List Decoding of Error-Correcting Codes - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook List Decoding of Error-Correcting Codes write by Venkatesan Guruswami. This book was released on 2004-11-29. List Decoding of Error-Correcting Codes available in PDF, EPUB and Kindle. This monograph is a thoroughly revised and extended version of the author's PhD thesis, which was selected as the winning thesis of the 2002 ACM Doctoral Dissertation Competition. Venkatesan Guruswami did his PhD work at the MIT with Madhu Sudan as thesis adviser. Starting with the seminal work of Shannon and Hamming, coding theory has generated a rich theory of error-correcting codes. This theory has traditionally gone hand in hand with the algorithmic theory of decoding that tackles the problem of recovering from the transmission errors efficiently. This book presents some spectacular new results in the area of decoding algorithms for error-correcting codes. Specificially, it shows how the notion of list-decoding can be applied to recover from far more errors, for a wide variety of error-correcting codes, than achievable before The style of the exposition is crisp and the enormous amount of information on combinatorial results, polynomial time list decoding algorithms, and applications is presented in well structured form.
Algorithmic Results in List Decoding
Algorithmic Results in List Decoding - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Algorithmic Results in List Decoding write by Venkatesan Guruswami. This book was released on 2007-01-24. Algorithmic Results in List Decoding available in PDF, EPUB and Kindle. Algorithmic Results in List Decoding introduces and motivates the problem of list decoding, and discusses the central algorithmic results of the subject, culminating with the recent results on achieving "list decoding capacity." The main technical focus is on giving a complete presentation of the recent algebraic results achieving list decoding capacity, while pointers or brief descriptions are provided for other works on list decoding. Algorithmic Results in List Decoding is intended for scholars and graduate students in the fields of theoretical computer science and information theory. The author concludes by posing some interesting open questions and suggests directions for future work.
Algebraic List-decoding of Error-correcting Codes
Algebraic List-decoding of Error-correcting Codes - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Algebraic List-decoding of Error-correcting Codes write by Farzad Parvaresh. This book was released on 2007. Algebraic List-decoding of Error-correcting Codes available in PDF, EPUB and Kindle. This dissertation is concerned with algebraic list-decoding of error-correcting codes. During the past decade, significant advances in this are were achieved. The breakthrough papers of Sudan, Guruswami & Sudan, and Koetter & Vardy showed that the well-known Reed-Solomon (and other algebraic) codes can correct many more errors---in the list-decoding sense---than previously thought possible. Herein, we extend the theory developed in these seminal papers, and improve upon the results reported therein.
Fundamentals of Error-Correcting Codes
Fundamentals of Error-Correcting Codes - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Fundamentals of Error-Correcting Codes write by W. Cary Huffman. This book was released on 2010-02-18. Fundamentals of Error-Correcting Codes available in PDF, EPUB and Kindle. Fundamentals of Error Correcting Codes is an in-depth introduction to coding theory from both an engineering and mathematical viewpoint. As well as covering classical topics, there is much coverage of techniques which could only be found in specialist journals and book publications. Numerous exercises and examples and an accessible writing style make this a lucid and effective introduction to coding theory for advanced undergraduate and graduate students, researchers and engineers, whether approaching the subject from a mathematical, engineering or computer science background.
Error Correcting Coding and Security for Data Networks
Error Correcting Coding and Security for Data Networks - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Error Correcting Coding and Security for Data Networks write by Grigorii Kabatiansky. This book was released on 2005-10-31. Error Correcting Coding and Security for Data Networks available in PDF, EPUB and Kindle. Error correcting coding is often analyzed in terms of its application to the separate levels within the data network in isolation from each other. In this fresh approach, the authors consider the data network as a superchannel (a multi-layered entity) which allows error correcting coding to be evaluated as it is applied to a number of network layers as a whole. By exposing the problems of applying error correcting coding in data networks, and by discussing coding theory and its applications, this original technique shows how to correct errors in the network through joint coding at different network layers. Discusses the problem of reconciling coding applied to different layers using a superchannel approach Includes thorough coverage of all the key codes: linear block codes, Hamming, BCH and Reed-Solomon codes, LDPC codes decoding, as well as convolutional, turbo and iterative coding Considers new areas of application of error correcting codes such as transport coding, code-based cryptosystems and coding for image compression Demonstrates how to use error correcting coding to control such important data characteristics as mean message delay Provides theoretical explanations backed up by numerous real-world examples and practical recommendations Features a companion website containing additional research results including new constructions of LDPC codes, joint error-control coding and synchronization, Reed-Muller codes and their list decoding By progressing from theory through to practical problem solving, this resource contains invaluable advice for researchers, postgraduate students, engineers and computer scientists interested in data communications and applications of coding theory.
