• DocumentCode
    939109
  • Title

    On the distribution of de Bruijn sequences of given complexity

  • Author

    Etzion, Tuvi ; Lempel, Abraham

  • Volume
    30
  • Issue
    4
  • fYear
    1984
  • fDate
    7/1/1984 12:00:00 AM
  • Firstpage
    611
  • Lastpage
    614
  • Abstract
    The distribution \\gamma (c, n) of de Bruijn sequences of order n and linear complexity c is investigated. It is shown that for n \\geq 4, \\gamma (2^{n} - 1, n) \\equiv 0 \\pmod {8} , and for k \\geq 3, \\gamma (2^{2k} - 1,2k) \\equiv 0 \\pmod {l6} . It is also shown that \\gamma (c, n) \\equiv 0 \\pmod {4} for all c , and n \\geq 3 such that cn is even.
  • Keywords
    Shift-register sequences; Computer science; Polynomials; Shift registers; State feedback;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.1984.1056933
  • Filename
    1056933
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=939109