Spectra of long primitive binary BCH codes cannot approach the binomial distribution

  • Authors:

  • D. E. Lazic;H. Kalouti;T. Beth

  • Affiliations:

  • Fakultat fur Inf., Karlsruhe Univ.;-;-

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

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Abstract

Usually spectra (weight distributions) of primitive binary BCH codes are supposed to approximate binomial weight distributions well for a wide range of code rates and code lengths. It is shown that for any fixed code rate R<1 spectra of long (N→∞) primitive binary BCH codes cannot approximate the binomial distribution at all