Minimal blocking sets of size q2+2 of Q(4,q), q an odd prime, do not exist
- De Beule, J.
- Metsch, K.
DOIAbstract
AbstractIt is known that every blocking set of Q(4,q), q>2 even, with less than q2+1+q points contains an ovoid, and hence Q(4,q) has no minimal blocking set B with q2+1<|B|<q2+1+q. In contrast to this, it is even not known whether or not Q(4,q), q odd, has minimal blocking sets of size q2+2. In this paper, the non-existence of a minimal blocking set of size q2+2 of Q(4,q), q an odd prime, is shown. Strong geometrical information is obtained using an algebraic description of W(3,q). Geometrical and combinatorial arguments complete the proof
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