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On the support designs of extremal binary doubly even self-dual codes

โœ Scribed by Horiguchi, Naoyuki; Miezaki, Tsuyoshi; Nakasora, Hiroyuki

Book ID
125358774
Publisher
Springer
Year
2012
Tongue
English
Weight
140 KB
Volume
72
Category
Article
ISSN
0925-1022

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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

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We give a construction of an infinite class of doubly even self dual binary codes including a code of length 112. (The study of such a code is closely related to the existence problem of a projective plane of order ten.)