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 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
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📜 SIMILAR VOLUMES
## 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
## 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__