David Glynn
B.Sc., B.Sc. (Hons), Ph.D. (University of Adelaide, South Australia)
Thesis: Finite Projective Planes and Related Combinatorial Systems
Supervisors: L.R.A. (Rey) Casse
Thesis: Finite Projective Planes and Related Combinatorial Systems
Supervisors: L.R.A. (Rey) Casse
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Segre discovered the oval polynomials x^(2^k) where (k,h)=1 and x^6 where (h,2)=1.
These new "Glynn" hyperovals were also "monomial" hyper ovals with the polynomial being a single power of x. They were discovered by computer search up to about h=28 and each one took a month of serious hand calculation to rigorously prove. These four monomial hyperoval sequences are still the only known ones.
Segre discovered the oval polynomials x^(2^k) where (k,h)=1 and x^6 where (h,2)=1.
These new "Glynn" hyperovals were also "monomial" hyper ovals with the polynomial being a single power of x. They were discovered by computer search up to about h=28 and each one took a month of serious hand calculation to rigorously prove. These four monomial hyperoval sequences are still the only known ones.