Title: Full secure identity-based encryption scheme over lattices for wireless sensor networks in the standard model

Authors: Jizhong Wang; Chunxiao Wang

Addresses: Department of Mathematics and Physics, Shandong Jianzhu University, Jinan 250014, China ' Department of Mathematics and Physics, Shandong Jianzhu University, Jinan 250014, China

Abstract: This paper proposes a lattice-based identity-based encryption scheme which can be used in wireless sensor networks to achieve secure communication. More precisely, a known lattice-based chosen plain-text secure encryption scheme and the bonsai trees primitive are used to design an identity-based encryption (IBE) scheme in this paper. To reduce the public key size of the proposed IBE scheme, a public matrices chosen rule is used in this paper which reduces the public key size of proposed scheme to be close to half of that of a known lattice-based scheme. Under the hardness of the decision variant of the learning with errors (LWE) problem, we prove that the proposed IBE scheme is indistinguishable against the adaptive chosen identities and chosen-plaintext attack in the standard model. Moreover, the message-to-ciphtertext expanse factor of this scheme is also controlled efficiently which is nearly closed to that of Gentry's scheme. Due to the quantum intractability of the LWE problem on which the scheme is based, the proposed IBE scheme is secure even in quantum-era.

Keywords: wireless sensor networks; WSNs; lattice-based cryptography; learning with errors problem; standard model.

DOI: 10.1504/IJHPCN.2018.094361

International Journal of High Performance Computing and Networking, 2018 Vol.12 No.2, pp.111 - 117

Received: 12 Nov 2015
Accepted: 20 Feb 2016
Published online: 31 Aug 2018 *

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