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Notes on Coding Theory by J.I.Hall

Notes on Coding Theory by J.I.Hall

Notes on Coding Theory by J.I.Hall

This comprehensive note considers some basic material in coding theory and discusses sphere packing and Shannon's theorem, which form the basics to understanding the idea of error correction and data transmission. It also deals with the concept of linear codes and their applications by describing Hamming codes and generalized Reed-Solomon codes. The material further takes a look at some codes within the frameworks of modifiation of codes and codes over subfields, providing insights into cyclic codes. Furthermore, it addresses the importance of countering weights and distances in error-correcting codes, thus making it a very vital text for students and professionals looking to deepen their knowledge on mathematical underpinnings and practical applications of coding theory.

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s204 Pages
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