Now showing items 1-2 of 2

    • 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 ...
    • Trisection for supersingular genur 2 curves in characteristic 2 

      Miret, Josep M. (Josep Maria); Pujolàs Boix, Jordi; Thériault, Nicolas (American Institute of Mathematical Sciences (AIMS), 2014)
      By reversing reduction in divisor class arithmetic we provide efficient trisection algorithms for Jacobians of supersingular genus 2 curves over finite fields of characteristic 2. With our technique we obtain new results ...