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Abstract: We present an improved sequential and a parallel version of the algorithm of Hafner and McCurley for the computation of the class group of imaginary quadratic fields. We describe the implementation of this algorithm on a network of UNIXworkstations using the system LIPS. (Update)
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BibTeX entry: (Update)
J. Buchmann and S. D ullmann. Distributed class group computation. In J. Buchmann, H. Ganzinger, and W.J. Paul, editors, Informatik -- Festschrift aus Anlaß des sechzigsten Geburtstages von Herrn Prof. Dr. G. Hotz, volume 1 of Teubner--Texte zur Informatik, pages 68--81. B. G. Teubner, 1991. http://citeseer.ist.psu.edu/article/buchmann91distributed.html More
@misc{ buchmann91distributed,
author = "J. Buchmann and S. ullmann",
title = "Distributed class group computation",
text = "J. Buchmann and S. D ullmann. Distributed class group computation. In J.
Buchmann, H. Ganzinger, and W.J. Paul, editors, Informatik -- Festschrift
aus Anlaß des sechzigsten Geburtstages von Herrn Prof. Dr. G. Hotz, volume
1 of Teubner--Texte zur Informatik, pages 68--81. B. G. Teubner, 1991.",
year = "1991",
url = "citeseer.ist.psu.edu/article/buchmann91distributed.html" }
Citations (may not include all citations):40 Computation of discrete Logarithms in Prime Fields - LaMacchia, Odlyzko
40 Hermite normal form computation using modulo determinant ari.. (context) - Domich, Kannan et al. - 1987
37 Analysis and Comparison of some Integer Factoring Algorithms (context) - Pomerance - 1982
31 A rigorous subexponential algorithm for computation of class.. (context) - Hafner, McCurley
16 A Probabilistic Factorization algorithm with quadratic Forms.. (context) - Seysen - 1987
14 the complexity and efficiency of a new key exchange system - Buchmann, Dullmann et al.
13 Kluwer Academic Publishers (context) - Shanks, Gauss et al. - 1989
9 the computation of the class number of an algebraic number f.. (context) - Buchmann, Williams - 1989
8 A probabilistic class group and regulator algorithm and its .. (context) - Buchmann, Dullmann - 1989
8 Computational Methods in Number Theory (context) - Schoof, fields - 1982
4 What to do until the witness comes (context) - Bach - 1988
2 LIPS - a system for distributed applications - Buchmann, Diehl et al.
1 Institute on number theory (context) - Shanks, number et al. - 1971
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