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Book List Decoding of Error Correcting Codes

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.

Book Error Correction Coding and Decoding

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.

Book Coding Theory

    Book Details:
  • Author : San Ling
  • Publisher : Cambridge University Press
  • Release : 2004-02-12
  • ISBN : 9780521529235
  • Pages : 238 pages

Download or read book Coding Theory written by San Ling and published by Cambridge University Press. This book was released on 2004-02-12 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: Coding theory is concerned with successfully transmitting data through a noisy channel and correcting errors in corrupted messages. It is of central importance for many applications in computer science or engineering. This book gives a comprehensive introduction to coding theory whilst only assuming basic linear algebra. It contains a detailed and rigorous introduction to the theory of block codes and moves on to more advanced topics like BCH codes, Goppa codes and Sudan's algorithm for list decoding. The issues of bounds and decoding, essential to the design of good codes, features prominently. The authors of this book have, for several years, successfully taught a course on coding theory to students at the National University of Singapore. This book is based on their experiences and provides a thoroughly modern introduction to the subject. There are numerous examples and exercises, some of which introduce students to novel or more advanced material.

Book Channel Coding  Theory  Algorithms  and Applications

Download or read book Channel Coding Theory Algorithms and Applications written by and published by Academic Press. This book was released on 2014-07-29 with total page 687 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a review of the principles, methods and techniques of important and emerging research topics and technologies in Channel Coding, including theory, algorithms, and applications. Edited by leading people in the field who, through their reputation, have been able to commission experts to write on a particular topic. With this reference source you will: Quickly grasp a new area of research Understand the underlying principles of a topic and its applications Ascertain how a topic relates to other areas and learn of the research issues yet to be resolved Quick tutorial reviews of important and emerging topics of research in Channel Coding Presents core principles in Channel Coding theory and shows their applications Reference content on core principles, technologies, algorithms and applications Comprehensive references to journal articles and other literature on which to build further, more specific and detailed knowledge

Book Gravity Falls  Journal 3 Special Edition

Download or read book Gravity Falls Journal 3 Special Edition written by Alex Hirsch and published by Disney Press. This book was released on 2017-06-13 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Untie the string and unwrap the brown paper to reveal . . . Journal 3 Limited Edition! This 288-page book contains all of the content of the regular edition, plus all-new top-secret black light pages on real parchment; a cover with leather texture and shiny metallic pieces; a magnifying glass; a tassel bookmark; and removable photos and notes. This $150 limited edition will also include a signed note from the creator of Gravity Falls and co-writer of Journal 3, Alex Hirsch himself.

Book Coding Theory and Cryptography

Download or read book Coding Theory and Cryptography written by D.C. Hankerson and published by CRC Press. This book was released on 2000-08-04 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: Containing data on number theory, encryption schemes, and cyclic codes, this highly successful textbook, proven by the authors in a popular two-quarter course, presents coding theory, construction, encoding, and decoding of specific code families in an "easy-to-use" manner appropriate for students with only a basic background in mathematics offering revised and updated material on the Berlekamp-Massey decoding algorithm and convolutional codes. Introducing the mathematics as it is needed and providing exercises with solutions, this edition includes an extensive section on cryptography, designed for an introductory course on the subject.

Book Fundamentals of Classical and Modern Error Correcting Codes

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 844 pages. Available in PDF, EPUB and Kindle. Book excerpt: Using easy-to-follow mathematics, this textbook provides comprehensive coverage of block codes and techniques for reliable communications and data storage. It covers major code designs and constructions from geometric, algebraic, and graph-theoretic points of view, decoding algorithms, error control additive white Gaussian noise (AWGN) and erasure, and dataless recovery. It simplifies a highly mathematical subject to a level that can be understood and applied with a minimum background in mathematics, provides step-by-step explanation of all covered topics, both fundamental and advanced, and includes plenty of practical illustrative examples to assist understanding. Numerous homework problems are included to strengthen student comprehension of new and abstract concepts, and a solutions manual is available online for instructors. Modern developments, including polar codes, are also covered. An essential textbook for senior undergraduates and graduates taking introductory coding courses, students taking advanced full-year graduate coding courses, and professionals working on coding for communications and data storage.

Book A Course in Error correcting Codes

Download or read book A Course in Error correcting Codes written by Jørn Justesen and published by European Mathematical Society. This book was released on 2004 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is written as a text for a course aimed at advanced undergraduates. Chapters cover the codes and decoding methods that are currently of most interest in research, development, and application. They give a relatively brief presentation of the essential results, emphasizing the interrelations between different methods and proofs of all important results. A sequence of problems at the end of each chapter serves to review the results and give the student an appreciation of the concepts.

