Locally Decodable Codes

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Publisher : Now Pub
ISBN 13 : 9781601985446
Total Pages : 132 pages
Book Rating : 4.9/5 (854 download)

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Book Synopsis Locally Decodable Codes by : Sergey Yekhanin

Download or read book Locally Decodable Codes written by Sergey Yekhanin and published by Now Pub. This book was released on 2012 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces and motivates locally decodable codes, and discusses the central results of the subject. It will benefit computer scientists, electrical engineers, and mathematicians with an interest in coding theory.

List Decoding of Error-Correcting Codes

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Publisher : Springer Science & Business Media
ISBN 13 : 3540240519
Total Pages : 354 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis List Decoding of Error-Correcting Codes by : Venkatesan Guruswami

Download or read book List Decoding of Error-Correcting Codes written by Venkatesan Guruswami and published by Springer Science & Business Media. This book was released on 2004-11-29 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Error Correction Coding

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Publisher : John Wiley & Sons
ISBN 13 : 0471648000
Total Pages : 800 pages
Book Rating : 4.4/5 (716 download)

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Book Synopsis Error Correction Coding by : Todd K. Moon

Download or read book Error Correction Coding written by Todd K. Moon and published by John Wiley & Sons. This book was released on 2005-06-06 with total page 800 pages. Available in PDF, EPUB and Kindle. Book excerpt: An unparalleled learning tool and guide to error correction coding Error correction coding techniques allow the detection and correction of errors occurring during the transmission of data in digital communication systems. These techniques are nearly universally employed in modern communication systems, and are thus an important component of the modern information economy. Error Correction Coding: Mathematical Methods and Algorithms provides a comprehensive introduction to both the theoretical and practical aspects of error correction coding, with a presentation suitable for a wide variety of audiences, including graduate students in electrical engineering, mathematics, or computer science. The pedagogy is arranged so that the mathematical concepts are presented incrementally, followed immediately by applications to coding. A large number of exercises expand and deepen students' understanding. A unique feature of the book is a set of programming laboratories, supplemented with over 250 programs and functions on an associated Web site, which provides hands-on experience and a better understanding of the material. These laboratories lead students through the implementation and evaluation of Hamming codes, CRC codes, BCH and R-S codes, convolutional codes, turbo codes, and LDPC codes. This text offers both "classical" coding theory-such as Hamming, BCH, Reed-Solomon, Reed-Muller, and convolutional codes-as well as modern codes and decoding methods, including turbo codes, LDPC codes, repeat-accumulate codes, space time codes, factor graphs, soft-decision decoding, Guruswami-Sudan decoding, EXIT charts, and iterative decoding. Theoretical complements on performance and bounds are presented. Coding is also put into its communications and information theoretic context and connections are drawn to public key cryptosystems. Ideal as a classroom resource and a professional reference, this thorough guide will benefit electrical and computer engineers, mathematicians, students, researchers, and scientists.

Resource Efficient LDPC Decoders

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Publisher : Academic Press
ISBN 13 : 0128112565
Total Pages : 192 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Resource Efficient LDPC Decoders by : Vikram Arkalgud Chandrasetty

Download or read book Resource Efficient LDPC Decoders written by Vikram Arkalgud Chandrasetty and published by Academic Press. This book was released on 2017-12-05 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book takes a practical hands-on approach to developing low complexity algorithms and transforming them into working hardware. It follows a complete design approach – from algorithms to hardware architectures - and addresses some of the challenges associated with their design, providing insight into implementing innovative architectures based on low complexity algorithms.The reader will learn: - Modern techniques to design, model and analyze low complexity LDPC algorithms as well as their hardware implementation - How to reduce computational complexity and power consumption using computer aided design techniques - All aspects of the design spectrum from algorithms to hardware implementation and performance trade-offs - Provides extensive treatment of LDPC decoding algorithms and hardware implementations - Gives a systematic guidance, giving a basic understanding of LDPC codes and decoding algorithms and providing practical skills in implementing efficient LDPC decoders in hardware - Companion website containing C-Programs and MATLAB models for simulating the algorithms, and Verilog HDL codes for hardware modeling and synthesis

Fundamentals of Classical and Modern Error-Correcting Codes

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Publisher : Cambridge University Press
ISBN 13 : 1316512622
Total Pages : 843 pages
Book Rating : 4.3/5 (165 download)

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Book Synopsis Fundamentals of Classical and Modern Error-Correcting Codes by : Shu Lin

Download or read book Fundamentals of Classical and Modern Error-Correcting Codes written by Shu Lin and published by Cambridge University Press. This book was released on 2021-12-09 with total page 843 pages. Available in PDF, EPUB and Kindle. Book excerpt: An accessible textbook that uses step-by-step explanations, relatively easy mathematics and numerous examples to aid student understanding.

