• DocumentCode
    1760609
  • Title

    Gray Code for Row-Reduced Echelon Forms Over the Binary Field

  • Author

    Braun, Martin

  • Author_Institution
    Univ. of Appl. Sci. Darmstadt, Darmstadt, Germany
  • Volume
    61
  • Issue
    2
  • fYear
    2015
  • fDate
    Feb. 2015
  • Firstpage
    829
  • Lastpage
    835
  • Abstract
    We visit generator matrices A0,A1,A2,··· of all k-dimensional subspaces of the n-dimensional vector space over the field with two elements such that two consecutive matrices Ai and Ai+1 differ in exactly one bit.
  • Keywords
    Gray codes; binary field; generator matrices; gray code; k-dimensional subspaces; n-dimensional vector space over; row-reduced echelon forms; Complexity theory; Equations; Generators; Hamming distance; Reflective binary codes; Silicon; Vectors; Graßmannian; Gra??mannian; Gray code; Row reduced Echelon forms; enumerative encoding; gray code; minimal change sequence;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.2014.2375171
  • Filename
    6987306
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1760609