On the (15,5,\(\lambda\) )-family of BIBDs
type: Item
instance of: scholarly article
title: On the (15,5,\(\lambda\) )-family of BIBDs
zbMATH Open document ID: 0683.05006
DOI: 10.1016/0012-365X(89)90361-0
published in: Discrete Mathematics
publication date: 1989-01-01T00:00:00Z
review text: The authors enumerate completely the 1-rotational (15,5,4)-BIBDs and two subclasses of cyclic, and 1-rotational (15,5,6)-designs, respectively, as well as the resolvable (15,5,6)-BIBDs with an automorphism of order 5. The lower bounds for the number of nonisomorphic designs are substantially improved.
Mathematics Subject Classification ID: 05B05
Mathematics Subject Classification ID: 20B25
zbMATH DE Number: 4118379
zbMATH Keywords: (15,5,lambda)-balanced incomplete block designs
zbMATH Keywords: BIBDs
zbMATH Keywords: lower bounds
zbMATH Keywords: number of nonisomorphic designs
author: Rudolf Mathon
author: Alexander Rosa
reviewed by: Nikolai L. Manev
MaRDI profile type: Publication
cites work: Q3686719
cites work: Q3863891
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cites work: The Existence and Construction of Balanced Incomplete Block Designs
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cites work: On Linked Arrays of Pairs
cites work: Q3701436
cites work: Isomorphism problem for relational structures with a cyclic automorphism
cites work: On generalized quasi-residual designs
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description: scientific article; zbMATH DE number 4118379