Classification of Steiner quadruple systems of order 16 and rank at most 131

Classification of Steiner quadruple systems of order 16 and rank at most 131 A Steiner quadruple system SQS(v) of order v is a 3-design T (v, 4, 3, λ) with λ = 1. In this paper we describe all nonisomorphic systems SQS(16) that can be obtained by the generalized concatenated construction (GC-construction). These Steiner systems have rank at most 13 over $$ \mathbb{F} $$ 2. In particular, there is one system SQS(16) of rank 11 (points and planes of the a fine geometry AG(4, 2)), fifteen systems of rank 12, and 4131 systems of rank 13. All these Steiner systems are resolvable. Problems of Information Transmission Springer Journals

Classification of Steiner quadruple systems of order 16 and rank at most 131

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Copyright © 2004 by MAIK “Nauka/Interperiodica”
Engineering; Communications Engineering, Networks; Electrical Engineering; Information Storage and Retrieval; Systems Theory, Control
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