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On Extremal Self-Dual Codes of Length 96

✍ Scribed by de la Cruz, J.; Willems, W.

Book ID: 114642752
Publisher: IEEE
Year: 2011
Tongue: English
Weight: 148 KB
Volume: 57
Category: Article
ISSN: 0018-9448
DOI: 10.1109/tit.2011.2155031

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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