• DocumentCode
    960324
  • Title

    A New Family of Four-Valued Cross Correlation Between m-Sequences of Different Lengths

  • Author

    Ness, Geir Jarle ; Helleseth, Tor

  • Author_Institution
    Bergen Univ., Bergen
  • Volume
    53
  • Issue
    11
  • fYear
    2007
  • Firstpage
    4308
  • Lastpage
    4313
  • Abstract
    The cross-correlation function between m-sequences of period 2m - 1, where m = 6k, and m-sequences of shorter period 2m/2 - 1 is investigated. The first infinite family of pairs of m-sequences with four-valued cross correlation is constructed and the complete correlation distribution of this family is determined.
  • Keywords
    correlation methods; m-sequences; affine polynomials; four-valued cross correlation; linearized polynomials; m-sequences; Binary sequences; Councils; Informatics; Polynomials; $m$-sequences; Affine polynomials; cross correlation; linearized polynomials;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.2007.907447
  • Filename
    4373420