{ "id": "1405.5862", "version": "v1", "published": "2014-05-22T19:14:47.000Z", "updated": "2014-05-22T19:14:47.000Z", "title": "Tables of sizes of random complete arcs in the plane $PG(2,q)$", "authors": [ "Daniele Bartoli", "Alexander A. Davydov", "Giorgio Faina", "Stefano Marcugini", "Fernanda Pambianco" ], "comment": "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", "categories": [ "math.CO" ], "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 $\\{3\\leq q\\leq 46337,~q \\mbox{prime}\\}$.", "revisions": [ { "version": "v1", "updated": "2014-05-22T19:14:47.000Z" } ], "analyses": { "subjects": [ "51E21", "51E22", "94B05" ], "keywords": [ "random complete arcs", "algorithm fop", "random arcs", "fixed order" ], "note": { "typesetting": "TeX", "pages": 37, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2014arXiv1405.5862B" } } }