Blocks of the unique Steiner system S(5, 8, 24) are called octads octads octads. The group PSL(2, 23) acts as an automorphism group of this Steiner system, permuting octads transitively. Inspired by the discovery of a 5-(24, 10, 36) design by Gulliver and Harada, we enumerate all 4and 5-designs whos
Some simple and automorphism-free 2-(15,5,4) designs
โ Scribed by A. Nowzari-Dalini; R. Torabi; G. B. Khosrovshahi
- Publisher
- John Wiley and Sons
- Year
- 1995
- Tongue
- English
- Weight
- 337 KB
- Volume
- 3
- Category
- Article
- ISSN
- 1063-8539
No coin nor oath required. For personal study only.
โฆ Synopsis
A variation of "trading signed design" algorithm is utilized to produce some 104 simple and automorphism-free 2-(15,5,4) designs. 0 1995 John Wiley & Sons, he.
๐ SIMILAR VOLUMES
All quasi-symmetric 2-(28, 12, 11) designs with an automorphism of order 7 without fixed points or blocks are enumerated. Up to isomorphism, there are exactly 246 such designs. All but four of these designs are embeddable as derived designs in symmetric 2-(64, 28, 12) designs, producing in this way
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## Abstract In this paper, we determine the number of the orbits of 7โsubsets of $X= {\rm GF}(2^n)\cup\{\infty\}$ with a fixed orbit length under the action of PSL(2, 2^__n__^). As a consequence, we determine the distribution of ฮป for which there exists a simple 3โ(2^__n__^โ+โ1, 7, ฮป) design with P