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25th Australasian Conference on Combinatorial Mathematics and Combinatorial Computing
December 4-8, 2000
University of Canterbury
Christchurch, New Zealand

Organizers
Charles Semple, Mike Steel

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A cyclic covering design with block size five on 15 points
by
Michael Morley
Institute of Combinatorics and its Applications

We note there are at least two types of fourfold C(15, 5, 2)-design. One of these is constructed by eliminating the complement of an STS(15) which systematically leads to a cyclic covering design. Some definitions will be called for including a (v, k, t)-covering design. By conjecture we state that a threefold S(4, 5, 15) exists.

Date received: October 25, 2000

Copyright © 2000 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cafn-19.