✦ LIBER ✦
Non t-intersecting families of linear spaces over GF(q)
✍ Scribed by Hanno Lefmann
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 511 KB
- Volume
- 89
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
✦ Synopsis
Let n, s, t be nonnegative integers with s L t < n and let V be an n-dimensional linear space over some finite field GF(q).
Let 4 be a family of linear subspaces of V, which satisfies dim(F fl F') ~~t for all F, F' E 9. In this paper it is shown for n 291 that ifn+t-1 mod2, ifn+t=Omod2.
Moreover, all extremal families 9 are characterized. This yields a q-analog of a result of Frank1 and Ftiredi (1984), who proved a corresponding result for finite sets.~~