22 citations · 58 across the 27 of their papers we have counts for
5 papers · 1 filter
Cryptosystems using subgroup distortion
Indira Chatterji, Delaram Kahrobaei, Ni Yen Lu
In this paper we propose cryptosystems based on subgroup distortion in hyperbolic groups. We also include concrete examples of hyperbolic groups as possible platforms.
On the Conjugacy Problem in Certain Metabelian Groups
Jonathan Gryak, Delaram Kahrobaei, Conchita Martinez-Perez
Weanalyzethecomputationalcomplexityofanalgorithmtosolve the conjugacy search problem in a certain family of metabelian groups. We prove that in general the time complexity of the c…
Cryptography with right-angled Artin groups
Ramón Flores, Delaram Kahrobaei
In this paper we propose right-angled Artin groups as a platform for secret sharing schemes based on the efficiency (linear time) of the word problem. Inspired by previous work of…
The Status of Polycyclic Group-Based Cryptography: A Survey and Open Problems
Jonathan Gryak, Delaram Kahrobaei
Polycyclic groups are natural generalizations of cyclic groups but with more complicated algorithmic properties. They are finitely presented and the word, conjugacy, and isomorphis…
Using semidirect product of (semi)groups in public key cryptography
Delaram Kahrobaei, Vladimir Shpilrain
In this survey, we describe a general key exchange protocol based on semidirect product of (semi)groups (more specifically, on extensions of (semi)groups by automorphisms), and the…