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Coding theory is the study of the properties of codes and their respective fitness for specific applications. Codes are used for data compression, cryptography, error detection and correction, data transmission and data storage.
An Introduction to Coding Theory: Lecture Notes. Vladimir D. Tonchev Department of Mathematical Sciences Michigan Technological University Houghton, Michigan 49931, USA. http://www.math.mtu.edu/∼tonchev/Coding-Theory-Tohoku-June-09.pdf. May 16, 2009. Contents. Error-correcting codes. Linear codes. Syndrome decoding of linear codes.
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6 days ago · Coding theory, sometimes called algebraic coding theory, deals with the design of error-correcting codes for the reliable transmission of information across noisy channels. It makes use of classical and modern algebraic techniques involving finite fields, group theory, and polynomial algebra.
A textbook on error-correcting codes, covering linear codes, finite fields, Reed–Solomon codes, cyclic codes, and more. The book is designed for students of computer science, electrical engineering, and mathematics, with over 100 examples and 340 exercises.
The advance came with a fundamental paradigm shift in the area of coding that took place in the early 1990s. In Modern Coding Theory, codes are viewed as large complex systems described by random sparse graphical models, and encoding as well as decoding are accomplished by efficient local algorithms. The local interactions of the codebits are ...
This book gives a comprehensive introduction to coding theory whilst only assuming basic linear algebra. It contains a detailed and rigorous introduction to the theory of block codes and moves on to more advanced topics like BCH codes, Goppa codes and Sudan's algorithm for list decoding.
Sep 17, 2016 · Learn the basics of coding theory, a practical branch of mathematics for reliable information transmission over noisy channels. The chapter covers the mathematical foundations, block codes, error detection and correction, and examples of codes.
