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Title:
Class Invariants by the CRT Method
Authors: Andreas Enge, Andrew V. Sutherland
Abstract:We adapt the CRT approach to computing Hilbert class polynomials to handle a wide range of class invariants. For suitable discriminants D, this improves its performance by a large constant factor, more than 200 in the most favourable circumstances. This has enabled record-breaking constructions of elliptic curves via the CM method, including examples with |D| > 10^{15}.
ePrint: https://eprint.iacr.org/2010/031
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