by J.H. van Lint Four new doubly-even (56, 28, 12) codes are constructed from Hadamard matrices of order 28. We assume that the reader is familiar with the basic facts from the theory of self-dual codes and designs. Our terminology and notation follow [3, lo]. The following theorem provides a meth
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Extremal doubly-even codes of length 40 derived from Hadamard matrices of order 20
โ Scribed by F.C. Bussemaker; V.D. Tonchev
- Publisher
- Elsevier Science
- Year
- 1990
- Tongue
- English
- Weight
- 281 KB
- Volume
- 82
- Category
- Article
- ISSN
- 0012-365X
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New extremal doubly-even codes of length
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Extremal doubly-even codes of length 64
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Any symmetric 2-(31, 10,3) design gives rise to a binary self-dual doubly-even code of length 64, and the code is extremal if and only if the design does not possess any ovals [15]. Codes derived from the known symmetric 2-(31,10,3) designs without ovals and their automorphism groups are investigate