More maximal arcs in Desarguesian projective planes and their geometric structure

Advances in Geometry

Volumn 3, Issue 3, 2003, Pages 251-261

  Hamilton, Nicholas ^a   Mathon, Rudolf ^b  

^a UNIVERSITY OF QUEENSLAND   (Australia)

^b UNIVERSITY OF TORONTO   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84994814191     PISSN: 1615715X     EISSN: None     Source Type: Journal    
DOI: 10.1515/advg.2003.015     Document Type: Article

References (9)

1. V. Abatangelo, B. Larato, A characterization of Denniston's maximal arcs. Geom. Dedicata 30 (1989), 197–203. MR 90e:51018 Zb1 0674.51007
2. S. Ball, A. Blokhuis, The classification of maximal arcs in small Desarguesian planes. To appear in Bull. Belg. Math. Soc. Simon Stevin.
3. P. Dembowski, Finite geometries. Springer 1968. MR 38 #1597 Zb1 0159.50001
4. R. H. F. Denniston, Some maximal arcs in finite projective planes. J. Combin. Theory Ser. A 6 (1969), 317–319. MR 39 #1345 Zb1 0167.49106
5. N. Hamilton, T. Penttila, A characterisation of Thas maximal arcs in translation planes of square order. J. Geom. 51 (1994), 60–66. MR 95h:51016 Zb1 0815.51009
6. N. Hamilton, T. Penttila, Groups of maximal arcs. J. Combin. Theory Ser. A 94 (2001), 63–86. MR 2001m:51014 Zb1 01618550
7. R. Mathon, New maximal arcs in Desarguesian planes. J. Combin. Theory Ser. A 97 (2002), 353–368. MR 2002k:51012 Zb1 01763788
8. J. A. Thas, Some results concerning {(q + 1) (n - 1);n}-arcs and {(q + 1) (n - 1);n}-arcs in finite projective planes of order q. J. Combin. Theory Ser. A 19 (1975), 228–232. MR 51 #13851 Zb1 0311.50016
9. J. A. Thas, Construction of maximal arcs and dual ovals in translation planes. European J. Combin. 1 (1980), 189–192. MR 82a:05031 Zb1 0449.51011