6533b7d2fe1ef96bd125e226
RESEARCH PRODUCT
On 2-(n^2,2n,2n-1) designs with three intersection numbers
Andrea CaggegiGiovanni Falconesubject
Discrete mathematicsApplied Mathematics2-designsOrder (ring theory)ParallelComputer Science ApplicationsCombinatoricsIntegerIntersectionIncidence structureSimple (abstract algebra)Affine plane (incidence geometry)Settore MAT/03 - GeometriaMathematicsdescription
The simple incidence structure $${\mathcal{D}(\mathcal{A},2)}$$ , formed by the points and the unordered pairs of distinct parallel lines of a finite affine plane $${\mathcal{A}=(\mathcal{P}, \mathcal{L})}$$ of order n > 4, is a 2 --- (n 2,2n,2n---1) design with intersection numbers 0,4,n. In this paper, we show that the converse is true, when n ? 5 is an odd integer.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2007-03-23 |