• DocumentCode
    1502310
  • Title

    Periodic binary sequences with the "trinomial property"

  • Author

    Golomb, Solomon W. ; Gong, Guang

  • Author_Institution
    Commun. Sci. Inst., Univ. of Southern California, Los Angeles, CA, USA
  • Volume
    45
  • Issue
    4
  • fYear
    1999
  • fDate
    5/1/1999 12:00:00 AM
  • Firstpage
    1276
  • Lastpage
    1279
  • Abstract
    Periodic binary sequences with the "trinomial property" are considered. Some necessary and sufficient conditions for "trinomial pairs" of a nonlinear sequence of period 2n-1 as well as classifications for trinomial pairs are derived. Complete searches for trinomial pairs of sequences have been completed for 3≤n≤17. We list them here for n≤12.
  • Keywords
    binary sequences; nonlinear codes; experimental results; intransitive trinomial pairs; m-sequences; necessary conditions; nonlinear sequence; periodic binary sequences; sufficient conditions; transitive trinomial pairs; trinomial pairs classification; trinomial property; Binary sequences; Codes; Lead; Polynomials; Sufficient conditions;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/18.761284
  • Filename
    761284
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1502310