• DocumentCode
    921137
  • Title

    Families of sequences with optimal Hamming-correlation properties

  • Author

    Lempel, Abraham ; Greenberger, Haim

  • Volume
    20
  • Issue
    1
  • fYear
    1974
  • fDate
    1/1/1974 12:00:00 AM
  • Firstpage
    90
  • Lastpage
    94
  • Abstract
    The unnormalized Hamming correlation between two sequences of equal length is the number of positions in which these sequences have identical symbols. In this paper, lower bounds on the out-of-phase autocorrelation and on the cross correlation of sequences of given length and alphabet size are derived. A method of constructing families of sequences that uniformly realize these hounds is presented.
  • Keywords
    Sequences; Autocorrelation; Binary sequences; Galois fields; Length measurement; Linear feedback shift registers; Performance evaluation; Polynomials; Position measurement; Q measurement;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.1974.1055169
  • Filename
    1055169