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COMPUTING HILBERT CLASS POLYNOMIALS WITH THE CHINESE REMAINDER THEOREM
space-efficient algorithm CM method elliptic curves
2009/9/27
We present a space-efficient algorithm to compute the Hilbert class
polynomial HD(X) modulo a positive integer P, based on an explicit form of
the Chinese Remainder Theorem. Under the Generalized Ri...
COMPUTING HILBERT CLASS POLYNOMIALS WITH THE CHINESE REMAINDER THEOREM
Computing Hilbert class polynomials Chinese Remainder Theorem
2009/9/22
We present a space-ecient algorithm to compute the Hilbert class
polynomial HD(X) modulo a positive integer P, based on an explicit form of
the Chinese Remainder Theorem. Under the Generalized Riem...
We present and analyze two algorithms for computing the
Hilbert class polynomial HD. The first is a p-adic lifting algorithm for
inert primes p in the order of discriminant D < 0. The second is an i...