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Abstract: Aimed at computer scientists, this how to describes a method (with detailed algorithms) that allows to compute the factors of a class polynomial over the genus field. Though we only consider polynomials having real factors over the genus field, it is not difficult to adapt the method so that it works when these factors are complex. Keywords: complex multiplication, genus field, class polynomial, factoring. (Update)
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BibTeX entry: (Update)
@misc{ martin-factoring,
author = "Marcel Martin",
title = "Factoring Class Polynomials over the Genus Field",
url = "citeseer.ist.psu.edu/martin06factoring.html" }
Citations (may not include all citations):352 A Course in Computational Algebraic Number Theory (context) - COHEN - 1996
81 Standard Specifications for Public Key Cryptography (context) - Draft
63 Elliptic curves and primality proving - ATKIN, MORAIN - 1993
10 Advanced Number Theory (context) - COHN - 1980
9 Primes of the form x (context) - COX - 1989
1 Constructing elliptic curves over finite fields using double.. (context) - ENGE, SCHERTZ - 2004
1 The complexity of class polynomial computations via floating.. (context) - ENGE - 2006
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