On the minimum size of complete arcs and minimal saturating sets in projective planes |
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| Authors: | Daniele Bartoli Giorgio Faina Stefano Marcugini Fernanda Pambianco |
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| Institution: | 1. Dipartimento di Matematica e Informatica, Università degli Studi di Perugia, Via Vanvitelli 1, Perugia, 06123, Italy
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| Abstract: | The minimum size of a complete arc in the planes PG(2, 31) and PG(2, 32) and of a 1-saturating set in PG(2, 17) and PG(2, 19) is determined. Also, the minimal 1-saturating sets in PG(2, 9) and PG(2, 11) are classified. In addition, the minimal 1-saturating sets of the smallest size in PG(2, q) are classified for 16 ≤ q ≤ 23. These results have been found using a computer-based exhaustive search that exploits projective equivalence properties. |
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