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

D.E. Lazic, H. Kalouti, T. Beth · IEEE Transactions on Information Theory · 1998

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/spl rarr//spl infin/) primitive binary BCH codes cannot approximate the binomial distribution at all.

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