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MQ Aggregate Signature Schemes with Exact Security Based on UOV Signature

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Information Security and Cryptology (Inscrypt 2019)

Part of the book series: Lecture Notes in Computer Science ((LNSC,volume 12020))

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Abstract

Multivariate public key cryptography which relies on multivariate quadratic (MQ) problem is one of the main approaches to guarantee the security of communication in the post-quantum world. In this paper, we focus mainly on the yet unbroken (under proper parameter choice) Unbalanced Oil and Vinegar (UOV) scheme, and discuss the exact security of it. Then we propose a combined signature scheme which that (1) not only can reduce the public key size of the UOV signature scheme, and (2) but also can provide tighter security against chosen-message attack in the random oracle. On the other hand, we propose a novel aggregate signature scheme based on UOV signature scheme. Additionally, we give security proof for our aggregate signature scheme under the security of our proposed signature scheme.

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Acknowledgment

This work is supported by the Key Areas Research and Development Program of Guangdong Province (grant 2019B010139002), National Natural Science Foundation of China (grant 61902079) and the project of Guangzhou Science and Technology (grant 201902020006 & 201902020007).

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Authors and Affiliations

  1. School of Computer, Guangdong University of Technology, Guangzhou, China

    Jiahui Chen & Jie Ling

  2. School of Computing, National University of Singapore, Singapore, Singapore

    Jianting Ning

  3. Qihoo 360, Beijing, China

    Zhiniang Peng

  4. Shenzhen Ringle.AI Technology Co. Ltd., Shenzhen, China

    Yang Tan

Authors
  1. Jiahui Chen
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  2. Jie Ling
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  3. Jianting Ning
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  4. Zhiniang Peng
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  5. Yang Tan
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Corresponding author

Correspondence to Jie Ling .

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Editors and Affiliations

  1. College of Computer Science and Technology, Nanjing University of Aeronautics and Astronautics, Nanjing, China

    Zhe Liu

  2. Computer Science Department, Columbia University, New York, NY, USA

    Moti Yung

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Chen, J., Ling, J., Ning, J., Peng, Z., Tan, Y. (2020). MQ Aggregate Signature Schemes with Exact Security Based on UOV Signature. In: Liu, Z., Yung, M. (eds) Information Security and Cryptology. Inscrypt 2019. Lecture Notes in Computer Science(), vol 12020. Springer, Cham. https://doi.org/10.1007/978-3-030-42921-8_26

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  • DOI: https://doi.org/10.1007/978-3-030-42921-8_26

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-42920-1

  • Online ISBN: 978-3-030-42921-8

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