• DocumentCode
    1241364
  • Title

    Cyclic constructions of distance-preserving maps

  • Author

    Lee, Kwankyu

  • Author_Institution
    Dept. of Math. & Stat., San Diego State Univ., CA
  • Volume
    51
  • Issue
    12
  • fYear
    2005
  • Firstpage
    4392
  • Lastpage
    4396
  • Abstract
    Distance-preserving maps (DPMs) from binary vectors to permutations are useful for the construction of permutation arrays. A new construction of DPMs is presented. We study the distance increasing property of the new DPMs that this construction yields. Then we show that new DPMs contain a class of nicely structured DPMs of even length with good distance increasing property
  • Keywords
    Hamming codes; binary codes; binary sequences; cyclic codes; vectors; DPM; Hamming distance; binary vector; cyclic construction; distance-preserving map; permutation array; Hamming distance; Mathematics; Scholarships; Statistics; Distance-preserving maps (DPMs); Hamming distance; permutation arrays;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.2005.858990
  • Filename
    1542434