Zero knowledge proof in secret sharing scheme using elliptic curve cryptography

Abstract

In this paper a secured secret sharing scheme has been proposed where the dealer (who distribute shared secrets among the participants and reconstruct the shared secret key) is verified using zero knowledge proof concept by the participants. To protect authenticity of the participants and confidentiality of the secret shares being transferred through the network a signcryption scheme based on elliptic curve cryptography (ECC) which incorporates both the digital signature and encryption scheme in a logical single step is used. It reduces computational cost and communication overhead. As we are using elliptic curved-based zero-knowledge proof, it provides privacy and security more than other existing techniques. The improvement of security is due to the complexity of solving the discrete logarithm problem over elliptic curves. © 2012 Springer-Verlag.