Last edited by Shaktitaur
Friday, July 17, 2020 | History

10 edition of The theory of error correcting codes found in the catalog.

The theory of error correcting codes

by Florence Jessie MacWilliams

  • 6 Want to read
  • 15 Currently reading

Published by North-Holland Pub. Co., sole distributors for the U.S.A. and Canada, Elsevier/North-Holland in Amsterdam, New York, New York .
Written in English

    Subjects:
  • Error-correcting codes (Information theory)

  • Edition Notes

    StatementF. J. MacWilliams, N. J. A. Sloane.
    SeriesNorth-Holland mathematical library ; v. 16
    ContributionsSloane, N. J. A. 1939- joint author.
    Classifications
    LC ClassificationsQA268 .M3
    The Physical Object
    Pagination2 v. (xv, 762 p.) :
    Number of Pages762
    ID Numbers
    Open LibraryOL4898426M
    ISBN 100444850090
    LC Control Number76041296

    An introduction to the theory of error-correction codes, and in particular to linear block codes is provided in this book. It considers such codes as Hamming codes and Golay codes, correction of double errors, use of finite fields, cyclic codes, BCH codes and weight distributions, as well as design of codes/5(8). ( views) Error-Correction Coding and Decoding by Martin Tomlinson, et al. - Springer, 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. ( views).

    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. Error-correcting codes have been incorporated in numerous working communication and memory systems. This book covers the mathematical aspects of the theory of block error-correcting codes together, in mutual reinforcement, with computational discussions, implementations and examples of all relevant concepts, functions and algorithms.

    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. The theory of error-correcting codes Published in: Proceedings of the IEEE (Volume: 68, Issue: 1, Jan. ) Article #: Page(s): - Date of Publication: Jan. ISSN Information: Print ISSN: Electronic ISSN: INSPEC Accession Number: Persistent Link.


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The theory of error correcting codes by Florence Jessie MacWilliams Download PDF EPUB FB2

This is a good, well-structured book for a first course in error-correcting codes, for an undergraduate who has had linear algebra and either has had a little bit of number theory / basic discrete math, or is comfortable picking the basics up on the fly.

The book does include chapters to brush up on those preliminary by:   Introduction to the Theory of Error-Correcting Codes, Third Edition is the ideal textbook for senior-undergraduate and first-year graduate courses on error-correcting codes in mathematics, computer science, and electrical engineering.

From the Back by: Search in this book series. The Theory of Error-Correcting Codes. Edited by F.J. MacWilliams, N.J.A. Sloane. Vol Pages ii-xii, () Download full volume.

Previous volume. Next volume. Actions for selected chapters. Select all. Purchase The Theory of Error-Correcting Codes, Volume 16 - 1st Edition. Print Book & E-Book. ISBNBook Edition: 1.

The Theory of Error-Correcting Codes | F. MacWilliams, N. Sloane | download | B–OK. Download books for free. Find books. Access-restricted-item true Addeddate Associated-names Sloane, N. (Neil James Alexander), Bookplateleaf Boxid IAPages: Mathematicians have been fascinated with the theory oferror-correcting codes since the publication of Shannon's classicpapers fifty years ago.

With the proliferation of communicationssystems, computers, and digital audio devices that employerror-correcting codes, the theory has taken on practicalimportance in the solution of coding problems. The book offers an original view on channel coding, based on a unitary approach to block and convolutional codes for error correction.

It presents both new concepts. Software for error-correcting codes. Simulating the behaviour of error-correcting codes (ECCs) in software is a common practice to design, validate and improve ECCs.

The upcoming wireless 5G standard raises a new range of applications for the software ECCs: the Cloud Radio Access Networks (C-RAN) in a Software-defined radio (SDR) context. The. will refer to a code with parameters n, k, and d as an (n;k;d)-code.

Linear Codes A code that is a subspace of Fn is said to be a linear code. All of the codes we will consider in this course will be linear codes. We will view the elements of Fn as row matrices.

There are some useful matrices attached to a linear code C ™ Fn. The first. The role of error-correcting codes in modern cryptography is treated as are data compression and other topics related to information theory.

The definition-theorem proof style used in mathematics texts is employed through the book but formalism is avoided wherever possible. You can write a book review and share your experiences.

Other readers will always be interested in your opinion of the books you've read. Whether you've loved the book or not, if you give your honest and detailed thoughts then people will find new books that are right for them. code that corrects errors. A set of messages destined for transmission over a communication channel with noise with the property that the "neighbourhood" of each message (that is, the set of most likely distorted versions of this message) does not intersect with the neighbourhoods of other messages.

This property of an error-correcting code enables one to correct. Benjamin Arazi is an Associate Professor in the Department of Electrical and Computer Engineering at the Ben-Gurion University of the Negev.

His book is included in the Computer Systems Series, edited by Herb Schwetman.1/5(1). Chapters on number theory and polynomial algebra are included to support linear codes and cyclic codes, and an extensive reminder of relevant topics in linear algebra is given.

The book covers both classical methods, such as block and convolutional codes, and modern developments, such as turbo codes and low-density parity check (LDPC) codes (LDPC codes have been known for decades, but only recently, thanks to technological advances, have they started to be considered for practical implementations).

The most fundamental error-correcting code is Hamming code, in particular the (3, 1) variant. This can correct single bit errors by sending each bit three times, and. Title: Microsoft PowerPoint - Author: jrs Created Date: 11/14/ PM. Because it carefully balances both theory and applications, this book will be an indispensable resource for readers seeking a timely treatment of error-correcting codes.

Early chapters cover fundamental concepts, introducing Shannon’s theorem, asymptotically good codes and linear codes.

Mathematicians have been fascinated with the theory of error-correcting codes since the publication of Shannon's classic papers fifty years ago. With the proliferation of communications systems, computers, and digital audio devices that employ error-correcting codes, the theory has taken on practical importance in the solution of coding problems.

The covering radius of a code is defined to be the smallest integer R such that spheres of radius R with their centers at the codewords cover all the words of Fn.

If the covering radius R is equal to the packing radius ρ, the code is called a perfect ρ-error-correcting code.

Thus perfect codes are those for which equality holds in ().Explore our list of Error-correcting codes (Information theory) Books at Barnes & Noble®. Receive FREE shipping with your Barnes & Noble Membership. Due to COVID, orders may be delayed. Thank you for your patience. Error-correcting codes (Information theory) 1 - .$5 of Ch alternant codes automorphism group BCH code bent functions Berlekamp binary BCH code binary code Boolean function bound code of length code over GF(q codewords of weight coefficients columns contains coordinates coset cyclic code cyclic shift cyclotomic cosets defined Delsarte denoted designed distance dimension dual code EG(m element Reviews: 1.