Decoding Wireless Communications

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Publisher : Cambridge Scholars Publishing
ISBN 13 : 1036407055
Total Pages : 288 pages
Book Rating : 4.0/5 (364 download)

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Book Synopsis Decoding Wireless Communications by : Attaphongse Taparugssanagorn

Download or read book Decoding Wireless Communications written by Attaphongse Taparugssanagorn and published by Cambridge Scholars Publishing. This book was released on 2024-06-21 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: Step into the captivating context of wireless technology with “Decoding Wireless Communications: Bridging Technology and Everyday Life.” Even if you are new to telecommunication engineering, this book makes the journey accessible and engaging. Through relatable analogies and insightful explanations, complex concepts become clear and relatable. Picture wireless networks as bustling cafes, and diversity techniques as the harmonious interplay of musicians in a band. Each chapter unfolds seamlessly, from combating interference with equalizers to navigating the multitasking marvels of Multiple-Input Multiple-Output Orthogonal Frequency Division Multiplexing (MIMO-OFDM). Explore the boundaries of wireless capacity and glimpse the future of 5G, Artificial Intelligence (AI), and the Internet of Things (IoT). Whether you are a curious beginner or a seasoned professional, this book promises an enlightening journey. With its blend of practical insights and thought-provoking reflections, “Decoding Wireless Communications” is your indispensable guide to thriving in our interconnected world. Prepare to be inspired and equipped with the knowledge to decode the intricacies of wireless technology. Grab your copy now and set forth on a journey of discovery that seamlessly intertwines technology with the fabric of everyday life.

Proceedings of the Eleventh National Conference on Communications

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Author :
Publisher : Allied Publishers
ISBN 13 : 9788177647358
Total Pages : 720 pages
Book Rating : 4.6/5 (473 download)

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Book Synopsis Proceedings of the Eleventh National Conference on Communications by :

Download or read book Proceedings of the Eleventh National Conference on Communications written by and published by Allied Publishers. This book was released on 2005 with total page 720 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Error Control Coding

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Publisher : Pearson Education India
ISBN 13 : 9788131734407
Total Pages : 1276 pages
Book Rating : 4.7/5 (344 download)

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Book Synopsis Error Control Coding by : Lin Shu

Download or read book Error Control Coding written by Lin Shu and published by Pearson Education India. This book was released on 2011 with total page 1276 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Classical and Quantum Information

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Publisher : Academic Press
ISBN 13 : 0123838754
Total Pages : 745 pages
Book Rating : 4.1/5 (238 download)

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Book Synopsis Classical and Quantum Information by : Dan C. Marinescu

Download or read book Classical and Quantum Information written by Dan C. Marinescu and published by Academic Press. This book was released on 2011-01-07 with total page 745 pages. Available in PDF, EPUB and Kindle. Book excerpt: A new discipline, Quantum Information Science, has emerged in the last two decades of the twentieth century at the intersection of Physics, Mathematics, and Computer Science. Quantum Information Processing is an application of Quantum Information Science which covers the transformation, storage, and transmission of quantum information; it represents a revolutionary approach to information processing. Classical and Quantum Information covers topics in quantum computing, quantum information theory, and quantum error correction, three important areas of quantum information processing. Quantum information theory and quantum error correction build on the scope, concepts, methodology, and techniques developed in the context of their close relatives, classical information theory and classical error correcting codes. - Presents recent results in quantum computing, quantum information theory, and quantum error correcting codes - Covers both classical and quantum information theory and error correcting codes - The last chapter of the book covers physical implementation of quantum information processing devices - Covers the mathematical formalism and the concepts in Quantum Mechanics critical for understanding the properties and the transformations of quantum information

