57 citations · 212 across the 65 of their papers we have counts for
6 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…
Combinatorial symmetry of line arrangements and applications
Meirav Amram, Moshe Cohen, Hao Sun +3
We introduce an algorithm that exploits a combinatorial symmetry of an arrangement in order to produce a geometric reflection between two disconnected components of its moduli spac…
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…
Moduli spaces of ten-line arrangements with double and triple points
Meirav Amram, Moshe Cohen, Mina Teicher +1
Two arrangements with the same combinatorial intersection lattice but whose complements have different fundamental groups are called a Zariski pair. This work finds that there are…
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…