IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-3-0348-0667-1_71.html
   My bibliography  Save this book chapter

Basics of Secrecy Coding

In: Operator Theory

Author

Listed:
  • Phillip A. Regalia

    (National Science Foundation, Directorate for Computer and Information Science and Engineering)

Abstract

Linear system theory over finite fields has played a major role in unveiling the properties of linear error correction codes, thus providing essential insights into key design parameters and features, such as minimal realizations, distance spectra, trapping sets, and efficient decoder structures, among others. A more recent thrust in error correction coding (linear or otherwise) is in secrecy systems, in the form of physical layer security that can complement, and in certain cases even replace, classical cryptography in specific communication settings. This chapter reviews the basic principles of secrecy coding, focusing on the properties of linear codes that approach secrecy capacity, as a precursor to understanding design strategies that attain these properties, as offered in the references. Applications beyond secure communications of these same coding techniques, notably in watermarking and steganography, are also outlined.

Suggested Citation

  • Phillip A. Regalia, 2015. "Basics of Secrecy Coding," Springer Books, in: Daniel Alpay (ed.), Operator Theory, edition 127, chapter 37, pages 931-966, Springer.
    • Handle: RePEc:spr:sprchp:978-3-0348-0667-1_71
    DOI: 10.1007/978-3-0348-0667-1_71
    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:978-3-0348-0667-1_71. 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.