702 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
4 papers · 1 filter
A high-level comparison of state-of-the-art quantum algorithms for breaking asymmetric cryptography
Martin Ekerå, Joel Gärtner
We provide a high-level cost comparison between Regev's quantum algorithm with Ekerå-Gärtner's extensions on the one hand, and existing state-of-the-art quantum algorithms for fact…
Extending Regev's factoring algorithm to compute discrete logarithms
Martin Ekerå, Joel Gärtner
Regev recently introduced a quantum factoring algorithm that may be perceived as a -dimensional variation of Shor's factoring algorithm. In this work, we extend Regev's factorin…
On the success probability of the quantum algorithm for the short DLP
Martin Ekerå
Ekerå and Håstad have introduced a variation of Shor's algorithm for the discrete logarithm problem (DLP). Unlike Shor's original algorithm, Ekerå-Håstad's algorithm solves the sho…
Quantum algorithms for computing short discrete logarithms and factoring RSA integers
Martin Ekerå, Johan Håstad
In this paper we generalize the quantum algorithm for computing short discrete logarithms previously introduced by Ekerå so as to allow for various tradeoffs between the number of…