𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The existence of simple 6-(14, 7, 4) designs

✍ Scribed by Donald L Kreher; Stanislaw P Radziszowski

Publisher
Elsevier Science
Year
1986
Tongue
English
Weight
388 KB
Volume
43
Category
Article
ISSN
0097-3165

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Some New 6-(14, 7, 4) Designs
Some New 6-(14, 7, 4) Designs
✍ Z. Eslami; G.B. Khosrovshahi πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 126 KB

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

Classification of 6-(14,7,4) designs wit
Classification of 6-(14,7,4) designs with nontrivial automorphism groups
✍ G. B. Khosrovshahi; M. Mohammad-Noori; B. Tayfeh-Rezaie πŸ“‚ Article πŸ“… 2002 πŸ› John Wiley and Sons 🌐 English βš– 103 KB

## Abstract In this paper, we introduce some intersection matrices for __t__‐designs. Utilizing these matrices together with a modified version of a backtracking algorithm, we classify all 6‐(14,7,4) and 5‐(13,6,4) designs with nontrivial automorphism groups and obtain 13 and 21 such designs, respe

On the existence of resolvable K4 βˆ’ e de
On the existence of resolvable K4 βˆ’ e designs
✍ Gennian Ge; Alan C. H. Ling πŸ“‚ Article πŸ“… 2007 πŸ› John Wiley and Sons 🌐 English βš– 115 KB πŸ‘ 1 views

## Abstract In this article, we settle a problem which originated in 4 regarding the existence of resolvable (__K__~4~β€‰βˆ’β€‰__e__)‐design. We solve the problem with two possible exceptions. Β© 2007 Wiley Periodicals, Inc. J Combin Designs 15: 502–510, 2007

The existence of simple S3(3, 4, v)
The existence of simple S3(3, 4, v)
✍ K. Phelps; D.R. Stinson; S.A. Vanstone πŸ“‚ Article πŸ“… 1989 πŸ› Elsevier Science 🌐 English βš– 214 KB

It has been known for some time that an Ss(3, 4, v) exists iff v is even. The constructions which prove this result, in general, give designs having repeated blocks. Recently, it was shown that a simple Ss(3, 4, v) exists if v is even and v 3.4 (mod 12). In this paper we give an elementary proof of