Implementation of static and 3-round group key agreement with RLWE assumption

Abstract

With the development of communication technology, the demand for group key agreement protocols is growing. However, most of the group key agreement protocols are based on discrete logarithm problem, which is vulnerable to a quantum adversary. To solve this problem, various quantum-resistant cryptosystems have been proposed. RLWE problem is a kind of problems used in lattice-based cryptography, one of the promising post quantum cryptography. Several group key agreement protocols have been proposed based on RLWE problem. To the best of our knowledge, RLWE-based group key agreement protocol has never been implemented. In this thesis, we instantiate a static and 3-round group key agreement with RLWE assumption and implement the protocol on the arbiter-aided network. We also quantitatively analyze the performance of the implemented protocol.