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 techn...
| Corporate Author: | |
|---|---|
| Other Authors: | , , |
| Format: | eBook |
| Language: | English |
| Published: |
BOCA RATON :
CHAPMAN & HALL CRC,
2021.
|
| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
| Summary: | 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 |
|---|---|
| Physical Description: | 1 online resource |
| ISBN: | 1351375091 9781351375092 9781315147901 1315147904 9781351375085 1351375083 9781351375108 1351375105 |