• DocumentCode
    1181059
  • Title

    Distance-preserving mappings from binary vectors to permutations

  • Author

    Chang, Jen-Chun ; Chen, Rong-Jaye ; Klove, T. ; Tsai, Shi-Chun

  • Author_Institution
    Dept. of Inf. Manage., Ming Hsin Univ. of Sci. & Technol., Hsin Chu, Taiwan
  • Volume
    49
  • Issue
    4
  • fYear
    2003
  • fDate
    4/1/2003 12:00:00 AM
  • Firstpage
    1054
  • Lastpage
    1059
  • Abstract
    Mappings of the set of binary vectors of a fixed length to the set of permutations of the same length are useful for the construction of permutation codes. In this article, several explicit constructions of such mappings preserving or increasing the Hamming distance are given. Some applications are given to illustrate the usefulness of the construction. In particular, a new lower bound on the maximal size of permutation arrays (PAs) is given.
  • Keywords
    binary codes; Hamming distance; binary codes; binary vectors; distance-preserving mappings; lower bound; permutation array size; permutation codes; permutation trellis codes; permutations; recursive constructions; Computer science; Convolutional codes; Councils; Hamming distance; Informatics; Information management; Modulation coding;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.2003.809507
  • Filename
    1193814