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In this paper, we present some results concerning a decomposition of binary self-dual codes having an automorphism of an order which is the product of two odd prime numbers. These results are applied to construct self-dual [72,36,12] codes with an automorphism of order 15. Furthermore, it is proved that the automorphism group of a putative binary extremal self-dual [72,36,16] code contains at most 28 nontrivial types of automorphisms of odd order. A complete list of these possible types of automorphisms is presented.
Published in:
Information Theory, IEEE Transactions on
(Volume:50
,
Issue:
2
)
Date of Publication: Feb. 2004
- Page(s):
- 311 - 318
- ISSN :
- 0018-9448
- INSPEC Accession Number:
- 8004046
- Digital Object Identifier :
- 10.1109/TIT.2003.822598
- Product Type:
- Journals & Magazines
- Date of Current Version :
- 19 February 2004
- Issue Date :
- Feb. 2004
- Sponsored by :
- IEEE Information Theory Society
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