Book Turbo Codes

    Book Details:
  • Author : Branka Vucetic
  • Publisher : Springer Science & Business Media
  • Release : 2012-12-06
  • ISBN : 1461544696
  • Pages : 330 pages

Download or read book Turbo Codes written by Branka Vucetic and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book grew out of our research, industry consulting and con tinuing education courses. Turbo coding initially seemed to belong to a restricted research area, while now has become a part of the mainstream telecommu nication theory and practice. The turbo decoding principles have found widespread applications not only in error control, but in de tection, interference suppression and equalization. Intended for use by advanced students and professional engi neers, involved in coding and telecommunication research, the book includes both basic and advanced material. The chapters are se quenced so that the knowledge is acquired in a logical and progres sive way. The algorithm descriptions and analysis are supported by examples throughout the book. Performance evaluations of the presented algorithms are carried out both analytically and by sim ulations. Basic material included in the book has been taught to students and practicing professionals over the last four years in the form of senior undergraduate or graduate courses, lecture series and short continuing education courses.

Book Constrained Coding and Soft Iterative Decoding

Download or read book Constrained Coding and Soft Iterative Decoding written by John L. Fan and published by Springer Science & Business Media. This book was released on 2001-08-31 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: Constrained Coding and Soft Iterative Decoding is the first work to combine the issues of constrained coding and soft iterative decoding (e.g., turbo and LDPC codes) from a unified point of view. Since constrained coding is widely used in magnetic and optical storage, it is necessary to use some special techniques (modified concatenation scheme or bit insertion) in order to apply soft iterative decoding. Recent breakthroughs in the design and decoding of error-control codes (ECCs) show significant potential for improving the performance of many communications systems. ECCs such as turbo codes and low-density parity check (LDPC) codes can be represented by graphs and decoded by passing probabilistic (a.k.a. `soft') messages along the edges of the graph. This message-passing algorithm yields powerful decoders whose performance can approach the theoretical limits on capacity. This exposition uses `normal graphs,' introduced by Forney, which extend in a natural manner to block diagram representations of the system and provide a simple unified framework for the decoding of ECCs, constrained codes, and channels with memory. Soft iterative decoding is illustrated by the application of turbo codes and LDPC codes to magnetic recording channels. For magnetic and optical storage, an issue arises in the use of constrained coding, which places restrictions on the sequences that can be transmitted through the channel; the use of constrained coding in combination with soft ECC decoders is addressed by the modified concatenation scheme also known as `reverse concatenation.' Moreover, a soft constraint decoder yields additional coding gain from the redundancy in the constraint, which may be of practical interest in the case of optical storage. In addition, this monograph presents several other research results (including the design of sliding-block lossless compression codes, and the decoding of array codes as LDPC codes). Constrained Coding and Soft Iterative Decoding will prove useful to students, researchers and professional engineers who are interested in understanding this new soft iterative decoding paradigm and applying it in communications and storage systems.

Book Essays on Coding Theory

    Book Details:
  • Author : Ian F. Blake
  • Publisher : Cambridge University Press
  • Release : 2024-03-31
  • ISBN : 1009283375
  • Pages : 473 pages

Download or read book Essays on Coding Theory written by Ian F. Blake and published by Cambridge University Press. This book was released on 2024-03-31 with total page 473 pages. Available in PDF, EPUB and Kindle. Book excerpt: Brief informal introductions to coding techniques developed for the storage, retrieval, and transmission of large amounts of data.

Book Trellis Decoding of Block Codes

Download or read book Trellis Decoding of Block Codes written by Bahram Honary and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is a great pleasure to be asked to write the Preface for this book on trellis decoding of error correcting block codes. The subject is extremely significant both theoretically and practically, and is very timely because of recent devel opments in the microelectronic implementation and range of application of error-control coding systems based on block codes. The authors have been notably active in signal processing and coding research and development for several years, and therefore very well placed to contribute to the state of the art on the subject of trellis decoding. In particular, the book represents a unique approach to many practical aspects of the topic. As the authors point out, there are two main classes of error control codes: block codes and convolutinal codes. Block codes came first historically and have a well-developed mathematical structure. Convolutional codes come later, and have developed heuristically, though a more formal treatment has emerged via recent developments in the theory of symbolic dynamics. Max imum likelihood (ML) decoding of powerful codes in both these classes is computationally complex in the general case; that is, ML decoding fails into the class of NP-hard computational problems. This arieses because the de coding complexity is an exponential function of key parameters of the code.

