Abstract

ABSTRACTIn large-scale distributed systems, where adversarial attacks have extensive impact, authentication provides fortification against threats involving impersonation of entities and tampering of data. Towards this, we introduce the first tetrahedron (three-dimensional (3D)) based two-server Password Authenticated and Key Exchange (PAKE) protocol to represent text passwords. A 3D PAKE protocol is a hybrid cryptographic algorithm that requires two servers for authentication; one server engages with users and the other is hidden from the clients. A remarkable aspect of the proposed 3D PAKE protocol is that reclaiming password from the stored credentials is not possible when either one/both the servers gets compromised. In this paper, we discuss the properties of tetrahedron that mesh well with Diffie–Hellman key exchange protocol and elliptic curve cryptography encryption scheme and proved that the protocol is resistant against cryptographic attacks without the involvement of public key infrastructure. The proposed protocol is the first provably secure two-server PAKE protocol against an offline dictionary attack.

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