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Some new BIBDs with block size 7

✍ Scribed by R. Julian R. Abel

Publisher: John Wiley and Sons
Year: 2000
Tongue: English
Weight: 83 KB
Volume: 8
Category: Article
ISSN: 1063-8539
DOI: 10.1002/(sici)1520-6610(2000)8:2<146::aid-jcd7>3.0.co;2-h

No coin nor oath required. For personal study only.

✦ Synopsis

For k ! 3 the existence problem forvY 7Y k BIBDs has been completely solved, except when v 253. In this paper, 3 new direct vY 7Y k BIBD constructions are given for vY k 259Y 1Y 106Y 2Y and 253Y 2. Some features of the known 175Y 7Y 1 BIBD are also discussed. Finally, a few vY 7Y 1 BIBDs are obtained recursively.

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