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Mathematical Biosciences and Engineering

2020, Volume 17, Issue 6: 8105-8122. doi: 10.3934/mbe.2020411
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Novel efficient lattice-based IBE schemes with CPK for fog computing

  • 1.
    School of Computer Engineering, Nanjing Institute of Technology, Nanjing 211167, China
  • 2.
    Jinling Institute of Technology, Nanjing 211169, China
  • 3.
    Beijing Jiaotong University, Beijing 100044, China
  • 4.
    School of Computer and Software, Nanjing University of Information Science and Technology, Nanjing 210044, China
  • Received: 05 August 2020 Accepted: 21 October 2020 Published: 12 November 2020

  • The data security of fog computing is a key problem for the Internet of things. Identity-based encryption (IBE) from lattices is extremely suitable for fog computing. It is able to not only simplify certificate management, but also resist quantum attacks. In this paper, firstly, we construct a novel efficient lattice-based IBE scheme with Combined Public Key (CPK) technique by keeping from consumptive trapdoor generation algorithm and preimage sampling algorithm, which is required by the existing lattice-based IBE schemes based on learning with errors (LWE). In addition, its key storage cost is lower and it is IND-ID-CPA secure in the random oracle model. Furthermore, based on this, an enhanced lattice-based IBE scheme with IND-ID-CCA security is developed by employing strong one-time signature. Our schemes only need O(n3/log n) additions of vectors, while the existing schemes need at least O(n3) of additions and multiplications in Setup and Extract phase.

    Citation: Yanfeng Shi, Shuo Qiu, Jiqiang Liu, Tinghuai Ma. Novel efficient lattice-based IBE schemes with CPK for fog computing[J]. Mathematical Biosciences and Engineering, 2020, 17(6): 8105-8122. doi: 10.3934/mbe.2020411

    Related Papers:

  • The data security of fog computing is a key problem for the Internet of things. Identity-based encryption (IBE) from lattices is extremely suitable for fog computing. It is able to not only simplify certificate management, but also resist quantum attacks. In this paper, firstly, we construct a novel efficient lattice-based IBE scheme with Combined Public Key (CPK) technique by keeping from consumptive trapdoor generation algorithm and preimage sampling algorithm, which is required by the existing lattice-based IBE schemes based on learning with errors (LWE). In addition, its key storage cost is lower and it is IND-ID-CPA secure in the random oracle model. Furthermore, based on this, an enhanced lattice-based IBE scheme with IND-ID-CCA security is developed by employing strong one-time signature. Our schemes only need O(n3/log n) additions of vectors, while the existing schemes need at least O(n3) of additions and multiplications in Setup and Extract phase.


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