Explicit endomorphism of the Jacobian of a hyperelliptic function field of genus 2 using base field operations [article]

Eduardo Ruiz Duarte, Octavio Páez Osuna
2014 arXiv   pre-print
We present an efficient endomorphism for the Jacobian of a curve C of genus 2 (hyperelliptic) for divisors having a Non disjoint support. This extends the work of Costello and Lauter in [12] who calculated explicit formulae for divisor doubling and addition of divisors with disjoint support in J(C) using only base field operations. Explicit formulae is presented for this third case and a slightly different approach for divisor doubling.
arXiv:1405.5755v1 fatcat:u5kujjmnqnhspeuo2ekulaelh4