• DocumentCode
    754577
  • Title

    Results on the nonlinear span of binary sequences

  • Author

    Rizomiliotis, Panagiotis ; Kalouptsidis, Nicholas

  • Author_Institution
    Dept. of Informatics & Telecommun., Nat. & Kapodistrian Univ. of Athens, Greece
  • Volume
    51
  • Issue
    4
  • fYear
    2005
  • fDate
    4/1/2005 12:00:00 AM
  • Firstpage
    1555
  • Lastpage
    1563
  • Abstract
    The problem of finding the length of a shortest feedback shift register that generates a given finite-length sequence is considered. An efficient algorithm for the determination of the span is proposed, that takes advantage of the special block structure of the associated system of linear equations. The span distribution of finite-length binary sequences is also studied.
  • Keywords
    binary sequences; nonlinear functions; shift registers; associated system; block structure; finite-length binary sequence; linear equation; nonlinear span; shortest feedback shift register; span distribution; Binary sequences; Codes; Information theory; Memoryless systems; Notice of Violation; Source coding; Binary sequences; nonlinear feedback functions; shift registers; span;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.2005.844090
  • Filename
    1412047