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2019 | OriginalPaper | Buchkapitel

Universally Composable Secure Computation with Corrupted Tokens

verfasst von : Nishanth Chandran, Wutichai Chongchitmate, Rafail Ostrovsky, Ivan Visconti

Erschienen in: Advances in Cryptology – CRYPTO 2019

Verlag: Springer International Publishing

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Abstract

We introduce the corrupted token model. This model generalizes the tamper-proof token model proposed by Katz (EUROCRYPT ’07) relaxing the trust assumption on the honest behavior of tokens. Our model is motivated by the real-world practice of outsourcing hardware production to possibly corrupted manufacturers. We capture the malicious behavior of token manufacturers by allowing the adversary to corrupt the tokens of honest players at the time of their creation.

We show that under minimal complexity assumptions, i.e., the existence of one-way functions, it is possible to UC-securely realize (a variant of) the tamper-proof token functionality of Katz in the corrupted token model with n stateless tokens assuming that the adversary corrupts at most \(n-1\) of them (for any \(n>0\)). We apply this result to existing multi-party protocols in Katz’s model to achieve UC-secure MPC in the corrupted token model assuming only the existence of one-way functions. Finally, we show how to obtain the above results using tokens of small size that take only short inputs. The technique in this result can also be used to improve the assumption of UC-secure hardware obfuscation recently proposed by Nayak et al. (NDSS ’17). While their construction requires the existence of collision-resistant hash functions, we can obtain the same result from only one-way functions. Moreover using our main result we can improve the trust assumption on the tokens as well.

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Vorheriges Kapitel SpOT-Light: Lightweight Private Set Intersection from Sparse OT Extension

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The correlated randomness is the key that allows us to avoid the impossibility of resettably-secure computation in the standard model proven in [25]. However, we stress that correlated randomness is not required by our main theorem for UC security with tamper-proof stateless corruptible tokens from OWFs.

Our ZK argument protocol also has a straight-line witness extractor, but it is not necessary for our applications.

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Titel: Universally Composable Secure Computation with Corrupted Tokens
verfasst von: Nishanth Chandran
Wutichai Chongchitmate
Rafail Ostrovsky
Ivan Visconti
Verlag: Springer International Publishing
Buch: Advances in Cryptology – CRYPTO 2019
Print ISBN: 978-3-030-26953-1

Electronic ISBN: 978-3-030-26954-8

Copyright-Jahr: 2019
DOI: https://doi.org/10.1007/978-3-030-26954-8_14

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