Showing items related by title, author, creator and subject.

• The 2-adic valuation of the cardinality of Jacobians of genus 2 curves over quadratic towers of finite fields 

  Garra Oronich, Ricard; Miret, Josep M. (Josep Maria); Pujolàs Boix, Jordi; Thériault, Nicolas (World Scientific Publishing, 2018)

  Given a genus 2 curve C defined over a finite field Fq of odd characteristic such that 2|#Jac(C)(Fq), we study the growth of the 2-adic valuation of the cardinality of the Jacobian over a tower of quadratic extensions of ...

• Halving in some genus 2 curves over binary fields 

  Garra Oronich, Ricard; Miret, Josep M. (Josep Maria); Pujolàs Boix, Jordi (Institute of Electrical and Electronics Engineers (IEEE), 2016-06)

  We give a method to compute the halving of a divisor in the Jacobian variety of a genus 2 curve in characteristic 2. We present explicit halving formulae for each possible divisor class for some curves (those with h (x)= ...

• On the ℓ-adic valuation of the cardinality of elliptic curves over finite extensions of Fq 

  Miret, Josep M. (Josep Maria); Pujolàs Boix, Jordi; Valera Martín, Javier (Springer Verlag, 2015)

  Let E be an elliptic curve defined over a finite field Fq of odd characteristic. Let l≠2 be a prime number different from the characteristic and dividing #E(Fq). We describe how the l-adic valuation of the number of points ...