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An infinite family of (simple) 6‐designs
Author(s) -
Kreher Donald L.
Publication year - 1993
Publication title -
journal of combinatorial designs
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.618
H-Index - 34
eISSN - 1520-6610
pISSN - 1063-8539
DOI - 10.1002/jcd.3180010403
Subject(s) - simple (philosophy) , mathematics , generalization , combinatorics , discrete mathematics , arithmetic , mathematical analysis , epistemology , philosophy
A simple 6‐(22,8,60) designs is exhibited. It is then shown using Qui‐rong Wu's generalization of a result of Luc Teirlinck that this design together with our 6‐(14,7,4) design implies the existence of simple 6‐(23 + 16 m ,8,4( m + 1)(16 m + 17)) designs for all positive integers m . All the above mentioned designs are halvings of the complete design. © 1993 John Wiley & Sons, Inc.
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