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About special classes of Steiner systems S(2,4, υ)

✍ Scribed by H. Zeitler

Publisher
Elsevier Science
Year
1991
Tongue
English
Weight
480 KB
Volume
97
Category
Article
ISSN
0012-365X

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✦ Synopsis

Zeitler, H., About special classes of Steiner systems S(2, 4, u), Discrete Mathematics 97 (1991) 399-407. Parallel classes in S(2, 4, v) are investigated for odd Steiner numbers. It is proved that there exist systems S(2, 4, u) with at least one parallel class: (1) for all u = 61 or 49 + 48n, n E f+J,, (2) for all u = 25 or 37 + 48n, n E FU,, up to a finite number of cases. Classical constructions are used.

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