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Concise Encyclopedia of Coding Theory
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
Part I cyclic codes, skew cyclic codes, quasi-cyclic codes, self-dual codes, codes and designs, codes over rings, convolutional codes, performance bounds
Part II AG codes, group algebra codes, few-weight codes, Boolean function codes, codes over graphs
Part III 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
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
Part I cyclic codes, skew cyclic codes, quasi-cyclic codes, self-dual codes, codes and designs, codes over rings, convolutional codes, performance bounds
Part II AG codes, group algebra codes, few-weight codes, Boolean function codes, codes over graphs
Part III 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
998 pages, Kindle Edition
Published March 25, 2021
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