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Mathematical Problems in Engineering
Volume 2014 (2014), Article ID 980274, 9 pages
Research Article

Certificateless Public Key Encryption Scheme with Hybrid Problems and Its Application to Internet of Things

1State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing 100876, China
2Department of Mathematics and Information Science, Shaanxi Normal University, Xi’an 710062, China

Received 9 October 2013; Revised 31 December 2013; Accepted 19 January 2014; Published 12 March 2014

Academic Editor: Fuzhong Nian

Copyright © 2014 Rui Guo et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Certificateless cryptography aims at combining the advantages of public key cryptography and identity based cryptography to avoid the certificate management and the key escrow problem. In this paper, we present a novel certificateless public key encryption scheme on the elliptic curve over the ring, whose security is based on the hardness assumption of Bilinear Diffie-Hellman problem and factoring the large number as in an RSA protocol. Moreover, since our scheme requires only one pairing operation in decryption, it is significantly more efficient than other related schemes. In addition, based on our encryption system, we also propose a protocol to protect the confidentiality and integrity of information in the scenario of Internet of Things with constrained resource nodes.