A (k,n)-arc is a set of k points of PG(2,q) for some n, but not n + 1 of them, are collinear. A (k,n)-arc is complete if it is not contained in a (k + 1,n)-arc. In this paper we construct complete (kn,n)-arcs in PG(2,5), n = 2,3,4,5, by geometric method, with the related blocking sets and projective codes.

Receipt date: 12/28/2020 accepted date: 20/1/2021 Publication date: 12/31/2021

 This work is licensed under a Creative Commons Attribution 4.0 International License.

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