• DocumentCode
    1379657
  • Title

    Comments on "On the covering radius of codes" [with reply]

  • Author

    Graham, R.L. ; Sloane, N.J.A.

  • Volume
    36
  • Issue
    4
  • fYear
    1990
  • fDate
    7/1/1990 12:00:00 AM
  • Firstpage
    953
  • Lastpage
    954
  • Abstract
    The commenters point out that with the definition of the norm of a code as originally given in the above-titled paper (see ibid., vol.IT 31, p.385-401, May 1985), certain results do not hold. However, with the corrected definition given by G.D. Cohen et al. (see ibid., vol.IT 32, p.680-94, Sept. 1986), they do hold. they also point out that the hypotheses of Lemma 27 of the above-titled paper need modification, which they provide. The authors´ reply that they were aware of the problems with the definition of norm and thank the commenters for their correction to Lemma 27.<>
  • Keywords
    codes; binary linear code; codes; covering radius; norm; Decoding; Linear code; Logic; Mathematics; Qualifications; Upper bound;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/18.53766
  • Filename
    53766