Constructions for Steiner quadruple systems with a spanning block design

Authors:
L. Ji;L. Zhu
Affiliations:
Department of Mathematics, Suzhou University, Suzhou 215006, China;Department of Mathematics, Suzhou University, Suzhou 215006, China
Venue:
Discrete Mathematics - Papers on the occasion of the 65th birthday of Alex Rosa
Year:
2003

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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.