16 citations · 24 across the 12 of their papers we have counts for
5 papers · 1 filter
Non-associative key establishment protocols and their implementation
Arkadius Kalka, Mina Teicher
We provide implementation details for non-associative key establishment protocols. In particular, we describe the implementation of non-associative key establishment protocols for…
Iterated LD-Problem in non-associative key establishment
Arkadius Kalka, Mina Teicher
We construct new non-associative key establishment protocols for all left self-distributive (LD), multi-LD-, and mutual LD-systems. The hardness of these protocols relies on variat…
Logspace computations for Garside groups of spindle type
Murray Elder, Arkadius Kalka
M. Picantin introduced the notion of Garside groups of spindle type, generalizing the 3-strand braid group. We show that, for linear Garside groups of spindle type, a normal form a…
Double Centralizers of Parabolic Subgroups of Braid Groups
David Garber, Arkadius Kalka, Eran Liberman +1
We characterize the double centralizer of all parabolic subgroups of the braid groups. We apply this result to provide a new and potentially more efficient solution to the subgroup…
Non-associative key establishment for left distributive systems
Arkadius Kalka, Mina Teicher
We construct non-associative key establishment protocols for all left self-distributive (LD), multi-LD-, and other left distributive systems. Instantiations of these protocols usin…