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Constructions for large sets of -intersecting Steiner triple systems of order.
- Source :
-
Discrete Mathematics . Oct2013, Vol. 313 Issue 20, p2094-2103. 10p. - Publication Year :
- 2013
-
Abstract
- Abstract: Franek et al. recently described four constructions for large sets of -intersecting Steiner triple systems of order (STS ) [F. Franek, M.J. Grannell, T.S. Griggs, A. Rosa, On the large sets of -intersecting Steiner triple systems of order , Des. Codes Cryptogr. 26 (2002) 243–256]. In this study we focus on large sets of -intersecting STS . Some recursive constructions are presented that involve three-wise balanced designs. By applying these constructions we obtain some new infinite classes of such large sets, and the large sets of -intersecting KTS are used to produce some new large sets of Kirkman triple systems. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 0012365X
- Volume :
- 313
- Issue :
- 20
- Database :
- Academic Search Index
- Journal :
- Discrete Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 89607182
- Full Text :
- https://doi.org/10.1016/j.disc.2013.04.029