论文信息 - On 1-Blocking Sets in PG(n,q), n ≥ 3

On 1-Blocking Sets in PG(n,q), n ≥ 3

In this article we study minimal1-blocking sets in finite projective spaces PG(n,q),n ≥ 3. We prove that in PG(n,q2),q = ph, p prime, p > 3,h ≥ 1, the second smallest minimal 1-blockingsets are the second smallest minimal blocking sets, w.r.t.lines, in a plane of PG(n,q2). We also study minimal1-blocking sets in PG(n,q3), n ≥ 3, q = ph, p prime, p > 3,q ≠ 5, and prove that the minimal 1-blockingsets of cardinality at most q3 + q2 + q + 1 are eithera minimal blocking set in a plane or a subgeometry PG(3,q).

Leo Storme | Zsuzsa Weiner | L. Storme | Zsuzsa Weiner

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