Module-LWE-Based Key Exchange Protocol Using Error Reconciliation Mechanism

Abstract

Lattice-based key exchange protocols have attracted tremendous attention for its post-quantum security. In this work, we construct a Module-LWE-based key exchange protocol using Peikert’s error reconciliation mechanism. Compared with Kyber.KE, our key exchange protocol reduces the total communication cost by 96-byte, i.e., 3.2% $\sim$ 6.1%, under the different parameter sets, and without reducing the post-quantum security levels. Moreover, our key exchange protocol slightly reduces the probability of session key agreement failure and the time consumed by modular multiplication of numbers and ring elements by approximately 30%. Thus, the key exchange protocol in this paper is more suitable for the lightweight communication systems.