On the constructions of constant-weight codes

  • Authors:
  • Fang-Wei Fu;A. J. Han Vinck;Shi-Yi Shen

  • Affiliations:
  • Inst. of Exp. Math., Essen Univ.;-;-

  • Venue:
  • IEEE Transactions on Information Theory
  • Year:
  • 2006

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Abstract

Two methods of constructing binary constant-weight codes from (1) codes over GF(q) and (2) constant-weight codes over GF(q) are presented. Several classes of binary optimum constant-weight codes are derived from these methods. In general, we show that binary optimum constant-weight codes, which achieve the Johnson bound, can be constructed from optimum codes over GF(q) which achieve the Plotkin bound. Finally, several classes of optimum constant-weight codes over GF(q) are constructed