Title :
Spectra of long primitive binary BCH codes cannot approach the binomial distribution
Author :
Lazic, Dejan E. ; Kalouti, Hakam ; Beth, Thomas
Author_Institution :
Fakultat fur Inf., Karlsruhe Univ., Germany
fDate :
1/1/1998 12:00:00 AM
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
Keywords :
BCH codes; binary sequences; binomial distribution; binomial distribution; code lengths; code rates; primitive binary BCH codes; spectra; weight distributions; Cryptography; Error correction codes; Redundancy; Reed-Solomon codes; Shape;
Journal_Title :
Information Theory, IEEE Transactions on
