Existence of Steiner quadruple systems with a spanning block design

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Constructions for Steiner quadruple systems with a spanning block design

A singular direct product construction is presented for Steiner quadruple systems with a spanning block design. More constructions are also provided using Steiner systems S(3; k; v) and other designs. Small orders for v = 40 and 52 are constructed directly. Some in1nite classes of orders are also obtained. c © 2002 Elsevier Science B.V. All rights reserved.

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ژورنال

عنوان ژورنال: Discrete Mathematics

سال: 2012

ISSN: 0012-365X

DOI: 10.1016/j.disc.2011.10.016