The covering radius of the Reed-Muller code is at least 16276

  • Authors:
  • N. Patterson;D. Wiedemann

  • Affiliations:
  • -;-

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

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Abstract

Two interesting cosets of the first-order Reed-Muller code of block length2^{15}are described. They provide counterexamples to a conjecture on the covering radius.