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Simple 7-designs with small parameters

โœ Scribed by Anton Betten; Reinhard Laue; Alfred Wassermann

Publisher
John Wiley and Sons
Year
1999
Tongue
English
Weight
449 KB
Volume
7
Category
Article
ISSN
1063-8539

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โœฆ Synopsis

We describe a computer search for the construction of simple designs with prescribed automorphism groups. Using our program package DISCRETA this search yields designs with parameter sets 7-(33, 8, 10), 7-(27, 9, 60), 7-(26, 9, ฮป) for ฮป = 54, 63, 81, 7-(26, 8, 6), 7-(25, 9, ฮป) for ฮป = 45, 54, 72, 7-(24, 9, ฮป) for ฮป = 40, 48, 64, 7-(24, 8, ฮป) for ฮป = 4, 5, 6, 7, 8, 6-(25, 8, ฮป) for ฮป = 36, 45, 54, 63, 72, 81, 6-(24, 8, ฮป) for ฮป = 36, 45, 54, 63, 72, 5-(19, 6, 4), and 5-(19, 6, 6). In several of these cases we are able to determine the exact number of isomorphism types of designs with that prescribed automorphism group.

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