The best practical algorithm for class group computations in imaginary quadratic number fields (such as group structure, class number, discrete logarithm computations) is a varian...
We describe an adaptation of the number field sieve to the problem of computing logarithms in a finite field. We conjecture that the running time of the algorithm, when restricted ...
This paper suggests a new building block for cryptographic protocols and gives two instantiations of it. The concept is to generate two descriptions of the same group: a public des...
This paper describes an implementation of Pollard’s rho algorithm to compute the elliptic curve discrete logarithm for the Synergistic Processor Elements of the Cell Broadband En...
Joppe W. Bos, Thorsten Kleinjung, Ruben Niederhage...
Abstract. We propose a simple, general, randomized technique to reduce certain geometric optimization problems to their corresponding decision problems. These reductions increase t...