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Adaptive Multiparty NIKE

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Theory of Cryptography (TCC 2022)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 13748))

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Abstract

We construct adaptively secure multiparty non-interactive key exchange (NIKE) from polynomially-hard indistinguishability obfuscation and other standard assumptions. This improves on all prior such protocols, which required sub-exponential hardness. Along the way, we establish several compilers which simplify the task of constructing new multiparty NIKE protocols, and also establish a close connection with a particular type of constrained PRF.

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Notes

  1. 1.

    We note two uses of the term “group”: the group of users establishing a shared key, and the cryptographic group used as a tool. Which use should be clear from context.

  2. 2.

    Multiparty NIKE can also be built via functional encryption [GPSZ17], which is equivalent to iO [BV15a, AJ15] under sub-exponential reductions.

  3. 3.

    Note that multiparty NIKE itself is an interactive assumption.

  4. 4.

    Recall \((\textsf{index}_{y+1}, \textsf{sym}_{y+1})\) is chosen during the setup phase.

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Acknowledgements

We thank Rachit Garg and George Lu for helpful feedback on an earlier draft of our work.

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Authors and Affiliations

  1. IIT Delhi, Delhi, India

    Venkata Koppula

  2. NTT Research, Sunnyvale, USA

    Brent Waters & Mark Zhandry

  3. UT Austin, Austin, USA

    Brent Waters

  4. Princeton University, Princeton, USA

    Mark Zhandry

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  1. Venkata Koppula
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Correspondence to Venkata Koppula .

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Editors and Affiliations

  1. Ruhr University Bochum, Bochum, Germany

    Eike Kiltz

  2. Massachusetts Institute of Technology, Cambridge, MA, USA

    Vinod Vaikuntanathan

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Koppula, V., Waters, B., Zhandry, M. (2022). Adaptive Multiparty NIKE. In: Kiltz, E., Vaikuntanathan, V. (eds) Theory of Cryptography. TCC 2022. Lecture Notes in Computer Science, vol 13748. Springer, Cham. https://doi.org/10.1007/978-3-031-22365-5_9

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