| Description |
1 online resource (xiii, 177 pages) |
| Series |
Compact Textbooks in Mathematics |
|
Compact textbooks in mathematics.
|
| Contents |
Shannon's Theorem -- Finite Fields -- Block Codes -- Linear Codes -- Cyclic Codes -- Maximum Distance Separable Codes -- Alternant and Algebraic Geometric Codes -- Low Density Parity Check Codes -- Reed-Muller and Kerdock Codes -- p-Adic Codes |
| Summary |
This textbook provides a rigorous mathematical perspective on error-correcting codes, starting with the basics and progressing through to the state-of-the-art. Algebraic, combinatorial, and geometric approaches to coding theory are adopted with the aim of highlighting how coding can have an important real-world impact. Because it carefully balances both theory and applications, this book will be an indispensable resource for readers seeking a timely treatment of error-correcting codes. Early chapters cover fundamental concepts, introducing Shannons theorem, asymptotically good codes and linear codes. The book then goes on to cover other types of codes including chapters on cyclic codes, maximum distance separable codes, LDPC codes, p-adic codes, amongst others. Those undertaking independent study will appreciate the helpful exercises with selected solutions. A Course in Algebraic Error-Correcting Codes suits an interdisciplinary audience at the Masters level, including students of mathematics, engineering, physics, and computer science. Advanced undergraduates will find this a useful resource as well. An understanding of linear algebra is assumed |
| Bibliography |
Includes bibliographical references and index |
| Notes |
Print version record |
| Subject |
Error-correcting codes (Information theory)
|
|
Códigos correctores de errores (Teoría de la información)
|
|
Error-correcting codes (Information theory)
|
| Form |
Electronic book
|
| ISBN |
9783030411534 |
|
3030411532 |
|
