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Four methods for constructing anti-Pasch Steiner triple systems are developed. The first generalises a construction of Stinson and Wei to obtain a general singular direct product construction. The second generalises the Bose construction. The third employs a construction due to Lu. The fourth employs Wilson-type inflation techniques using Latin squares having no subsquares of order two. As a consequence of these constructions we are able to produce anti-Pasch systems of order for or (mod 18), for (mod 72), and for many other values of .
|Item Type:||Journal Article|
|Academic Unit/Department:||Mathematics, Computing and Technology > Mathematics and Statistics|
|Depositing User:||Mike Grannell|
|Date Deposited:||18 Aug 2010 13:31|
|Last Modified:||02 Dec 2010 21:02|
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