Key-agreement based on automaton groups
This work addresses the need for secure communication in cryptography by introducing new group-based platforms, though it appears incremental as it applies an existing metascheme to different groups.
The authors tackled the problem of secure key-agreement by proposing automaton groups, such as Grigorchuk and Hanoi 3-Towers groups, as platforms for the Anshl-Anshel-Goldfeld metascheme, resulting in a method leveraging groups with unsolvable conjugacy problems for cryptographic applications.
We suggest several automaton groups as key-agreement platforms for Anshl-Anshel-Goldfeld metascheme, they include Grigorchuk and universal Grigorchuk groups, Hanoi 3-Towers group, Basilica group and a subgroup of the affine group with the unsolvable conjugacy problem