𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Steiner triple systems of order 19 and 21 with subsystems of order 7

✍ Scribed by Petteri Kaski; Patric R.J. ÖstergÅrd; Svetlana Topalova; Rosen Zlatarski

Book ID
108113705
Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
158 KB
Volume
308
Category
Article
ISSN
0012-365X

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Quasi-embeddings of Steiner triple syste
Quasi-embeddings of Steiner triple systems, or Steiner triple systems of different orders with maximum intersection
✍ Peter Dukes; Eric Mendelsohn 📂 Article 📅 2005 🏛 John Wiley and Sons 🌐 English ⚖ 182 KB

## Abstract In this paper, we present a conjecture that is a common generalization of the Doyen–Wilson Theorem and Lindner and Rosa's intersection theorem for Steiner triple systems. Given __u__, __v__ ≡ 1,3 (mod 6), __u__ < __v__ < 2__u__ +  1, we ask for the minimum __r__ such that there exists a

Steiner triple systems of order 15 and t
Steiner triple systems of order 15 and their codes
✍ Vladimir D. Tonchev; Robert S. Weishaar 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 392 KB

The binary linear codes generated by incidence matrices of the 80 Steiner triple systems on 15 points (STS( )) are studied. The 80 codes of length 35 spanned by incidence vectors of the points are all non-isomorphic. In contrast, a pair of codes of length 15 generated by blocks are isomorphic if and