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...
We survey recent research in which the impact of an embodied conversational agent on human-computer interaction has been assessed through a human evaluation. In some cases, the eva...
In this paper, we introduce a powered Tate pairing on a supersingular elliptic curve that has the same shortened loop as the modified Tate pairing using the eta pairing approach by...
An efficient and purely combinatorial algorithm for calculating products in arbitrary Coxeter groups is presented, which combines ideas of Fokko du Cloux and myself. Proofs are lar...
Abstract. Following Gaudry and G¨urel who extended Kedlaya’s point-counting algorithm to superelliptic curves, we introduce Harvey’s running time improvements for large enough...