✦ LIBER ✦

New spherical 4-designs

✍ Scribed by R.H. Hardin; N.J.A. Sloane

Publisher: Elsevier Science
Year: 1992
Tongue: English
Weight: 596 KB
Volume: 106-107
Category: Article
ISSN: 0012-365X
DOI: 10.1016/0012-365x(92)90552-q

No coin nor oath required. For personal study only.

✦ Synopsis

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>29fork=5;n=27,36, ~39fork=6;n~53fork=7;andn~69 for k = 8.

📜 SIMILAR VOLUMES

On tight spherical designs

✍ Eiichi Bannai 📂 Article 📅 1979 🏛 Elsevier Science 🌐 English ⚖ 513 KB

On some spherical t-designs

✍ Eiichi Bannai 📂 Article 📅 1979 🏛 Elsevier Science 🌐 English ⚖ 279 KB

Two new families of 4-designs

✍ X. Hubaut 📂 Article 📅 1974 🏛 Elsevier Science 🌐 English ⚖ 262 KB

Computing distance distributions of sphe

Computing distance distributions of spherical designs

✍ Peter Boyvalenkov 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 564 KB

Some New 6-(14, 7, 4) Designs

✍ Z. Eslami; G.B. Khosrovshahi 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 126 KB

In this paper, we employ trades to produce some new 6-(14, 7, 4) designs with three automorphisms.

New spherical PET design with fresnel ap

New spherical PET design with fresnel aperture orientation

✍ Z. H. Cho; Y. S. Kim; S. K. Hilal; Y. H. Kim 📂 Article 📅 1989 🏛 John Wiley and Sons 🌐 English ⚖ 727 KB

A new spherical PET using Fresnel aperture is being designed, and construction is in progress. In the new design, the original spherical geometry is modified to accommodate a more flexible gantry construction and data processing while preserving the focused geometry of the original design. The perfo