Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5777298 | Electronic Notes in Discrete Mathematics | 2017 | 6 Pages |
Abstract
An (n,r)-arc is a set of n points of a projective plane such that some r, but no r+1 of them, are collinear. The maximum size of an (n,r)-arc in PG(2, q) is denoted by mr(2,q). It follows from [Kohnert A., Arcs in the projective planes, Online tables, www.algorithm.uni-bayreuth.de/en/research/Coding_Theory/PG_arc_table/index.html] and [Daskalov R., and E. Metodieva, New (n,r)-arcs in PG(2, 17), PG(2, 19), and PG(2, 23), Problemi Peredachi Informatsii, 47, no. 3 (2011), 3-9. English translation: Problems of Information Transmission, 47, no. 3, (2011), 217-223] that m3(2,23)â¥36. In this paper we establish that m3(2,23)â¥37.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Rumen Daskalov, Mladen Manev,