• DocumentCode
    919117
  • Title

    On the correlation distribution of the Coulter-Matthews decimation

  • Author

    Ness, Geir Jarle ; Helleseth, Tor ; Kholosha, Alexander

  • Author_Institution
    Dept. of Informatics, Univ. of Bergen, Norway
  • Volume
    52
  • Issue
    5
  • fYear
    2006
  • fDate
    5/1/2006 12:00:00 AM
  • Firstpage
    2241
  • Lastpage
    2247
  • Abstract
    The distribution of the cross correlation between the ternary m-sequence {st} of period n=3m-1 and the decimated sequences {sdt} and {sdt+1} of period (3m-1)/2, where d=3k+1/2 with k odd and gcd(k,m)=1 is determined. The method to find this distribution is related to the result by Coulter and Matthews that f(x)=xd is a planar function over GF(3m).
  • Keywords
    Galois fields; correlation methods; m-sequences; ternary codes; Coulter-Matthews decimation; Galois field; cross correlation distribution; planar function; ternary m-sequence; Councils; Galois fields; Informatics; Polynomials; Cross-correlation function; planar functions;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.2006.872857
  • Filename
    1624659
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=919117