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Designs and self-dual codes with long shadows
- Source :
-
Journal of Combinatorial Theory - Series A . Jan2004, Vol. 105 Issue 1, p15. 20p. - Publication Year :
- 2004
-
Abstract
- In this paper we introduce the notion of <f>s</f>-extremal codes for self-dual binary codes and we relate this notion to the existence of <f>1</f>-designs or <f>2</f>-designs in these codes. We extend the classification of codes with long shadows of Elkies (Math. Res. Lett. 2(5) (1995) 643) to codes with minimum distance 6, for which we give partial classification. [Copyright &y& Elsevier]
- Subjects :
- *BINARY number system
*EXTREMAL problems (Mathematics)
*DESIGN
*MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 00973165
- Volume :
- 105
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Combinatorial Theory - Series A
- Publication Type :
- Academic Journal
- Accession number :
- 11960601
- Full Text :
- https://doi.org/10.1016/j.jcta.2003.09.003