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

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3 Author(s)
D. E. Lazic ; Fakultat fur Inf., Karlsruhe Univ., Germany ; H. Kalouti ; T. Beth

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

Published in:

IEEE Transactions on Information Theory  (Volume:44 ,  Issue: 1 )