@inproceedings{Gaudry2005ThePC,
title={The P-adic Cm-method for Genus 2},
author={Pierrick Gaudry and T. Houtmann and David Kohel and Christophe Ritzenthaler and And A Weng},
year={2005}
}

We present a nonarchimedian method to construct hyperelliptic CM-curves of genus 2 over finite prime fields. Throughout the document we use the following conventions (this is only for the reference and use of the authors): d degree of the base field of the curve, i.e. C/F 2 d s number of isomorphism classes, in elliptic curve case s = h K n degree of an irreducible component of class invariants K a CM field K 0 the real subfield of K K * the reflex CM field of K K * 0 the real subfield of K * j… CONTINUE READING