Paper 2013/877

MQ Signature and Proxy Signature Schemes with Exact Security Based on UOV Signature

Shaohua Tang, Jiahui Chen, Lingling Xu, and Xiaoyu Li


Multivariate public key cryptography which relies on MQ (Multivariate Quadratic) problems is one of the main approaches to guarantee the security of communication in the post-quantum world. In this paper, we propose a combined MQ signature scheme based on the yet unbroken UOV (Unbalanced Oil and Vinegar) signature if parameters are properly chosen. Our scheme can not only reduce the public key size of the UOV signature, but also provide more tighter bound of security against chosen-message attack in the random oracle model. On the other hand, we propose a proxy signature scheme based on our proposed combined signature scheme. Additionally, we give a strict security proof for our proxy signature scheme. Finally, we present experiments for all of our proposed schemes and the baseline schemes. Comparisons with related schemes show that our work has some advantages on performance along with more strict security.

Available format(s)
Public-key cryptography
Publication info
Preprint. MINOR revision.
Multivariate Quadratic ProblemMultivariate Public Key CryptographyUOV SignatureExact SecurityProxy Signature
Contact author(s)
csshtang @ scut edu cn
2013-12-30: received
Short URL
Creative Commons Attribution


      author = {Shaohua Tang and Jiahui Chen and Lingling Xu and Xiaoyu Li},
      title = {{MQ} Signature and Proxy Signature Schemes with Exact Security Based on {UOV} Signature},
      howpublished = {Cryptology ePrint Archive, Paper 2013/877},
      year = {2013},
      note = {\url{}},
      url = {}
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