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Provably Secure Linearly Homomorphic Aggregate Signature Scheme for Electronic Healthcare System

Author

Listed:
  • Yanyan Gu

    (School of Computer and Electronic Information, Nanjing Normal University, Nanjing 210023, China)

  • Limin Shen

    (School of Computer and Electronic Information, Nanjing Normal University, Nanjing 210023, China)

  • Futai Zhang

    (College of Computer and Cyber Security, Fujian Normal University, Fuzhou 350117, China)

  • Jinbo Xiong

    (College of Computer and Cyber Security, Fujian Normal University, Fuzhou 350117, China)

Abstract

In recent years, deploying Internet of Things (IoT) in electronic healthcare systems (EHS) has made great progress in healthcare detection. It is extremely important to reduce the cost of communication and ensure the authenticity and integrity of data. A linearly homomorphic signature scheme can solve the above problems. However, when the scale of EHS is too large, the transmission, storage and verification of signatures need a high cost. An aggregate signature can combine many signatures generated by many different users into a short one. Therefore, only one aggregate signature needs to be processed during verification, transmission and storage. Combining the advantages of aggregate signature and linearly homomorphic signature, this paper proposes an aggregate signature scheme based on a linearly homomorphic signature for EHS, which has both linear homomorphism and aggregation, and realizes double data compression. Moreover, our scheme can resist a potential real attack, named a coalition attack. The security of this scheme is rigorously demonstrated based on the computational Diffie–Hellman assumption in the random oracle model.

Suggested Citation

  • Yanyan Gu & Limin Shen & Futai Zhang & Jinbo Xiong, 2022. "Provably Secure Linearly Homomorphic Aggregate Signature Scheme for Electronic Healthcare System," Mathematics, MDPI, vol. 10(15), pages 1-14, July.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:15:p:2588-:d:871267
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    References listed on IDEAS

    as
    1. Zhengjun Jing, 2014. "An Efficient Homomorphic Aggregate Signature Scheme Based on Lattice," Mathematical Problems in Engineering, Hindawi, vol. 2014, pages 1-9, November.
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    Cited by:

    1. Jialu Hao & Wei Wu & Shuo Wang & Xiaoge Zhong & Guang Chu & Feng Shao, 2022. "A Delegation Attack Method on Attribute-Based Signatures and Probable Solutions," Mathematics, MDPI, vol. 11(1), pages 1-14, December.

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