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Concise Encyclopedia of Coding Theory



1st Edition 

by W. Cary Huffman (Editor), Jon-Lark Kim (Editor), Patrick SolĂ© (Editor) 

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.


Year: 2021
Pages: 998
Language: English
Format: PDF
Size: 18 MB
Publisher: Chapman and Hall/CRC
ISBN-10: 1138551996
ISBN-13: 978-1138551992
Tag: Download Book Concise Encyclopedia of Coding Theory