• DocumentCode
    3433793
  • Title

    A note on covering radius of MacDonald codes

  • Author

    Bhandari, M.C. ; Durairajan, C.

  • Author_Institution
    Dept. of Math., Indian Inst. of Technol., Kanpur, India
  • fYear
    2003
  • fDate
    28-30 April 2003
  • Firstpage
    221
  • Lastpage
    225
  • Abstract
    We determine an upper bound for the covering radius of a q-ary MacDonald code Ck,u(q). Values of nq(4, d), the minimal length of a 4-dimensional q-ary code with minimum distance d is obtained for d = q2 - 1 and q2 - 2. These are used to determine the covering radius of C3,1(q), C3,2(q) and C4,2(q).
  • Keywords
    linear codes; matrix algebra; 4-dimensional q-ary code; covering radius; linear codes; optimal codes; q-ary MacDonald code; Art; Binary codes; Character generation; Educational institutions; Galois fields; Government; Hamming distance; Linear code; Mathematics; Upper bound;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Information Technology: Coding and Computing [Computers and Communications], 2003. Proceedings. ITCC 2003. International Conference on
  • Print_ISBN
    0-7695-1916-4
  • Type

    conf

  • DOI
    10.1109/ITCC.2003.1197530
  • Filename
    1197530