Arcs in \Z²_2p

2015/12/07 by Zofia Stępień, Stępień, Zofia, Lucjan Szymaszkiewicz +1
Mathematics · #Combinatorics (math.CO) #FOS: Mathematics #Finite Group Theory Research #Limits and Structures in Graph Theory #Mathematical Approximation and Integration

paper · pdf · doi:10.48550/arxiv.1512.02175

openalex publication_date 2015/12/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

An arc in \Z²_n is defined to be a set of points no three of which are collinear. We describe some properties of arcs and determine the maximum size of arcs for some small n.

Related

• The number of arcs in \mathbbF_q² of a given cardinality
• Counting arcs in \mathbb F_q²
• Arcs in \mathbb F_q²
• On planar arcs of size (q+3)/2
• Minimal complete arcs in PG(2,q), q<= 32