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» Large primes and Fermat factors
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ISSAC
1994
Springer
165views Mathematics» more  ISSAC 1994»
15 years 1 months ago
Constructing Permutation Representations for Large Matrix Groups
New techniques, both theoretical and practical, are presented for constructing a permutation representation for a matrix group. We assume that the resulting permutation degree, n,...
Gene Cooperman, Larry Finkelstein, Bryant W. York,...
CSJM
2006
77views more  CSJM 2006»
14 years 9 months ago
An Approach to Shorten Digital Signature Length
A new method is proposed to design short signature schemes based on difficulty of factorizing a composite number n = qr, where q and r are two large primes. Using the method new d...
Nikolay A. Moldovyan
ASIACRYPT
2006
Springer
15 years 1 months ago
The 2-Adic CM Method for Genus 2 Curves with Application to Cryptography
Abstract. The complex multiplication (CM) method for genus 2 is currently the most efficient way of generating genus 2 hyperelliptic curves defined over large prime fields and suit...
Pierrick Gaudry, T. Houtmann, D. Kohel, Christophe...
CORR
2008
Springer
125views Education» more  CORR 2008»
14 years 9 months ago
Simultaneous Modular Reduction and Kronecker Substitution for Small Finite Fields
We present algorithms to perform modular polynomial multiplication or modular dot product efficiently in a single machine word. We pack polynomials into integers and perform sever...
Jean-Guillaume Dumas, Laurent Fousse, Bruno Salvy
NDSS
1999
IEEE
15 years 1 months ago
Experimenting with Shared Generation of RSA Keys
We describe an implementation of a distributed algorithm to generate a shared RSA key. At the end of the computation, an RSA modulus N = pq is publicly known. All servers involved...
Michael Malkin, Thomas D. Wu, Dan Boneh