A symmetric 2-(160, 54, 18) design
β Scribed by Edward Spence; Vladimir D. Tonchev; Tran van Trung
- Publisher
- John Wiley and Sons
- Year
- 1993
- Tongue
- English
- Weight
- 154 KB
- Volume
- 1
- Category
- Article
- ISSN
- 1063-8539
No coin nor oath required. For personal study only.
β¦ Synopsis
We give a construction for a symmetric 2-(160,54,18) design that effectively uses the incidence matrix of the design of the hyperplanes in PG(3,3) as a tactical decomposition. This is the first design ever found with these parameters. 0 1 9 9 3 John Wiley & Sons, Inc.
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## Abstract Huffman and Tonchev discovered four nonβisomorphic quasiβsymmetric 2β(49,9,6) designs. They arise from extremal selfβdual [50,25,10] codes with a certain weight enumerator. In this note, a new quasiβsymmetric 2β(49,9,6) design is constructed. This is established by finding a new extrema
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