A new family of 4-designs
✍ Scribed by Jürgen Bierbrauer
- Book ID
- 105310553
- Publisher
- Springer Japan
- Year
- 1995
- Tongue
- English
- Weight
- 140 KB
- Volume
- 11
- Category
- Article
- ISSN
- 0911-0119
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📜 SIMILAR VOLUMES
We construct a family of simple 4-designs with parameters 4-(2:+ 1,9, 84), (f, 6)= 1, f>~5.
This paper gives a number of new spherical 4-designs, and presents numerical evidence that spherical 4-designs containing n points in k-dimensional space with k G 8 exist precisely for the following values of n and k: n even and 22 for k = 1; n 2 5 for k = 2; n = 12, 14, >I6 for k=3;n~2Ofork=4;n>29f
An embedding theorem for certain quasi-residual designs is proved and is used to construct a series of symmetric designs with v = (1 + 16 + ... + 16")9 + 16 "+~, k =(1 + 16 + ... + 16m)9, and 2 = (1 + 16 + ... + 16m-~)9 + 16".3, for a non-negative integer m.