IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-1-4471-0039-3_10.html
   My bibliography  Save this book chapter

Coding Theory

In: Further Algebra and Applications

Author

Listed:
  • P. M. Cohn

    (University College London, Department of Mathematics)

Abstract

The theory of error-correcting codes deals with the design of codes which will detect, and if possible correct, any errors that occur in transmission. Codes should be distinguished from cyphers, which form the subject of cryptography. The subject of codes dates from Claude Shannon’s classic paper on information theory (Shannon [1948D and Section 10.1 provides a sketch of the background, leading up to the statement (but no proof) of Shannon’s theorem. Most of the codes dealt with are block codes which are described in Section 10.2, with a more detailed account of special cases in Sections 10.3-10.5; much of this is an application of the theory of finite fields (see BA, Section 7.8).

Suggested Citation

  • P. M. Cohn, 2003. "Coding Theory," Springer Books, in: Further Algebra and Applications, chapter 10, pages 371-393, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4471-0039-3_10
    DOI: 10.1007/978-1-4471-0039-3_10
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a
    for a similarly titled item that would be available.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:sprchp:978-1-4471-0039-3_10. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.