Abstract
We present a nontrivial extension to Bose's method for the construction of Steiner triple systems, generalizing the traditional use of commutative and idempotent quasigroups to employ a new algebraic structure called a 3-tri algebra. Links between Steiner triple systems and 2-(υ, 3, 3) designs via 3-tri algebras are also explored.
Original language | English (US) |
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Pages (from-to) | 97-107 |
Number of pages | 11 |
Journal | Discrete Mathematics |
Volume | 237 |
Issue number | 1-3 |
DOIs | |
State | Published - Jun 28 2001 |
Externally published | Yes |
Keywords
- Bose construction
- Latin square
- Quasigroup
- Skolem construction
- Steiner triple system
- Triangulation
ASJC Scopus subject areas
- Theoretical Computer Science
- Discrete Mathematics and Combinatorics