✦ LIBER ✦

A Note on Partial Parallel Classes in Steiner Systems

✍ Scribed by C.C. Lindner; K.T. Phelps

Publisher: Elsevier Science
Year: 1978
Tongue: English
Weight: 293 KB
Volume: 24
Category: Article
ISSN: 0012-365X
DOI: 10.1016/0012-365x(78)90179-6

No coin nor oath required. For personal study only.

✦ Synopsis

A partial parallel class of blocks of a Steiner system Sir. k. VI i\ a collection of pairs iw disjoint blocks. The purpose of thk note is to show that any S(k. k + 1. 17 I Steiner c.\rem. LVI~~J ua k"+3k3+ k2+ 1, h as a partial parallel class containing at least i L' -k + I r/(k -+ 21 bicd~.

1. Introdnctfon

An S(k, k + 1, u) Steiner system is a pair (S, 77 where S is a finite set of size I!

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