• DocumentCode
    1291122
  • Title

    A single asymmetric error-correcting code with 213 codewords of dimension 17

  • Author

    Al-Bassam, Sulaiman A. ; Al-Muhammadi, Sultan

  • Author_Institution
    Dept. of Inf. & Comput. Sci., King Fahd Univ. of Pet. & Miner., Dhahran, Saudi Arabia
  • Volume
    46
  • Issue
    1
  • fYear
    2000
  • fDate
    1/1/2000 12:00:00 AM
  • Firstpage
    269
  • Lastpage
    271
  • Abstract
    A new single asymmetric error-correcting code is proposed. This code is constructed using a product of two codes of smaller dimensions. The proposed code is of dimension 17 and of size 8192, i.e., with 213 codewords. The best known code of dimension 17 has size 7968 and capable of handling 12 information bits only. The only other three known cases of single asymmetric codes accommodating one more extra information bit than the symmetric case are for code dimensions 2, 4, and 16
  • Keywords
    error correction codes; 213 codewords; Cartesian product; dimension 17 code; information bits; single asymmetric error-correcting code; Cathode ray tubes; Error correction codes; Galois fields; Geometry; Linear code; Polynomials; Upper bound;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/18.817525
  • Filename
    817525