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Let B be the binary two-error-correcting BCH code of length 2m-1 and let Bˆ be the extended code of B. We give formal expressions of weight distributions of the cosets of the codes Bˆ only depending on m. We can then deduce the weight distributions of the cosets of B. When m is odd, it is well known that there are four distinct weight distributions for the cosets of B. So our main result is about the even case. Camion, Courteau, and Montpetit (see ibid., vol.38, no.7, p.1353, 1992) observe that for the lengths 15, 63, and 255 there are eight distinct weight distributions. We prove that this property holds for the codes Bˆ and B for all even m
Published in:
Information Theory, IEEE Transactions on
(Volume:40
,
Issue:
5
)
Date of Publication: Sep 1994
- Page(s):
- 1425 - 1442
- ISSN :
- 0018-9448
- INSPEC Accession Number:
- 4820641
- Digital Object Identifier :
- 10.1109/18.333859
- Product Type:
- Journals & Magazines
- Date of Current Version :
- 06 August 2002
- Issue Date :
- Sep 1994
- Sponsored by :
- IEEE Information Theory Society
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