3 papers
cs.CR2025
Introducing GRAFHEN: Group-based Fully Homomorphic Encryption without Noise
Pierre Guillot, Auguste Hoang Duc, Michel Koskas +1
We present GRAFHEN, a new cryptographic scheme which offers Fully Homomorphic Encryption without the need for bootstrapping (or in other words, without noise). Building on the work…
math.GR2024
The binary actions of simple groups of Lie type of characteristic 2
Nick Gill, Pierre Guillot, Martin W. Liebeck
Let be a conjugacy class of involutions in a group . We study the graph whose vertices are elements of with con…
math.GR2024
The binary actions of simple groups with a single conjugacy class of involutions
Nick Gill, Pierre Guillot
We continue our investigation of binary actions of simple groups. In this paper, we demonstrate a connection between the graph based on the conjugacy class $\math…