Genus 2 Curves with Complex Multiplication

    International Mathematics Research Notices, 2010.

    Cited by: 35|Bibtex|Views3|Links
    EI
    Keywords:
    number theorycomplex multiplicationdeformation theory

    Abstract:

    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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