• DocumentCode
    42491
  • Title

    Some Results on Cross-Correlation Distribution Between a p -Ary m -Sequence and Its Decimated Sequences

  • Author

    Yongbo Xia ; Chunlei Li ; Xiangyong Zeng ; Helleseth, Tor

  • Author_Institution
    Dept. of Math. & Stat., South-Central Univ. for Nat., Wuhan, China
  • Volume
    60
  • Issue
    11
  • fYear
    2014
  • fDate
    Nov. 2014
  • Firstpage
    7368
  • Lastpage
    7381
  • Abstract
    For an odd prime p and two positive integers m, k such that m/gcd (k,m) ≥ 3 is odd, let d be a positive integer satisfying d(pk+1)=2(mod pm-1). In this paper, the cross-correlation between a p-ary m-sequence and its d-decimated sequences is investigated, and the cross correlation distribution is completely determined. The relationship between the decimations d considered in this paper and some known ones is also studied. This paper generalizes some previous results, and also gives new decimations, which lead to low cross correlation.
  • Keywords
    correlation theory; cross-correlation distribution; decimated sequences; p-ary m-sequence; positive integer; Correlation; Educational institutions; Equations; Frequency modulation; Laboratories; Mathematical model; (m) -sequence; cross-correlation distribution; decimated sequence; exponential sum; quadratic form;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.2014.2350775
  • Filename
    6882257
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=42491