DocumentCode
1254269
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
Volume
44
Issue
1
fYear
1998
fDate
1/1/1998 12:00:00 AM
Firstpage
294
Lastpage
295
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;
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/18.651049
Filename
651049
Link To Document