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IMA International Conference on Cryptography and Coding

IMACC 2015: Cryptography and Coding pp 43–56Cite as

MI-T-HFE, A New Multivariate Signature Scheme

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Part of the book series: Lecture Notes in Computer Science ((LNSC,volume 9496))

Abstract

In this paper, we propose a new multivariate signature scheme named MI-T-HFE as a competitor of QUARTZ. The core map of MI-T-HFE is of an HFEv type but more importantly has a specially designed trapdoor. This special trapdoor makes MI-T-HFE have several attractive advantages over QUARTZ. First of all, the core map and the public map of MI-T-HFE are both surjective. This surjectivity property is important for signature schemes because any message should always have valid signatures; otherwise it may be troublesome to exclude those messages without valid signatures. However this property is missing for a few major signature schemes, including QUARTZ. A practical parameter set is proposed for MI-T-HFE with the same length of message and same level of security as QUARTZ, but it has smaller public key size, and is more efficient than (the underlying HFEv- of) QUARTZ with the only cost that its signature length is twice that of QUARTZ.

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Acknowledgment

The authors would like to thank the anonymous reviewers for their helpful comments on improving this paper. The first author would like to thank the financial support from the National Natural Science Foundation of China (Grant No. 61572189).

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Authors and Affiliations

  1. Temasek Laboratories, National University of Singapore, Singapore, Singapore

    Wenbin Zhang & Chik How Tan

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  1. Wenbin Zhang
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  2. Chik How Tan
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Correspondence to Wenbin Zhang .

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Editors and Affiliations

  1. University College London, Cambridge, United Kingdom

    Jens Groth

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Zhang, W., Tan, C.H. (2015). MI-T-HFE, A New Multivariate Signature Scheme. In: Groth, J. (eds) Cryptography and Coding. IMACC 2015. Lecture Notes in Computer Science(), vol 9496. Springer, Cham. https://doi.org/10.1007/978-3-319-27239-9_3

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  • DOI: https://doi.org/10.1007/978-3-319-27239-9_3

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-27238-2

  • Online ISBN: 978-3-319-27239-9

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