Genus 2 Curves with Complex Multiplication
International Mathematics Research Notices, 2010.
number theorycomplex multiplicationdeformation theory
Genus 2 curves are useful in cryptography for both discrete-log based and pairing-based systems, but a method is required to compute genus 2 curves such that the Jacobian has a given number of points. Currently, all known methods involve constructing genus 2 curves with complex multiplication via computing their three Igusa class polynomi...More
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