In this paper we propose an algorithm for evaluation of logarithms in the finite fields Fpn , where the number pn − 1 has a small primitive factor r. The heuristic estimate of ...
This paper extends the analysis of Pollard’s rho algorithm for solving a single instance of the discrete logarithm problem in a finite cyclic group G to the case of solving more...
The mathematical property of inheritance for certain unary fixed point operations has recently been exploited to enable the efficient formulation of arithmetic algorithms and circ...
Mitchell A. Thornton, David W. Matula, Laura Spenn...
We present the role that spectral methods play in the development of the most impressive quantum algorithms, such as the polynomial time number factoring algorithm by Shor. While ...
Abstract. There are numerous subexponential algorithms for computing discrete logarithms over certain classes of finite fields. However, there appears to be no published subexponen...