• DocumentCode
    2008104
  • Title

    New family of p-ary sequences with optimal correlation property and large linear span

  • Author

    Jang, Ji-Woong ; Kim, Young-Sik ; No, Jong-Seon ; Helleseth, Tor

  • Author_Institution
    Sch. of Electr. Eng & Comput. Sci.,, Seoul Nat. Univ., South Korea
  • fYear
    2003
  • fDate
    29 June-4 July 2003
  • Firstpage
    405
  • Abstract
    For an odd prime p and an integer n=(2m+1)k, a new family of p-ary sequences with optimal correlation property is constructed using Helleseth-Gong sequences. Period of the sequences is pn-1 and the size of family is pn. It is also derived that the linear span of the sequences in the family is (m+2)·n except the m-sequence in the family. The maximum nontrivial correlation value Rmax does not exceed 1+√(Pn) which means the optimal correlation property in terms of Welch´s lower bound.
  • Keywords
    correlation theory; sequences; Helleseth-Gong sequence; Welch´s lower bound; linear span sequence; maximum nontrivial correlation value; optimal correlation property; p-ary sequence family; sequence period; Autocorrelation; Galois fields; Informatics; Notice of Violation; Polynomials;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Information Theory, 2003. Proceedings. IEEE International Symposium on
  • Print_ISBN
    0-7803-7728-1
  • Type

    conf

  • DOI
    10.1109/ISIT.2003.1228422
  • Filename
    1228422
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2008104