Small quasimultiple affine and projective planes: Some improved bounds
โ Scribed by Marco Buratti
- Book ID
- 118280490
- Publisher
- John Wiley and Sons
- Year
- 1998
- Tongue
- English
- Weight
- 475 KB
- Volume
- 6
- Category
- Article
- ISSN
- 1063-8539
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๐ SIMILAR VOLUMES
Denote by a(n) and p(n), respectively, the smallest positive integers ,I and p for which an &(2, n, n') and an S,,(2, n + 1, n2 + n + 1) exist. We thus consider the problem of the existence of (nontrivial) quasimultiples of atline and projective planes of arbitrary order n. The best previously known
## Abstract The functions __a(n)__ and __p(n)__ are defined to be the smallest integer ฮป for which ฮปโfold quasimultiples affine and projective planes of order __n__ exist. It was shown by Jungnickel [J. Combin. Designs 3 (1995), 427โ432] that __a(n),p(n)__โ<โ__n__^10^ for sufficiently large __n__.