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Rerandomizable Signatures Under Standard Assumption

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Progress in Cryptology – INDOCRYPT 2019 (INDOCRYPT 2019)

Part of the book series: Lecture Notes in Computer Science ((LNSC,volume 11898))

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Abstract

The Camenisch-Lysyanskaya rerandomizable signature (CL-RRS) scheme is an important tool in the construction of privacy preserving protocols. One of the limitations of CL-RRS is that the signature size is linear in the number of messages to be signed. In 2016, Pointcheval-Sanders introduced a variant of rerandomizable signature (PS-RRS) scheme which removes the above limitation. However, the security of PS-RRS scheme was proved under an interactive assumption. In 2018, Pointcheval-Sanders improved this to give a reduction under a parameterized assumption.

In 2012, Gerbush et al. introduced the dual-form signature technique to remove the dependency on interactive/parameterized assumption. They applied this technique on the CL-RRS scheme (for single message) and proved its unforgeability under static assumptions instead of the interactive assumption used in the original work but in the symmetric composite-order pairing setting.

In this work, we realize a fully rerandomizable signature scheme in the prime order setting without random oracle based on the SXDH assumption. The signature structure is derived from Ghadafi’s structure-preserving signature. We first apply the dual-form signature technique to obtain a composite-order variant, called RRSc. A signature in RRSc consists of only two group elements and is thus independent of the message block length. The security of the proposed scheme is based on subgroup hiding assumptions. Then we use the dual pairing vector space framework to obtain a prime-order variant called RRS and prove its security under the SXDH assumption.

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Authors and Affiliations

  1. Department of Computer Science and Automation, Indian Institute of Science, Bangalore, India

    Sanjit Chatterjee & R. Kabaleeshwaran

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  1. Sanjit Chatterjee
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  2. R. Kabaleeshwaran
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Correspondence to R. Kabaleeshwaran .

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Editors and Affiliations

  1. University of Warwick, Warwick, UK

    Feng Hao

  2. CSIRO Data61, Marsfield, NSW, Australia

    Sushmita Ruj

  3. Nanyang Technological University, Singapore, Singapore

    Sourav Sen Gupta

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Chatterjee, S., Kabaleeshwaran, R. (2019). Rerandomizable Signatures Under Standard Assumption. In: Hao, F., Ruj, S., Sen Gupta, S. (eds) Progress in Cryptology – INDOCRYPT 2019. INDOCRYPT 2019. Lecture Notes in Computer Science(), vol 11898. Springer, Cham. https://doi.org/10.1007/978-3-030-35423-7_3

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  • DOI: https://doi.org/10.1007/978-3-030-35423-7_3

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