论文信息 - Hyperovals in PG(2, 16) - 字舞流文

Hyperovals in PG(2, 16)

It is shown that every hyperoval in PG(2, 16) is either regular or is a Lunelli-Sce hyperoval. This result was first found by Hall in 1975 with the aid of a computer.

Tim Penttila | Christine M. O'Keefe

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

[2] C. Sims. Computational methods in the study of permutation groups , 1970 .

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

[4] Stanley E. Payne,et al. An Unusual Generalized Quadrangle of Order Sixteen , 1978, J. Comb. Theory, Ser. A.

[5] Marshall HallJr.,et al. Ovals in the Desarguesian plane of order 16 , 1975 .

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

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