Concise Encyclopedia of Coding Theory

Released on by W. Cary Huffman
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  • Concise Encyclopedia of Coding Theory Book Detail

  • Author : W. Cary Huffman
  • Release Date : 2021-03-26
  • Publisher : CRC Press
  • Genre : Computers
  • Pages : 998
  • ISBN 13 : 1351375105
  • File Size : 84,84 MB
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Concise Encyclopedia of Coding Theory by W. Cary Huffman PDF Summary

Book Description: Most coding theory experts date the origin of the subject with the 1948 publication of A Mathematical Theory of Communication by Claude Shannon. Since then, coding theory has grown into a discipline with many practical applications (antennas, networks, memories), requiring various mathematical techniques, from commutative algebra, to semi-definite programming, to algebraic geometry. Most topics covered in the Concise Encyclopedia of Coding Theory are presented in short sections at an introductory level and progress from basic to advanced level, with definitions, examples, and many references. The book is divided into three parts: Part I fundamentals: cyclic codes, skew cyclic codes, quasi-cyclic codes, self-dual codes, codes and designs, codes over rings, convolutional codes, performance bounds Part II families: AG codes, group algebra codes, few-weight codes, Boolean function codes, codes over graphs Part III applications: alternative metrics, algorithmic techniques, interpolation decoding, pseudo-random sequences, lattices, quantum coding, space-time codes, network coding, distributed storage, secret-sharing, and code-based-cryptography. Features Suitable for students and researchers in a wide range of mathematical disciplines Contains many examples and references Most topics take the reader to the frontiers of research

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