Cryptology ePrint Archive: Report 2013/877

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

Shaohua Tang, Jiahui Chen, Lingling Xu, Xiaoyu Li

Abstract: 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.

Category / Keywords: public-key cryptography / Multivariate Quadratic Problem, Multivariate Public Key Cryptography, UOV Signature, Exact Security, Proxy Signature

Date: received 30 Dec 2013

Contact author: csshtang at scut edu cn

Available format(s): PDF | BibTeX Citation

Version: 20131230:203130 (All versions of this report)

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