Tables of sizes of random complete arcs in the plane $PG(2,q)$

Daniele Bartoli; Alexander A. Davydov; Giorgio Faina; Stefano Marcugini; Fernanda Pambianco

Tables of sizes of random complete arcs in the plane $PG(2,q)$

Combinatorics 2014-05-23 v1

Authors: Daniele Bartoli , Alexander A. Davydov , Giorgio Faina , Stefano Marcugini , Fernanda Pambianco

Abstract

Tables of sizes of random complete arcs in the plane $PG(2,q)$ are given. The sizes are close to the smallest known sizes of complete arcs in $PG(2,q)$ , in particular, to ones constructed by Algorithm FOP (fixed order of points). The random arcs are obtained in the region $\{3\leq q\leq 46337,~q \mbox{prime}\}$ .

Keywords

complete arcs projective plane PG(2,q) random arcs arc sizes Algorithm FOP

Cite

@article{arxiv.1405.5862,
  title  = {Tables of sizes of random complete arcs in the plane $PG(2,q)$},
  author = {Daniele Bartoli and Alexander A. Davydov and Giorgio Faina and Stefano Marcugini and Fernanda Pambianco},
  journal= {arXiv preprint arXiv:1405.5862},
  year   = {2014}
}

Comments

37 pages, 5 figures, 1 table, 57 references; Table is attached also as .csv files. To view attachments, please download and extract the gzipped tar source file listed under "Other formats". arXiv admin note: substantial text overlap with arXiv:1404.0469

Tables of sizes of random complete arcs in the plane $PG(2,q)$

Abstract

Keywords

Cite

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