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Generalized H-codes and doubly even self-dual binary codes

✍ 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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πŸ“œ SIMILAR VOLUMES


A class of doubly even self dual binary
✍ Jacques Wolfmann πŸ“‚ Article πŸ“… 1985 πŸ› Elsevier Science 🌐 English βš– 268 KB

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.)

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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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✍ J Wolfmann πŸ“‚ Article πŸ“… 1987 πŸ› Elsevier Science 🌐 English βš– 504 KB

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.

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✍ R. T. Bilous; G. H. J. van Rees πŸ“‚ Article πŸ“… 2005 πŸ› John Wiley and Sons 🌐 English βš– 142 KB

## Abstract An Erratum has been published for this article in Journal of Combinatorial Designs 14: 83–83, 2006. We enumerate a list of 594 inequivalent binary (33,16) doubly‐even self‐orthogonal codes that have no all‐zero coordinates along with their automorphism groups. It is proven that if a (2