Post-Quantum Group Key Agreement SchemeQuantum Group Key Agreement • July 11th, 2020
Abstract. Progress in quantum technologies forces the development of new cryptographic primitives that are resistant to attacks of an adversary with a quantum computer. A large number of key establishment schemes have been proposed for two participants, but the area of group post-quantum key estab- lishment schemes has not been studied a lot. Not so long ago, an isogeny-based key agreement scheme was proposed for three participants, based on a gradual increase in the degree of the key. We propose another principle for establishing a key for a group of participants using a tree-structure. The proposed key estab- lishment scheme for four participants uses isogeny of elliptic curves as a math- ematical tool.
