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doi:10.1016/S0012-365X(02)00480-6 
Copyright © 2002 Elsevier Science B.V. All rights reserved.
Constructions for Steiner quadruple systems with a spanning block design
L. Ji and L. Zhu
, 
, 1
Received 2 April 2001;
accepted 30 September 2001. ;
Available online 24 December 2002.
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Abstract
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 infinite classes of orders are also obtained.
Author Keywords: Steiner quadruple system; Spanning block design; t-wise balanced design
1 Research supported by NSFC Grant 19831050.
