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Goodreads helps you keep track of books you want to read. Want to Read saving…. Want to Read Currently Reading Read. Other editions. Enlarge cover. Error rating book. Refresh and try again. Open Preview See a Problem? Details if other :. Thanks for telling us about the problem. Return to Book Page. Algebraic Coding Theory by Elwyn R. This book concerns state-of-the-art coding and decoding methods.
Research reviewed in the book include Berlekamp's algorithm for factoring polynomials the first significant improvement on a classical mathematical problem in almost two centuries , and Berlekamp's algorithm for decoding Bose- Chaudhuri-Hocquenghem and Reed-Solomon codes. For the past 15 years, this coding a This book concerns state-of-the-art coding and decoding methods.
For the past 15 years, this coding algorithm has been used universally in algebraic decoders that correct multiple errors in communications or computer memory systems. Get A Copy. Paperback , Revised Edition , pages. More Details Other Editions 3. Friend Reviews. To see what your friends thought of this book, please sign up. To ask other readers questions about Algebraic Coding Theory , please sign up. Be the first to ask a question about Algebraic Coding Theory.
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Start your review of Algebraic Coding Theory. Apr 08, Kevin Neilson rated it really liked it. There's some good stuff in here, and still relevant today. I learned a sweet trick to do square roots in a Galois Field with just a simple matrix multiplication, and how to find the roots of a Galois quadratic with a simple linear operation. Berlekamp knows his stuff. There are also a lot of circuit diagrams showing how to translate the theory to hardware. Update: I had a question about a formula and I sent an email to Berlekamp and was surprised to have him write me back.
Cool guy! This book has There's some good stuff in here, and still relevant today. This book has been really useful for helping me design a quintic root solver. Update: I've been reading more of this book the original edition and just want to point out how good it is, especially compared to just about any other textbook in the field.
Despite dating to the 60s, there really isn't much about modern error correction circuits that can't be described by this text. There are no discussion topics on this book yet.
About Elwyn R. Elwyn R. He was known for his work in information theory and combinatorial game theory. Books by Elwyn R. As dedicated readers already know, some of the best and most innovative stories on the shelves come from the constantly evolving realm of young ad Read more Trivia About Algebraic Coding No trivia or quizzes yet. Welcome back. Just a moment while we sign you in to your Goodreads account.
Algebraic Coding Theory
Algebraic Coding Theory Revised Edition. Berlekamp Elwyn R. This is the revised edition of Berlekamp's famous book, 'Algebraic Coding Theory', originally published in , wherein he introduced several algorithms which have subsequently dominated engineering practice in this field. One of these is an algorithm for decoding Reed-Solomon and Bose-Chaudhuri-Hocquenghem codes that subsequently became known as the Berlekamp-Massey Algorithm. Another is the Berlekamp algorithm for factoring polynomials over finite fields, whose later extensions and embellishments became widely used in symbolic manipulation systems. Other novel algorithms improved the basic methods for doing various arithmetic operations in finite fields of characteristic two. Other major research contributions in this book included a new class of Lee metric codes, and precise asymptotic results on the number of information symbols in long binary BCH codes.
A Survey of Algebraic Coding Theory