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Practical Continuously Non-malleable Randomness Encoders in the Random Oracle Model

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Cryptology and Network Security (CANS 2021)

Part of the book series: Lecture Notes in Computer Science ((LNSC,volume 13099))

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Abstract

A randomness encoder is a generalization of encoding schemes with an efficient procedure for encoding uniformly random strings. In this paper we continue the study of randomness encoders that additionally have the property of being continuous non-malleable. The beautiful notion of non-malleability for encoding schemes, introduced by Dziembowski, Pietrzak and Wichs (ICS’10), states that tampering with the codeword can either keep the encoded message identical or produce an uncorrelated message. Continuous non-malleability extends the security notion to a setting where the adversary can tamper the codeword polynomially many times and where we assume a self-destruction mechanism in place in case of decoding errors. Our contributions are: (1) two practical constructions of continuous non-malleable randomness encoders in the random oracle model, and (2) a new compiler from continuous non-malleable randomness encoders to continuous non-malleable codes, and (3) a study of lower bounds for continuous non-malleability in the random oracle model.

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Notes

  1. 1.

    The proof of security would work through a complexity-leveraging argument.

  2. 2.

    Notice that \(\varPi \) might be a randomness encoder in the standard model (i.e. no random oracle), whilst our reduction makes random oracle queries. In this case we could assume that \(\mathsf {RO}\) is a lazy-sampled, locally-stored random function, therefore \(\mathsf {B}\) would be a standard-model adversary for \(\varPi \).

  3. 3.

    It can be easily realized using a \(\mathsf {RO}'\) with codomain \(\{0,1\}^{2\lambda }\).

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Authors and Affiliations

  1. EURECOM, Biot, France

    Antonio Faonio

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  1. Antonio Faonio
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Correspondence to Antonio Faonio .

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Editors and Affiliations

  1. University of Padua, Padua, Italy

    Mauro Conti

  2. Centrum Wiskunde & Informatica, Amsterdam, The Netherlands

    Marc Stevens

  3. AIT Austrian Institute of Technology, Vienna, Austria

    Stephan Krenn

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Faonio, A. (2021). Practical Continuously Non-malleable Randomness Encoders in the Random Oracle Model. In: Conti, M., Stevens, M., Krenn, S. (eds) Cryptology and Network Security. CANS 2021. Lecture Notes in Computer Science(), vol 13099. Springer, Cham. https://doi.org/10.1007/978-3-030-92548-2_15

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  • DOI: https://doi.org/10.1007/978-3-030-92548-2_15

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