Algorithmic Results in List Decoding

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Author :
Publisher : Now Publishers Inc
ISBN 13 : 1601980043
Total Pages : 110 pages
Book Rating : 4.6/5 (19 download)

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Book Synopsis Algorithmic Results in List Decoding by : Venkatesan Guruswami

Download or read book Algorithmic Results in List Decoding written by Venkatesan Guruswami and published by Now Publishers Inc. This book was released on 2007-01-24 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Codes for Data Transmission

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Publisher : Cambridge University Press
ISBN 13 : 1139435078
Total Pages : 617 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Algebraic Codes for Data Transmission by : Richard E. Blahut

Download or read book Algebraic Codes for Data Transmission written by Richard E. Blahut and published by Cambridge University Press. This book was released on 2003-02-06 with total page 617 pages. Available in PDF, EPUB and Kindle. Book excerpt: The need to transmit and store massive amounts of data reliably and without error is a vital part of modern communications systems. Error-correcting codes play a fundamental role in minimising data corruption caused by defects such as noise, interference, crosstalk and packet loss. This book provides an accessible introduction to the basic elements of algebraic codes, and discusses their use in a variety of applications. The author describes a range of important coding techniques, including Reed-Solomon codes, BCH codes, trellis codes, and turbocodes. Throughout the book, mathematical theory is illustrated by reference to many practical examples. The book was first published in 2003 and is aimed at graduate students of electrical and computer engineering, and at practising engineers whose work involves communications or signal processing.

Introduction to Coding Theory

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Author :
Publisher : Cambridge University Press
ISBN 13 : 9780521845045
Total Pages : 592 pages
Book Rating : 4.8/5 (45 download)

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Book Synopsis Introduction to Coding Theory by : Ron Roth

Download or read book Introduction to Coding Theory written by Ron Roth and published by Cambridge University Press. This book was released on 2006-02-23 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt: This 2006 book introduces the theoretical foundations of error-correcting codes for senior-undergraduate to graduate students.

Iterative Error Correction

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Publisher : Cambridge University Press
ISBN 13 : 0521871484
Total Pages : 356 pages
Book Rating : 4.5/5 (218 download)

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Book Synopsis Iterative Error Correction by : Sarah J. Johnson

Download or read book Iterative Error Correction written by Sarah J. Johnson and published by Cambridge University Press. This book was released on 2010 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents all of the key ideas needed to understand, design, implement and analyse iterative-based error correction schemes.

Error-Correction Coding and Decoding

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Author :
Publisher : Springer
ISBN 13 : 3319511033
Total Pages : 527 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Error-Correction Coding and Decoding by : Martin Tomlinson

Download or read book Error-Correction Coding and Decoding written by Martin Tomlinson and published by Springer. This book was released on 2017-02-21 with total page 527 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses both the theory and practical applications of self-correcting data, commonly known as error-correcting codes. The applications included demonstrate the importance of these codes in a wide range of everyday technologies, from smartphones to secure communications and transactions. Written in a readily understandable style, the book presents the authors’ twenty-five years of research organized into five parts: Part I is concerned with the theoretical performance attainable by using error correcting codes to achieve communications efficiency in digital communications systems. Part II explores the construction of error-correcting codes and explains the different families of codes and how they are designed. Techniques are described for producing the very best codes. Part III addresses the analysis of low-density parity-check (LDPC) codes, primarily to calculate their stopping sets and low-weight codeword spectrum which determines the performance of th ese codes. Part IV deals with decoders designed to realize optimum performance. Part V describes applications which include combined error correction and detection, public key cryptography using Goppa codes, correcting errors in passwords and watermarking. This book is a valuable resource for anyone interested in error-correcting codes and their applications, ranging from non-experts to professionals at the forefront of research in their field. This book is open access under a CC BY 4.0 license.

Coding and Cryptology

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Author :
Publisher : Springer
ISBN 13 : 3642209017
Total Pages : 302 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Coding and Cryptology by : Yeow Meng Chee

Download or read book Coding and Cryptology written by Yeow Meng Chee and published by Springer. This book was released on 2011-06-05 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the Third International Workshop on Coding and Cryptology, IWCC 2011, held in Qingdao, China, May 30-June 3, 2011. The 19 revised full technical papers are contributed by the invited speakers of the workshop. The papers were carefully reviewed and cover a broad range of foundational and methodological as well as applicative issues in coding and cryptology, as well as related areas such as combinatorics.

