Constructions of dihedral Steiner quadruple systems
نویسندگان
چکیده
منابع مشابه
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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A Steiner quadruple system of order v, denoted by SQS(v), is a pair (V, B), where V is a finite set of v points, and B is a collection of 4-subsets of V , called blocks or quadruples, such that each 3-subset (triple) of V is contained in exactly one block in B. An automorphism group of SQS(v) is a permutation group on V leaving B invariant. An SQS(v) is said to be cyclic if it admits an automor...
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ژورنال
عنوان ژورنال: Discrete Mathematics
سال: 2017
ISSN: 0012-365X
DOI: 10.1016/j.disc.2016.09.012