The ISC International Journal of Information Security

Abstract \emph{ Smooth Projective Hash Functions } ( SPHFs ) as a specific pattern of zero knowledge proof system are fundamental tools to build many efficient cryptographic schemes and protocols. As an application of SPHFs, \emph { Password - Based Authenticated Key Exchange } ( PAKE ) protocol is well-studied area in the last few years. In 2009, Katz and Vaikuntanathan described the first lattice-based PAKE using the Learning With Errors ( LWE ) problem. In this work, we present a new efficient \emph { ring-based } smooth projectice hash function `` ( Ring - SPHF ) " using Lyubashevsky, Peikert, and Regev's dual-style cryptosystem based on the Learning With Errors over Rings ( Ring - LWE ) problem. Then, using our ring-SPHF, we propose the first efficient password-based authenticated key exchange ` ` ( Ring - PAKE ) " protocol over \emph{ rings } whose security relies on ideal lattice assumptions.

Abstract Wireless sensor networks (WSNs) have many applications in the areas of commercial, military and environmental requirements. Regarding the deployment of low cost sensor nodes with restricted energy resources, these networks face a lot of security challenges. A basic approach for preparing a secure wireless communication in WSNs, is to propose an efficient cryptographic key management protocol between sensor nodes to achieve maximum security with minimum cost. The main motivation of this paper is to apply the position of the sensor nodes as part of their identity for key management in heterogeneous sensor networks. In the proposed scheme, the position of sensor nodes is considered as a part of their identity and it is used for authentication and dedicating key to all network links. Comparing the proposed technique with other schemes shows that it has a higher level of scalability, security, and reliability with less memory complexity.