New upper bounds on the rate of a code via the Delsarte-MacWilliams inequalities

  • Authors:
  • R. McEliece;E. Rodemich;H. Rumsey;L. Welch

  • Affiliations:
  • -;-;-;-

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

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Abstract

With the Delsarte-MacWilliams inequalities as a starting point, an upper bound is obtained on the rate of a binary code as a function of its minimum distance. This upper bound is asymptotically less than Levenshtein's bound, and so also Elias's.