A course in algebraic error-correcting codes / Simeon Ball.

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A course in algebraic error-correcting codes / Simeon Ball.

9783030411534 (electronic book)
3030411532 (electronic book)
9783030411527
3030411524

https://doi.org/10.1007/978-3-030-41
https://doi.org/10.1007/978-3-030-41153-4

Cham : Springer, 2020.

English

1 online resource (185 pages).

10.1007/978-3-030-41
10.1007/978-3-030-41153-4 doi

QA268

005.7/17

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.

Includes bibliographical references and index.

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