Difference Sets and Hyperovals

Designs, Codes, and Cryptography

Volumn 14, Issue 1, 1998, Pages 89-98

  Maschietti, Antonio ^a  

^a SAPIENZA UNIVERSITY OF ROME   (Italy)

Author keywords

Difference set; Hadamard design; Hyperoval

Indexed keywords

EID: 0002830125     PISSN: 09251022     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1008264606494     Document Type: Article

References (14)

1. R. Bacher, Cyclic difference sets with parameters (511,255,127), L'Ens. Math., Vol. 40 (1994) pp. 187-192.
2. L. D. Baumert, Cyclic difference sets, Lecture Notes in Mathematics, Springer, Berlin, 182 (1971).
3. D. G. Glynn, Two new sequences of ovals in Desarguesian planes of even order, Combinatorial Mathematics X (L. R. A. Casse, ed.), Lecture Notes in Mathematics, Springer, Berlin, 14 (1982) pp. 217-229.
4. J. W. P. Hirschfeld, Ovals in a Desarguesian plane of even order, Annali Mat. Pura Appl., Vol. 102 (1975) pp. 79-89.
5. W.-A. Jackson, A characterisation of Hadamard designs with SL(2, q) acting transitively, Geom. Dedicata, Vol. 46 (1993) pp. 197-206.
6. W.-A. Jackson and P.R. Wild, On GMW designs and cyclic Hadamard designs, Designs, Codes and Cryptography, Vol. 10 (1997) pp. 185-191
7. D. Jungnickel, Difference sets, Contemporary design theory. A collection of surveys (J.H. Dinitz and D.R. Stinson, eds), Wiley, New York (1992) pp. 241-324.
8. G. Korchmaros, Old and new results on ovals of finite projective planes, Surveys in Combinatorics 1991 (A.D. Keedwell, ed.), London Math. Soc. Lecture Note Series 166 (1991) pp. 41-72.
9. A. Maschietti, On Hadamard designs associated with a hyperoval, J. Geometry, Vol. 53 (1995) pp. 122-130.
10. T. E. Norwood and Q. Xiang, On GMW designs and a conjecture of Assmus and Key, J. Comb. Theory (A) (to appear).
11. S. E. Payne, A complete determination of translation ovoids in finite desarguesian planes, Atti Accad. Naz. Lincei Rend., Vol. 51 (1971) pp. 328-331.
12. A. Pott, Finite geometry and character theory, Lecture Notes in Mathematics, Springer, Berlin, 1601 (1995).
13. B. Segre, Ovals in a finite projective plane, Canad. J. Math., Vol. 7 (1955) pp. 414-416.
14. B. Segre and U. Bartocci, Ovali ed altre curve nei piani di Galois di caratteristica due, Acta Arith., Vol. 8 (1971) pp. 423-449.