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Extremal self-dual codes from symmetric designs

✍ Scribed by Edward Spence; Vladimir D. Tonchev


Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
227 KB
Volume
110
Category
Article
ISSN
0012-365X

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πŸ“œ SIMILAR VOLUMES


Extremal doubly-even codes of length 64
✍ S.N. Kapralov; V.D. Tonchev πŸ“‚ Article πŸ“… 1990 πŸ› Elsevier Science 🌐 English βš– 331 KB

Any symmetric 2-(31, 10,3) design gives rise to a binary self-dual doubly-even code of length 64, and the code is extremal if and only if the design does not possess any ovals [15]. Codes derived from the known symmetric 2-(31,10,3) designs without ovals and their automorphism groups are investigate

On self-dual doubly-even extremal codes
✍ Helmut Koch πŸ“‚ Article πŸ“… 1990 πŸ› Elsevier Science 🌐 English βš– 488 KB

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

Orthogonal designs, self-dual codes, and
✍ Masaaki Harada; Hadi Kharaghani πŸ“‚ Article πŸ“… 2005 πŸ› John Wiley and Sons 🌐 English βš– 212 KB

## Abstract Symmetric designs and Hadamard matrices are used to construct binary and ternary self‐dual codes. Orthogonal designs are shown to be useful in construction of self‐dual codes over large fields. In this paper, we first introduce a new array of order 12, which is suitable for any set of f

Self-dual codes and the (22,8,4) balance
✍ 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

On the self-dual 5-codes constructed fro
✍ Masaaki Harada πŸ“‚ Article πŸ“… 2005 πŸ› John Wiley and Sons 🌐 English βš– 71 KB πŸ‘ 1 views

## Abstract There are exactly 60 inequivalent Hadamard matrices of order 24. In this note, we give a classification of the self‐dual 𝔽~5~‐codes of length 48 constructed from the Hadamard matrices of order 24. Β© 2004 Wiley Periodicals, Inc.

Erratum to: Self-dual codes and the (22,
✍ R. T. Bilous; G. H. J. van Rees πŸ“‚ Article πŸ“… 2005 πŸ› John Wiley and Sons 🌐 English βš– 35 KB

## Abstract The original article to which this Erratum refers was published in Journal of Combinatorial Designs 13: 363–376, 2005. No Abstract.