Applied Algebra, Algebraic Algorithms and Error-Correcting Codes

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Author :
Publisher : Springer
ISBN 13 : 3540456244
Total Pages : 411 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Applied Algebra, Algebraic Algorithms and Error-Correcting Codes by : Serdar Boztas

Download or read book Applied Algebra, Algebraic Algorithms and Error-Correcting Codes written by Serdar Boztas and published by Springer. This book was released on 2003-06-30 with total page 411 pages. Available in PDF, EPUB and Kindle. Book excerpt: The AAECC Symposia Series was started in 1983 by Alain Poli (Toulouse), who, together with R. Desq, D. Lazard, and P. Camion, organized the ?rst conference. Originally the acronym AAECC meant “Applied Algebra and Error-Correcting Codes”. Over the years its meaning has shifted to “Applied Algebra, Algebraic Algorithms, and Error-Correcting Codes”, re?ecting the growing importance of complexity in both decoding algorithms and computational algebra. AAECC aims to encourage cross-fertilization between algebraic methods and their applications in computing and communications. The algebraic orientation is towards ?nite ?elds, complexity, polynomials, and graphs. The applications orientation is towards both theoretical and practical error-correction coding, and, since AAECC 13 (Hawaii, 1999), towards cryptography. AAECC was the ?rst symposium with papers connecting Gr ̈obner bases with E-C codes. The balance between theoretical and practical is intended to shift regularly; at AAECC-14 the focus was on the theoretical side. The main subjects covered were: – Codes: iterative decoding, decoding methods, block codes, code construction. – Codes and algebra: algebraic curves, Gr ̈obner bases, and AG codes. – Algebra: rings and ?elds, polynomials. – Codes and combinatorics: graphs and matrices, designs, arithmetic. – Cryptography. – Computational algebra: algebraic algorithms. – Sequences for communications.

VLSI Architectures for Modern Error-Correcting Codes

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Author :
Publisher : CRC Press
ISBN 13 : 1351831224
Total Pages : 387 pages
Book Rating : 4.3/5 (518 download)

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Book Synopsis VLSI Architectures for Modern Error-Correcting Codes by : Xinmiao Zhang

Download or read book VLSI Architectures for Modern Error-Correcting Codes written by Xinmiao Zhang and published by CRC Press. This book was released on 2017-12-19 with total page 387 pages. Available in PDF, EPUB and Kindle. Book excerpt: Error-correcting codes are ubiquitous. They are adopted in almost every modern digital communication and storage system, such as wireless communications, optical communications, Flash memories, computer hard drives, sensor networks, and deep-space probing. New-generation and emerging applications demand codes with better error-correcting capability. On the other hand, the design and implementation of those high-gain error-correcting codes pose many challenges. They usually involve complex mathematical computations, and mapping them directly to hardware often leads to very high complexity. VLSI Architectures for Modern Error-Correcting Codes serves as a bridge connecting advancements in coding theory to practical hardware implementations. Instead of focusing on circuit-level design techniques, the book highlights integrated algorithmic and architectural transformations that lead to great improvements on throughput, silicon area requirement, and/or power consumption in the hardware implementation. The goal of this book is to provide a comprehensive and systematic review of available techniques and architectures, so that they can be easily followed by system and hardware designers to develop en/decoder implementations that meet error-correcting performance and cost requirements. This book can be also used as a reference for graduate-level courses on VLSI design and error-correcting coding. Particular emphases are placed on hard- and soft-decision Reed-Solomon (RS) and Bose-Chaudhuri-Hocquenghem (BCH) codes, and binary and non-binary low-density parity-check (LDPC) codes. These codes are among the best candidates for modern and emerging applications due to their good error-correcting performance and lower implementation complexity compared to other codes. To help explain the computations and en/decoder architectures, many examples and case studies are included. More importantly, discussions are provided on the advantages and drawbacks of different implementation approaches and architectures.