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Construction of (n,r)-arcs in PG(2,q)

Construction of (n,r)-arcs in PG(2,q)

We construct new (n, r)-arcs in P G(2, q) by prescribing a group of automorphisms and solving the resulting Diophantine linear system with lattice point enumeration.We can improve the known lower bounds for q = 11, 13, 16, 17, 19 and give the first example of a double blocking set …