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Extremal doubly-even codes of length 40 derived from Hadamard matrices of order 20

โœ 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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๐Ÿ“œ SIMILAR VOLUMES


New extremal doubly-even codes of length
โœ F.C. Bussemaker; V.D. Tonchev ๐Ÿ“‚ Article ๐Ÿ“… 1989 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 404 KB

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

Extremal doubly-even codes of length 64
โœ S.N. Kapralov; V.D. Tonchev ๐Ÿ“‚ Article ๐Ÿ“… 1990 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 331 KB

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