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Completeness of cubic curves in PG(2, q), q <= 81

Combinatorics 2015-10-29 v1
Authors: Daniele Bartoli , Stefano Marcugini , Fernanda Pambianco
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Abstract

Theoretical results are known about the completeness of a planar algebraic cubic curve as a (n,3)-arc in PG(2,q). They hold for q big enough and sometimes have restriction on the characteristic and on the value of the j-invariant. We determine the completeness of all cubic curves for q <= 81.

Keywords

cubic curves PG(2,q) completeness (n,3)-arc j-invariant characteristic

Cite

@article{arxiv.1510.08375,
  title  = {Completeness of cubic curves in PG(2, q), q <= 81},
  author = {Daniele Bartoli and Stefano Marcugini and Fernanda Pambianco},
  journal= {arXiv preprint arXiv:1510.08375},
  year   = {2015}
}

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