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Abstract: this paper we describe the results obtained from a refinement to MPQS known as the Hypercube variation (HMPQS). HMPQS was developed independently by the first author [7] and by Pomerance and Alford [1]. We implemented HMPQS on a Parsytec GC with 128 processors (at 80 Mhz) at the Japan Advanced Institute of Science and Technology (JAIST). We used our pro- Manuscript received , 1996. (Update)
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BibTeX entry: (Update)
@article{ peralta97factoring,
author = "Peralta and Mambo and Okamoto",
title = "Factoring Hard Integers on a Parallel Machine",
journal = "TIEICE: IEICE Transactions on Communications/Electronics/Information and Systems",
year = "1997",
url = "citeseer.ist.psu.edu/peralta97factoring.html" }
Citations (may not include all citations):43 Factoring with two large primes (context) - Lenstra, Manasse - 1991
39 The quadratic sieve factoring algorithm (context) - Pomerance - 1985
37 Analysis and comparison of some integer factoring algorithms (context) - Pomerance - 1982
25 up to high powers (context) - Brillhart, Lehmer et al. - 1988
23 Asymptotic semi-smoothness probabilities - Bach, Peralta - 1996
14 A simple and fast probabilistic algorithm for computing squa.. (context) - Peralta - 1986
10 Th'eorie des Nombres (context) - Kraitchik - 1926
5 A quadratic sieve on the n-dimensional cube (context) - Peralta - 1993
2 Implementing the self initialization quadratic sieve on a di.. (context) - Alford, Pomerance - 1995
Documents on the same site (http://cs.uwm.edu/faculty/peralta/papers.html):
On the Distribution of Quadratic Residues and Nonresidues Modulo.. - Peralta (1992) (Correct)
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