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On cyclic self-dual codes

✍ Scribed by Xiaoshan Kai; Shixin Zhu

Publisher
Springer
Year
2008
Tongue
English
Weight
204 KB
Volume
19
Category
Article
ISSN
0938-1279

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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