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A Practical Lattice-Based Sequential Aggregate Signature

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Provable Security (ProvSec 2019)

Part of the book series: Lecture Notes in Computer Science ((LNSC,volume 11821))

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Abstract

In this work, we construct a lattice-based efficient Sequential Aggregate Signature (SAS) scheme that is provably secure in standard ideal cipher model with some slight changes. This framework is inspired by the scheme of Gentry et al. at PKC 2018 which presented trapdoor-permutation-based sequential aggregate signatures. Since to present, there is no known method to construct a lattice-based trapdoor permutation, we use lattice-based trapdoor function instead to design SAS scheme. In particular, our scheme is history-free, where the sequentially-executed aggregation operation does not need to take the previous messages in order as one part of its input. We also give software implementation of our SAS scheme using FALCON based trapdoor function, which originates from the provably secure NTRUSign signature scheme proposed by Stehlé and Steinfeld at Eurocrypt 2011. The experiment results show our scheme is efficient and practical.

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Acknowledgment

This paper is supported by the National Key R&D Program of China through project 2017YFB0802500, by the National Cryptography Development Fund through project MMJJ20170106, by the foundation of Science and Technology on Information Assurance Laboratory through project 61421120305162112006, the Natural Science Foundation of China through projects 61772538, 61672083, 61532021, 61472429, 91646203 and 61402029.

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Authors and Affiliations

  1. School of Cyber Science and Technology, Beihang University, Beijing, China

    Zhipeng Wang & Qianhong Wu

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  1. Zhipeng Wang
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  2. Qianhong Wu
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Correspondence to Zhipeng Wang or Qianhong Wu .

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Editors and Affiliations

  1. Monash University, Melbourne, VIC, Australia

    Ron Steinfeld

  2. The University of Hong Kong, Pok Fu Lam, Hong Kong

    Tsz Hon Yuen

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Wang, Z., Wu, Q. (2019). A Practical Lattice-Based Sequential Aggregate Signature. In: Steinfeld, R., Yuen, T. (eds) Provable Security. ProvSec 2019. Lecture Notes in Computer Science(), vol 11821. Springer, Cham. https://doi.org/10.1007/978-3-030-31919-9_6

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  • DOI: https://doi.org/10.1007/978-3-030-31919-9_6

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