Listar por autoría "3edb3222-919a-437a-8f5e-a3b4a99566eb"
Mostrando ítems 1-3 de 3
-
On the classification of exceptional planar functions over Fp
Hernando, Fernando; McGuire, Gary; Monserrat, Francisco Springer Netherlands (2014-12)We will present many strong partial results towards a classification of exceptional planar/PN monomial functions on finite fields. The techniques we use are the Weil bound, Bézout’s theorem, and Bertini’s theorem. -
Proof of a conjecture of Segre and Bartocci on monomial hyperovals in projective planes
Hernando, Fernando; McGuire, Gary Springer US (2012-02)The existence of certain monomial hyperovals D(xk) in the finite Desarguesian projective plane PG(2, q), q even, is related to the existence of points on certain projective plane curves gk(x, y, z). Segre showed that some ... -
Quantum codes from a new construction of self-orthogonal algebraic geometry codes
Hernando, Fernando; McGuire, Gary; Monserrat, Francisco; Moyano-Fernández, Julio José Springer (2020)We present new quantum codes with good parameters which are constructed from self-orthogonal algebraic geometry codes. Our method permits a wide class of curves to be used in the formation of these codes. These results ...