Chinese Remainder Theorem-Based RSA-Threshold Cryptography in MANET Using Verifiable Secret Sharing Scheme

Abstract

A mobile ad hoc network (MANET) is an infrastructure-less system having no designated access points or routers and it has a dynamic topology. MANETs follow a distributed architecture, in which each node can move randomly in an area of operation. MANETs are vulnerable to various attacks. Security services in these kinds of networks are more complex than in traditional networks. In this paper, we implement a new RSA-threshold cryptography-based scheme for MANETs using verifiable secret sharing (VSS) scheme (Feldman, 1987). Threshold cryptography (TC) provides a promise of securing these networks. The proposed scheme is based on the Chinese remainder theorem (CRT) under the consideration of Asmuth-Bloom secret sharing scheme (Kaya and Selcuk, 2008). To the best of our knowledge, such a work does not exist in MANETs. The proposed scheme is efficient in terms of computational security.