Maximal arcs in desarguesian planes of odd order do not exist

Combinatorica

Volumn 17, Issue 1, 1997, Pages 31-41

  Ball, Simeon ^a   Blokhuis, Aart ^a   Mazzocca, Francesco ^b  

^a EINDHOVEN UNIVERSITY OF TECHNOLOGY   (Netherlands)

^b SECOND UNIVERSITY OF NAPLES   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031461351     PISSN: 02099683     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF01196129     Document Type: Article

References (8)

1. A. COSSU: Su alcune proprietà dei {k;n}-archi di un piano proiettivo sopra un corpo finito, Rend. Mat. e Appl., 20 (1961), 271-277.
2. R. H. F. DENNISTON: Some maximal arcs in finite projective planes, J. Combin. Theory, 6 (1969), 317-319.
3. T. PENTTILA AND G. F. ROYLE: Sets of Type (m,n) in the Affine and Projective Planes of Order Nine, Designs, Codes and Cryptography, 6 (1995), 229-245.
4. L. RÉDEI: Lückenhafte Polynome über endlichen Körpern, Birkhäuser Verlag, Basel (1970) (English translation: Lacunary polynomials over finite fields, North Holland, Amsterdam, 1973).
5. L. RÉDEI: Lückenhafte Polynome über endlichen Körpern, Birkhäuser Verlag, Basel (1970) (English translation: Lacunary polynomials over finite fields, North Holland, Amsterdam, 1973).
6. J. A. THAS: Construction of maximal arcs and partial geometries, Geom. Dedicata, 3 (1974), 61-64.
7. J. A. THAS: Some results concerning {(9+1)(n-1);n}-arcs and {(q+1)(n-1) + 1;n}-arcs in finite projective planes of order q, J. Combin. Theory Ser. A, 19 (1975), 228-232.
8. J. A. THAS: Construction of maximal arcs and dual ovals in translation planes, Europ. J. Combinatorics, 1 (1980), 189-192.