Concise Encyclopedia of Coding Theory

Coding theory has grown into a discipline with many practical applications requiring various mathematical techniques in the last few decades. Most topics covered in this book are presented in short sections at an introductory level and progress from basic to advanced level, with definitions, examples, and many references.

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

Get Concise Encyclopedia of Coding Theory by at the best price and quality guaranteed only at Werezi Africa's largest book ecommerce store. The book was published by Taylor & Francis Ltd and it has pages.