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A p-adic algorithm to compute the Hilbert class polynomial

A p-adic algorithm to compute the Hilbert class polynomial

A classical approach of constructing elliptic curves that can be used for cryptographic purposes relies on the theory of complex multiplication. A key ingredient in the algorithm is to compute the Hilbert class polynomial PD for a suitable discriminant D. The polynomial PD has integer coefficients, and is the minimal polynomial of the modular j ...

Microsoft2009年10月31日

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