On quasi-symmetric 2-(28, 12, 11) and 2-(36, 16, 12) designs
type: Item
instance of: scholarly article
title: On quasi-symmetric 2-(28, 12, 11) and 2-(36, 16, 12) designs
zbMATH Open document ID: 0814.05011
DOI: 10.1007/BF01388503
author: L. H. Thiel
author: Clement Lam
author: Vladimir D. Tonchev
published in: Designs, Codes and Cryptography
publication date: 1995-03-19T00:00:00Z
review text: The authors construct 21 non-isomorphic quasi-symmetric 2-\((28,12,11)\) designs, 18 of which do not have the symmetric difference property (which says that the symmetric difference of any two blocks is either a block or the complement of a block). These are the first examples of non-SDP quasi-symmetric designs of derived type. They also obtain 28 non- isomorphic non-SDP quasi-symmetric 2-\((36,16,12)\) designs.
Mathematics Subject Classification ID: 05B05
zbMATH DE Number: 722117
zbMATH Keywords: symmetric difference
zbMATH Keywords: quasi-symmetric designs
reviewed by: Dieter Jungnickel
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 722117