• DocumentCode
    1051642
  • Title

    Balanced Maximum Counting Sequences

  • Author

    Suparta, I. Nengah ; Van Zanten, Arend Jan

  • Author_Institution
    Dept. of Math. Educ., IKIP Negeri Singaraja, Bali
  • Volume
    52
  • Issue
    8
  • fYear
    2006
  • Firstpage
    3827
  • Lastpage
    3830
  • Abstract
    In this correspondence, we discuss a modified version of a method due to Bakos and, independently, to Robinson and Cohn for the construction of Gray sequences. We make use of this construction to prove the existence of so-called balanced cyclic half Gray sequences. Furthermore, we discuss a specific type of counting sequences, called maximum counting sequences, and we prove a conjecture of Robinson and Cohn with respect to the existence of balanced maximum counting sequences
  • Keywords
    binary sequences; cyclic codes; Gray sequence; Robinson- and-Cohn conjecture; balanced maximum counting sequence; Application software; Computer science; Computer science education; Hamming distance; Mathematics; Reflective binary codes; Balanced counting sequences; Gray sequences; counting sequences; maximum counting sequences;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.2006.878217
  • Filename
    1661863