Let K be a blocking set of smallest cardinality in PG(2,7). From well-known results it follows that |K|>=12. In papers by Cameron P.J., Di Paola J.W., Hirschfeld J.W.P. two non isomorphic examples of blocking 12-sets in the projective plane of order seven have been found. In this paper we prove that the above examples are the only blocking sets of smallest cardinality in PG(2,7).

On blocking sets of smallest cardinality in the projective plane of order seven

INNAMORATI, STEFANO;
1991-01-01

Abstract

Let K be a blocking set of smallest cardinality in PG(2,7). From well-known results it follows that |K|>=12. In papers by Cameron P.J., Di Paola J.W., Hirschfeld J.W.P. two non isomorphic examples of blocking 12-sets in the projective plane of order seven have been found. In this paper we prove that the above examples are the only blocking sets of smallest cardinality in PG(2,7).
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11697/43733
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