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.
List Decoding of Error-Correcting Codes
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.
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.
List Decoding of Error-Correcting Codes
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. How can one exchange information e?ectively when the medium of com- nication introduces errors? This question has been investigated extensively starting with the seminal works of Shannon (1948) and Hamming (1950), and has led to the 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 errors e?ciently. This thesis presents some spectacular new results in the area of decoding algorithms for error-correctingcodes. Speci?cally,itshowshowthenotionof“list-decoding” can be applied to recover from far more errors, for a wide variety of err- correcting codes, than achievable before. A brief bit of background: error-correcting codes are combinatorial str- tures that show how to represent (or “encode”) information so that it is - silient to a moderate number of errors. Speci?cally, an error-correcting code takes a short binary string, called the message, and shows how to transform it into a longer binary string, called the codeword, so that if a small number of bits of the codewordare ?ipped, the resulting string does not look like any other codeword. The maximum number of errorsthat the code is guaranteed to detect, denoted d, is a central parameter in its design. A basic property of such a code is that if the number of errors that occur is known to be smaller than d/2, the message is determined uniquely. This poses a computational problem,calledthedecodingproblem:computethemessagefromacorrupted codeword, when the number of errors is less than d/2.
Encyclopedia of Algorithms
Encyclopedia of Algorithms - 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 Encyclopedia of Algorithms write by Ming-Yang Kao. This book was released on 2008-08-06. Encyclopedia of Algorithms available in PDF, EPUB and Kindle. One of Springer’s renowned Major Reference Works, this awesome achievement provides a comprehensive set of solutions to important algorithmic problems for students and researchers interested in quickly locating useful information. This first edition of the reference focuses on high-impact solutions from the most recent decade, while later editions will widen the scope of the work. All entries have been written by experts, while links to Internet sites that outline their research work are provided. The entries have all been peer-reviewed. This defining reference is published both in print and on line.
