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On planar arcs of size (q+3)∕2.
- Source :
-
Journal of Combinatorial Designs . Sep2021, Vol. 29 Issue 9, p619-628. 10p. - Publication Year :
- 2021
-
Abstract
- The subject of this paper is the study of small complete arcs in PG(2,q), for q odd, with at least (q+1)∕2 points on a conic. We give a short comprehensive proof of the completeness problem left open by Segre in his seminal work. This gives an alternative to Pellegrino's long proof which was obtained in a series of papers in the 1980s. As a corollary of our analysis, we obtain a counterexample to a misconception in the literature. [ABSTRACT FROM AUTHOR]
- Subjects :
- *PROJECTIVE planes
*FINITE geometries
*EVIDENCE
*SIZE
Subjects
Details
- Language :
- English
- ISSN :
- 10638539
- Volume :
- 29
- Issue :
- 9
- Database :
- Academic Search Index
- Journal :
- Journal of Combinatorial Designs
- Publication Type :
- Academic Journal
- Accession number :
- 151366309
- Full Text :
- https://doi.org/10.1002/jcd.21793