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Existence of new extremal doubly-even codes and extremal singly-even codes

โœ Scribed by Masaaki Harada


Book ID
118771500
Publisher
Springer
Year
1996
Tongue
English
Weight
535 KB
Volume
8
Category
Article
ISSN
0925-1022

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๐Ÿ“œ SIMILAR VOLUMES


On self-dual doubly-even extremal codes
โœ Helmut Koch ๐Ÿ“‚ Article ๐Ÿ“… 1990 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 488 KB

Let C be a binary linear self-dual doubly-even code of length n and minimal weight d. Such codes exist only if 12 = 0 (mod 8). We put II = 24r + 8s, s = 0, 1, 2. It follows from the work of Gleason [2] and of Mallows and Sloane [6] that d s 4r + 4. C is called extremal if d = 4r + 4. In the followin