EAN: 9783030411527

COMPACT TEXTBOOKS IN MATHEMATICS A COURSE IN ...

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 Shannon's
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.

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