论文信息 - A new hyperoval inPG(2, 32)

A new hyperoval inPG(2, 32)

A new hyperoval is constructed in the Desarguesian projective planePG(2, 32). It has a full collineation stabiliser of order 3. It is also shown, with the aid of a computer, that the collineation stabiliser of any further new hyperoval is either trivial or has order 2 with the generator fixing no point on the hyperoval.

Tim Penttila | Christine M. O'Keefe | Tim Penttila | C. O'Keefe

[1] A condition for the existence of ovals in PG(2, q), q even , 1989 .

[2] J. Hirschfeld. Projective Geometries Over Finite Fields , 1980 .

[3] William Cherowitzo. Hyperovals in Desarguesian Planes of Even Order , 1988 .

[4] Christine M. O'Keefe. Ovals in Desarguesian planes , 1990, Australas. J Comb..

[5] Beniamino Segre,et al. Ovali ed altre curve nei piani di Galois di caratteristica due , 1971 .

[6] Polynomials for hyperovals of Desarguesian planes , 1991 .

[7] David G. Glynn,et al. Two new sequences of ovals in finite desarguesian planes of even order , 1983 .