A simple sufficient condition for embedding of a quasiresidual balanced incomplete block design into the corresponding symmetric balanced incomplete block design is obtained.
On the uniqueness of embedding a residual design
β Scribed by Graham Kelly
- Book ID
- 107748406
- Publisher
- Elsevier Science
- Year
- 1982
- Tongue
- English
- Weight
- 899 KB
- Volume
- 39
- Category
- Article
- ISSN
- 0012-365X
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π SIMILAR VOLUMES
Let % be a class of subsets of a finite set X. Elements of $!I are called blocks. Let u, t, A and k be nonnegative integers such thar u B k 3 t 3 0. A pair (X, '%?l) is called a (u, k, A) t-design, denoted by S,(t, k, u), if (1) 1x1 = u, (2) every t-subset of X is contained in exactly A blocks and (
Suppose that q 2 2 is a prime power. We show that a linear space with a( q + 1)' + ( q + 1) points, where a 1 0.763, can be embedded in at most one way in a desarguesian projective plane of order q. 0 1995 John Wiley & Sons, he. ## 1. Introduction A linear space consists of points and lines such t