𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On some spherical t-designs

✍ Scribed by Eiichi Bannai


Publisher
Elsevier Science
Year
1979
Tongue
English
Weight
279 KB
Volume
26
Category
Article
ISSN
0097-3165

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


On tight spherical designs
✍ Eiichi Bannai πŸ“‚ Article πŸ“… 1979 πŸ› Elsevier Science 🌐 English βš– 513 KB
Some existence theorems for t-designs
✍ Tran van Trung πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 640 KB

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

On some covering designs
✍ D.T Todorov πŸ“‚ Article πŸ“… 1985 πŸ› Elsevier Science 🌐 English βš– 905 KB
New spherical 4-designs
✍ R.H. Hardin; N.J.A. Sloane πŸ“‚ Article πŸ“… 1992 πŸ› Elsevier Science 🌐 English βš– 596 KB

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

Some results on the existence of large s
✍ G. B. Khosrovshahi; R. Tayfeh-Rezaie πŸ“‚ Article πŸ“… 2003 πŸ› John Wiley and Sons 🌐 English βš– 96 KB πŸ‘ 1 views

## Abstract A set of trivial necessary conditions for the existence of a large set of __t__‐designs, __LS__[N](__t,k,__Ξ½), is $N\big | {{\nu \hskip -3.1 \nu}-i \choose k-i}$ for __i__ = 0,…,__t__. There are two conjectures due to Hartman and Khosrovshahi which state that the trivial necessary condi