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Leakage-Resilient Non-interactive Key Exchange in the Continuous-Memory Leakage Setting

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Provable Security (ProvSec 2017)

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Abstract

Recently, Chakraborty et al. (Cryptoeprint:2017:441) showed a novel approach of constructing several leakage-resilient cryptographic primitives by introducing a new primitive called leakage-resilient non-interactive key exchange (LR-NIKE). Their construction of LR-NIKE was only in the bounded-memory leakage model, and they left open the construction of LR-NIKE in continuous-memory leakage model. In this paper we address that open problem. Moreover, we extend the continuous-memory leakage model by addressing more realistic after-the-fact leakage. The main ingredients of our construction are a leakage-resilient storage scheme and a refreshing protocol (Dziembowski and Faust, Asiacrypt 2011) and a (standard) chameleon hash function (CHF), equipped with an additional property of oblivious sampling, which we introduce. We observe that the present constructions of CHF already satisfies our new notion. Further, our protocol can be used as a building block to construct leakage-resilient public-key encryption schemes, interactive key exchange and low-latency key exchange protocols in the continuous-memory leakage model, following the approach of Chakraborty et al. (Cryptoeprint:2017:441).

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Notes

  1. 1.

    Leakage rate is defined as the ratio of the amount of leakage to the size of the secret.

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Acknowledgments

The work was initiated when the first and second authors were visiting IACR-SEAMS workshop on “Cryptography: Foundations and New Directions” at VAISM, Vietnam in the winter of 2016. The work is partially supported by Project No. CCE/CEP/22/VK&CP/CSE/14-15 on Information Security & Awareness (ISEA) Phase-II by Ministry of Electronics & Information Technology, Government of India. Janaka Alawatugoda acknowledges the grant NRC 16-020 of National Research Council, Sri Lanka.

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Authors and Affiliations

  1. Department of Computer Science and Engineering, Indian Institute of Technology Madras, Chennai, 600036, Tamil Nadu, India

    Suvradip Chakraborty & C. Pandu Rangan

  2. Department of Computer Engineering, University of Peradeniya, Peradeniya, 20400, Sri Lanka

    Janaka Alawatugoda

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  1. Suvradip Chakraborty
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  2. Janaka Alawatugoda
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  3. C. Pandu Rangan
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Correspondence to Suvradip Chakraborty .

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Editors and Affiliations

  1. NTT Laboratories, Tokyo, Japan

    Tatsuaki Okamoto

  2. Shaanxi Normal University, Xi’an, China

    Yong Yu

  3. Hong Kong Polytechnic University, Hong Kong, China

    Man Ho Au

  4. University of Wollongong, Wollongong, New South Wales, Australia

    Yannan Li

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Chakraborty, S., Alawatugoda, J., Pandu Rangan, C. (2017). Leakage-Resilient Non-interactive Key Exchange in the Continuous-Memory Leakage Setting. In: Okamoto, T., Yu, Y., Au, M., Li, Y. (eds) Provable Security. ProvSec 2017. Lecture Notes in Computer Science(), vol 10592. Springer, Cham. https://doi.org/10.1007/978-3-319-68637-0_10

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