Using the elements of a partial spread of PG(d, q) as points, a class of 3-designs is constructed. 9) is a 3-(qr+' + 1, q + 1, 0,) design. Corollary 3. If Sp is a (total) t-spread of P = PG(2t + 1, q), then D(
Constructions from dots and lines
β Scribed by Marko A. Rodriguez; Peter Neubauer
- Book ID
- 102774489
- Publisher
- American Society for Information Science and Technology
- Year
- 2010
- Tongue
- English
- Weight
- 984 KB
- Volume
- 36
- Category
- Article
- ISSN
- 0095-4403
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Using lines and half lines in a two-dimensional vector space over G F(q), we generalize the constructions of difference families of Xia and Liu which are important for the construction of Williamson-type matrices. Also based on this geometric point of view, we give new and simpler proofs for these c
## Abstract We construct an incidence structure using certain points and lines in finite projective spaces. The structural properties of the associated bipartite incidence graphs are analyzed. These __n__ Γ __n__ bipartite graphs provide constructions of __C__~6~βfree graphs with Ξ©(__n__^4/3^ edges