IJPAM: Volume 96, No. 4 (2014)

A LOWER BOUND ON THE LENGTH
OF BASIC MINIMAL 1-(3$t$+1,3) DESIGNS

Martin Dowd
1613 Wintergreen Pl.
Costa Mesa, CA 92626, USA


Abstract. In a previous paper the author found some minimal 1-($v$,3) designs with large $b$, by exhaustive search. Here some further such are found, by more ad-hoc methods. A construction is given for $v=3t+1$ for $t\geq 2$, where $b$ grows quadratically with $v$.

Received: May 13, 2014

AMS Subject Classification: 05B05

Key Words and Phrases: 1-designs, linear programming

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DOI: 10.12732/ijpam.v96i4.7 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2014
Volume: 96
Issue: 4
Pages: 523 - 528


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