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Revisiting the Complex Multiplication Method for the Construction of Elliptic Curves

In: Computation, Cryptography, and Network Security

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  • Elisavet Konstantinou

    (University of the Aegean, Department of Information and Communication Systems Engineering)

  • Aristides Kontogeorgis

    (University of Athens, Department of Mathematics)

Abstract

In this article we give a detailed overview of the Complex Multiplication (CM) method for constructing elliptic curves with a given number of points. In the core of this method, there is a special polynomial called Hilbert class polynomial which is constructed with input a fundamental discriminantd

Suggested Citation

  • Elisavet Konstantinou & Aristides Kontogeorgis, 2015. "Revisiting the Complex Multiplication Method for the Construction of Elliptic Curves," Springer Books, in: Nicholas J. Daras & Michael Th. Rassias (ed.), Computation, Cryptography, and Network Security, pages 299-318, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-18275-9_12
    DOI: 10.1007/978-3-319-18275-9_12
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