Computing Modular Polynomials

نویسندگان

  • Denis Xavier Charles
  • Kristin E. Lauter
چکیده

The l modular polynomial, φl(x, y), parameterizes pairs of elliptic curves with an isogeny of degree l between them. Modular polynomials provide the defining equations for modular curves, and are useful in many different aspects of computational number theory and cryptography. For example, computations with modular polynomials have been used to speed elliptic curve point-counting algorithms ([BSS99] Chapter VII).

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عنوان ژورنال:
  • IACR Cryptology ePrint Archive

دوره 2004  شماره 

صفحات  -

تاریخ انتشار 2004