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.)
Generalized H-codes and doubly even self-dual binary codes
β Scribed by R. Wei; L. Zhu
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 286 KB
- Volume
- 51
- Category
- Article
- ISSN
- 0378-3758
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π SIMILAR VOLUMES
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
We give a construction of binary doubly even self dual codes as binary images of some principal ideals in a group algebra. In particular, we show how to produce such a code starting from any binary cyclic code with length not a multiple of 4 and dimension at least 3.
## Abstract An Erratum has been published for this article in Journal of Combinatorial Designs 14: 83β83, 2006. We enumerate a list of 594 inequivalent binary (33,16) doublyβeven selfβorthogonal codes that have no allβzero coordinates along with their automorphism groups. It is proven that if a (2