Extremal binary self-dual codes

In this correspondence, we investigate binary extremal self-dual codes. Numerous extremal self-dual codes and interesting self-dual codes with minimum weight d=14 and 16 are constructed. In particular, the first extremal Type I [86,43,16] code and new extremal self-dual codes with weight enumerators...

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Bibliographic Details
Published in:IEEE transactions on information theory 1997-11, Vol.43 (6), p.2036-2047
Main Authors: Dougherty, S.T., Gulliver, T.A., Harada, M.
Format: Article
Language:English
Subjects:
Binary system
Code standards
Codes
Information technology
Mathematics
Vectors
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Summary:In this correspondence, we investigate binary extremal self-dual codes. Numerous extremal self-dual codes and interesting self-dual codes with minimum weight d=14 and 16 are constructed. In particular, the first extremal Type I [86,43,16] code and new extremal self-dual codes with weight enumerators which were not previously known to exist for lengths 40,50,52 and 54 are constructed. We also determine the possible weight enumerators for extremal Type I codes of lengths 66-100.
ISSN:0018-9448
1557-9654
DOI:10.1109/18.641574