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Concise Encyclopedia Of Coding Theory

Concise Encyclopedia Of Coding Theory

W. Cary Huffman, Jon-Lark Kim, Patrick Solé
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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
种类:
年:
2021
出版:
1st Edition
出版社:
Chapman and Hall/CRC /Taylor & Francis Group
语言:
english
页:
998
ISBN 10:
1315147904
ISBN 13:
9781315147901
文件:
PDF, 18.21 MB
IPFS:
CID , CID Blake2b
english, 2021
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