𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A Number Theoretic Conjecture and the Existence of S–Cyclic Steiner Quadruple Systems

✍ Scribed by Helmut Siemon


Book ID
110261479
Publisher
Springer
Year
1998
Tongue
English
Weight
208 KB
Volume
13
Category
Article
ISSN
0925-1022

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


On the existence of cyclic Steiner Quadr
✍ Helmut Siemon 📂 Article 📅 1991 🏛 Elsevier Science 🌐 English ⚖ 579 KB

Siemon, H., On the existence of cyclic Steiner Quadruple Systems SQS(2p), Discrete Mathematics 97 (1991) 377-385. Subsequent to Kohler's result in [l], Satz 8, we show that strictly cyclic SQS(2p), p prime number and p = 53, 77 ( 120) exist if a certain number theoretic claim can be proved. We verif

A formula for the number of Steiner quad
✍ Vladimir D. Tonchev 📂 Article 📅 2003 🏛 John Wiley and Sons 🌐 English ⚖ 133 KB 👁 1 views

## Abstract Assmus [1] gave a description of the binary code spanned by the blocks of a Steiner triple or quadruple system according to the 2‐rank of the incidence matrix. Using this description, the author [13] found a formula for the total number of distinct Steiner triple systems on 2^__n__^−1 p

A lower bound on the number of Semi-Bool
✍ Marco Buratti; Alberto Del Fra 📂 Article 📅 2003 🏛 John Wiley and Sons 🌐 English ⚖ 135 KB 👁 1 views

## Abstract A Steiner quadruple system of order 2^__n__^ is __Semi‐Boolean__ (SBQS(2^__n__^) in short) if all its derived triple systems are isomorphic to the point‐line design associated with the projective geometry __PG__(__n__−1, 2). We prove by means of explicit constructions that for any __n__