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TurboIKOS: Improved Non-interactive Zero Knowledge and Post-quantum Signatures

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Applied Cryptography and Network Security (ACNS 2021)

Part of the book series: Lecture Notes in Computer Science ((LNSC,volume 12727))

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Abstract

In this work, we present a zero knowledge argument for general arithmetic circuits that is public-coin and constant rounds, so it can be made non-interactive and publicly verifiable with the Fiat-Shamir heuristic. The construction is based on the MPC-in-the-head paradigm, in which the prover jointly emulates all MPC protocol participants and can provide advice in the form of Beaver triples whose accuracy must be checked by the verifier. Our construction follows the Beaver triple sacrificing approach used by Baum and Nof [PKC 2020]. Our improvements reduce the communication per multiplication gate from 4 to 2 field elements, matching the performance of the cut-and-choose approach taken by Katz, Kolesnikov, and Wang [CCS 2018] and with lower additive overhead for some parameter settings. We implement our protocol and analyze its cost on Picnic-style post-quantum digital signatures based on the AES family of circuits.

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Acknowledgments

This material is supported by a Google PhD Fellowship, the DARPA SIEVE program under Agreement No. HR00112020021, and the National Science Foundation under Grants No. 1414119, 1718135, 1739000, 1801564, 1915763, and 1931714.

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Authors and Affiliations

  1. Cryptomnium LLC, Atlanta, USA

    Yaron Gvili

  2. Boston University, Boston, USA

    Julie Ha, Sarah Scheffler, Mayank Varia & Ziling Yang

  3. George Mason University, Fairfax, USA

    Xinyuan Zhang

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  1. Yaron Gvili
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Correspondence to Mayank Varia .

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  1. Waseda University, Tokyo, Japan

    Kazue Sako

  2. CISPA Helmholtz Center for Information Security, Saarbrücken, Germany

    Nils Ole Tippenhauer

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Gvili, Y., Ha, J., Scheffler, S., Varia, M., Yang, Z., Zhang, X. (2021). TurboIKOS: Improved Non-interactive Zero Knowledge and Post-quantum Signatures. In: Sako, K., Tippenhauer, N.O. (eds) Applied Cryptography and Network Security. ACNS 2021. Lecture Notes in Computer Science(), vol 12727. Springer, Cham. https://doi.org/10.1007/978-3-030-78375-4_15

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