On some spherical t-designs
β Scribed by Eiichi Bannai
- Publisher
- Elsevier Science
- Year
- 1979
- Tongue
- English
- Weight
- 279 KB
- Volume
- 26
- Category
- Article
- ISSN
- 0097-3165
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π SIMILAR VOLUMES
We generalize some existence theorems for t- (u,k,l) designs. In fact, we prove that if certain inequality holds involving parameters of some simple r-designs, then new simple t-designs can be constructed. Using these results we discover first examples of infinite families of 5-designs in which blo
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
## Abstract A set of trivial necessary conditions for the existence of a large set of __t__βdesigns, __LS__[N](__t,k,__Ξ½), is $N\big | {{\nu \hskip -3.1 \nu}-i \choose k-i}$ for __i__β=β0,β¦,__t__. There are two conjectures due to Hartman and Khosrovshahi which state that the trivial necessary condi