Cryptology ePrint Archive: Report 2020/873

Post-Quantum Group Key Agreement Scheme

Julia Bobrysheva and Sergey Zapechnikov

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 establishment 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 establishment scheme for four participants uses isogeny of elliptic curves as a mathematical tool.

Category / Keywords: cryptographic protocols / group key agreement, isogenies, post-quantum scheme

Date: received 11 Jul 2020

Contact author: julia at epage ru,svzapechnikov@mephi ru

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Version: 20200712:125943 (All versions of this report)

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