Book Fundamentals of Codes  Graphs  and Iterative Decoding

Download or read book Fundamentals of Codes Graphs and Iterative Decoding written by Stephen B. Wicker and published by Springer Science & Business Media. This book was released on 2006-04-18 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fundamentals of Codes, Graphs, and Iterative Decoding is an explanation of how to introduce local connectivity, and how to exploit simple structural descriptions. Chapter 1 provides an overview of Shannon theory and the basic tools of complexity theory, communication theory, and bounds on code construction. Chapters 2 - 4 provide an overview of "classical" error control coding, with an introduction to abstract algebra, and block and convolutional codes. Chapters 5 - 9 then proceed to systematically develop the key research results of the 1990s and early 2000s with an introduction to graph theory, followed by chapters on algorithms on graphs, turbo error control, low density parity check codes, and low density generator codes.

Book House of Leaves

    Book Details:
  • Author : Mark Z. Danielewski
  • Publisher : Pantheon
  • Release : 2000-03-07
  • ISBN : 0375420525
  • Pages : 738 pages

Download or read book House of Leaves written by Mark Z. Danielewski and published by Pantheon. This book was released on 2000-03-07 with total page 738 pages. Available in PDF, EPUB and Kindle. Book excerpt: “A novelistic mosaic that simultaneously reads like a thriller and like a strange, dreamlike excursion into the subconscious.” —The New York Times Years ago, when House of Leaves was first being passed around, it was nothing more than a badly bundled heap of paper, parts of which would occasionally surface on the Internet. No one could have anticipated the small but devoted following this terrifying story would soon command. Starting with an odd assortment of marginalized youth -- musicians, tattoo artists, programmers, strippers, environmentalists, and adrenaline junkies -- the book eventually made its way into the hands of older generations, who not only found themselves in those strangely arranged pages but also discovered a way back into the lives of their estranged children. Now this astonishing novel is made available in book form, complete with the original colored words, vertical footnotes, and second and third appendices. The story remains unchanged, focusing on a young family that moves into a small home on Ash Tree Lane where they discover something is terribly wrong: their house is bigger on the inside than it is on the outside. Of course, neither Pulitzer Prize-winning photojournalist Will Navidson nor his companion Karen Green was prepared to face the consequences of that impossibility, until the day their two little children wandered off and their voices eerily began to return another story -- of creature darkness, of an ever-growing abyss behind a closet door, and of that unholy growl which soon enough would tear through their walls and consume all their dreams.

Book The Seven Steps to Mercy

    Book Details:
  • Author : Erlend Loe
  • Publisher : Createspace Independent Publishing Platform
  • Release : 2015-11-05
  • ISBN : 9781519145017
  • Pages : 382 pages

Download or read book The Seven Steps to Mercy written by Erlend Loe and published by Createspace Independent Publishing Platform. This book was released on 2015-11-05 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the BOOK about codes and ciphers in Shakespeare. And it is also the MAP leading to Oak Island's Mercy Point.

Book Decoding the Ethics Code

Download or read book Decoding the Ethics Code written by Celia B. Fisher and published by SAGE Publications. This book was released on 2016-04-12 with total page 675 pages. Available in PDF, EPUB and Kindle. Book excerpt: Revised to reflect the current status of scientific and professional theory, practices, and debate across all facets of ethical decision making, this latest edition of Celia B. Fisher’s acclaimed book demystifies the American Psychological Association’s (APA) Ethical Principles of Psychologists and Code of Conduct. The Fourth Edition explains and puts into practical perspective the format, choice of wording, aspirational principles, and enforceability of the code. Providing in-depth discussions of the foundation and application of each ethical standard to the broad spectrum of scientific, teaching, and professional roles of psychologists, this unique guide helps practitioners effectively use ethical principles and standards to morally conduct their work activities, avoid ethical violations, and, most importantly, preserve and protect the fundamental rights and welfare of those whom they serve.

Book Error Control Coding for Data Networks

Download or read book Error Control Coding for Data Networks written by Irving S. Reed and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 554 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of Error-Control Coding for Data Networks is to provide an accessible and comprehensive overview of the fundamental techniques and practical applications of the error-control coding needed by students and engineers. An additional purpose of the book is to acquaint the reader with the analytical techniques used to design an error-control coding system for many new applications in data networks. Error~control coding is a field in which elegant theory was motivated by practical problems so that it often leads to important useful advances. Claude Shannon in 1948 proved the existence of error-control codes that, under suitable conditions and at rates less than channel capacity, would transmit error-free information for all practical applications. The first practical binary codes were introduced by Richard Hamming and Marcel Golay from which the drama and excitement have infused researchers and engineers in digital communication and error-control coding for more than fifty years. Nowadays, error-control codes are being used in almost all modem digital electronic systems and data networks. Not only is coding equipment being implemented to increase the energy and bandwidth efficiency of communication systems, but coding also provides innovative solutions to many related data-networking problems.