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Direct constructions of large sets of Kirkman triple systems.
- Source :
- Designs, Codes & Cryptography; Apr2017, Vol. 83 Issue 1, p23-32, 10p
- Publication Year :
- 2017
-
Abstract
- Research on the existence of large sets of Kirkman triple systems (LKTS) extends from the mid-eighteen hundreds to the present. In this paper we review known direct approaches of constructing LKTS and present new ideas of direct constructions. We finally prove the existence of an LKTS( v) where $$v \in \{69,141,165,213,285,309,333\}$$ . Combining recursive constructions yields several new infinite classes. [ABSTRACT FROM AUTHOR]
- Subjects :
- STEINER systems
BLOCK designs
RECURSIVE functions
SET theory
GENERALIZATION
Subjects
Details
- Language :
- English
- ISSN :
- 09251022
- Volume :
- 83
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- Designs, Codes & Cryptography
- Publication Type :
- Academic Journal
- Accession number :
- 121442795
- Full Text :
- https://doi.org/10.1007/s10623-016-0197-4