Coding Rate
Abstract: The main objective of this research paper is to make a comparison between the performance of Reed-Solomon (RS) and Bose–Chaudhuri–Hocquenghem (BCH) codes across different modulation schemes concerning coding gain and coding rate within an additive white Gaussian noise (AWGN) channel system, while maintaining a constant transmission bandwidth. In this paper bit error rate (BER) versus signal/noise (S/N) performance of a Simulink model is validated with MATLAB results for a RS …
Published in Research & Reviews: A Journal of Embedded System & Applications · Vol. 12, Issue 1, 2024 · pp. 32–50 Read article
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Algebraic Foundations of AES (Advanced Encryption Standard): Group Theory and Finite Field Applications in Symmetric Cryptography
Abstract: This paper presents a mathematical study of symmetric cryptographic algorithms, with a particular emphasis on the Advanced Encryption Standard (AES), which is one of the most widely used encryption schemes in modern security applications. The study highlights how abstract mathematical frameworks such as group theory, finite fields, and vector space concepts provide the foundation for the design, implementation, and analysis of AES. By approaching the algorithm from a mathematical perspective, …
Published in Recent Trends in Mathematics · Vol. 2, Issue 1, 2025 · pp. 12–16 Read article