2 papers
cs.CR2020
The supersingular isogeny problem in genus 2 and beyond
Craig Costello, Benjamin Smith
Let and be supersingular principally polarized abelian varieties of dimension . For any prime , we give…
cs.CR2017
Montgomery curves and their arithmetic
Craig Costello, Benjamin Smith
Three decades ago, Montgomery introduced a new elliptic curve model for use in Lenstra's ECM factorization algorithm. Since then, his curves and the algorithms associated with them…