On orthogonal resolutions of the classical Steiner quadruple system SQS(16)
نویسندگان
چکیده
منابع مشابه
On orthogonal resolutions of the classical Steiner quadruple system SQS(16)
A Steiner quadruple system SQS(16) is a pair (V,B) where V is a 16-set of objects and B is a collection of 4-subsets of V , called blocks, so that every 3-subset of V is contained in exactly one block. By classical is meant the boolean quadruple system, also known as the affine geometry AG(4,2). A parallel class is a collection of four blocks which partition V . The system possesses a resolutio...
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15 صفحه اولThe existence of resolvable Steiner quadruple systems
A Steiner quadruple system of order v is a set X of cardinality v, and a set Q, of 4-subsets of X, called blocks, with the property that every 3-subset of X is contained in a unique block. A Steiner quadruple system is resolvable if Q can be partitioned into parallel classes (partitions of X). A necessary condition for the existence of a resolvable Steiner quadruple system is that v = 4 or 8 (m...
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ژورنال
عنوان ژورنال: Designs, Codes and Cryptography
سال: 2008
ISSN: 0925-1022,1573-7586
DOI: 10.1007/s10623-008-9207-5