A (1,2)-robust combiner for a cryptographic primitive P is a construction that takes two candidate schemes for P and combines them into one scheme that securely implement P even if one of the candidates fails. Robust combiners are a useful tool for ensuring better security in applied cryptography, and also a handy tool for constructing cryptographic protocols. For example, we discuss using robust combiners for obtaining universal schemes for cryptographic primitives (a universal scheme is an explicit construction that implements P under the sole assumption that P exists). In this paper we study what primitives admit robust combiners. In addition to known and very simple combiners for one-way functions and equivalent primitives, we show robust combiners for protocols in the world of public key cryptography, namely for Key Agreement(KA). The main point we make is that things are not as nice for Oblivious Transfer (OT) and in general for secure computation. We prove that there are no “transparent black-box ” robust combiners for OT, giving an indication to the difficulty of finding combiners for OT. On the positive side we show a black box construction of a (2, 3)-robust combiner for OT, as well as a generic construction of (1, n)-robust OT-combiners from any (1, 2)-robust OT-combiner.A (1,2)-robust combiner for a cryptographic primitive P is a construction that takes two candidate schemes for P and combines them into one scheme that securely implement P even if one of the candidates fails. Robust combiners are a useful tool for ensuring better security in applied cryptography, and also a handy tool for constructing cryptographic protocols. For example, we discuss using robust combiners for obtaining universal schemes for cryptographic primitives (a universal scheme is an explicit construction that implements P under the sole assumption that P exists). In this paper we study what primitives admit robust combiners. In addition to known and very simple combiners for one-way functions and equivalent primitives, we show robust combiners for protocols in the world of public key cryptography, namely for Key Agreement(KA). The main point we make is that things are not as nice for Oblivious Transfer (OT) and in general for secure computation. We prove that there are no “transparent black-box ” robust combiners for OT, giving an indication to the difficulty of finding combiners for OT. On the positive side we show a black box construction of a (2, 3)-robust combiner for OT, as well as a generic construction of (1, n)-robust OT-combiners from any (1, 2)-robust OT-combiner.

Jan 1, 20051 citation

Error-Tolerant Combiners for Oblivious Primitives

Bartosz Przydatek, Jürg Wullschleger

Lecture notes in computer scienceAug 12, 200812 citations

Generalized Robust Combiners for Oblivious Transfer

Ganugula Umadevi, Sarat C. Addepalli, Kannan Srinathan

A robust combiner for a cryptographic primitive gives a secure implementation of the primitive when at least some of the input candidates are secure. Such constructions provide robustness against insecure implementations and incorrect assumptions underlying the candidate schemes. Robust combiners are useful tools for ensuring better security in applied cryptography. Combiners from the perspective of threshold schemes have been previously studied. However, such threshold schemes typically fail to capture all possible scenarios. In this paper, we characterize the possibility of a transparent black-box combiner for oblivious transfer (OT), given an access structure over the candidate implementations. We also propose a circuit-based framework for the construction of such combiners, and hence reduce the problem of optimal OT combiners to circuit optimization.A robust combiner for a cryptographic primitive gives a secure implementation of the primitive when at least some of the input candidates are secure. Such constructions provide robustness against insecure implementations and incorrect assumptions underlying the candidate schemes. Robust combiners are useful tools for ensuring better security in applied cryptography. Combiners from the perspective of threshold schemes have been previously studied. However, such threshold schemes typically fail to capture all possible scenarios. In this paper, we characterize the possibility of a transparent black-box combiner for oblivious transfer (OT), given an access structure over the candidate implementations. We also propose a circuit-based framework for the construction of such combiners, and hence reduce the problem of optimal OT combiners to circuit optimization.

International Conference on Availability, Reliability and Security (ARES)Jan 1, 20090 citations

On the foundations of oblivious transfer

Christian Cachin

Lecture notes in computer scienceJan 1, 199850 citations

Supersingular Isogeny Oblivious Transfer (SIOT)

Paulo S. L. M. Barreto, Anderson C. A. Nascimento, Gláucio Oliveira +1 more

We present an oblivious transfer (OT) protocol that combines the OT scheme of Chou and Orlandi together with thesupersingular isogeny Diffie-Hellman (SIDH) primitive of De Feo, Jao, and Plût. Our construction is a candidate for post-quantum secure OT and demonstrates that SIDH naturally supports OT functionality. We consider the protocol in the simplest configuration of $\binom{2}{1}$ -OT and analyze the protocol to verify its security.We present an oblivious transfer (OT) protocol that combines the OT scheme of Chou and Orlandi together with thesupersingular isogeny Diffie-Hellman (SIDH) primitive of De Feo, Jao, and Plût. Our construction is a candidate for post-quantum secure OT and demonstrates that SIDH naturally supports OT functionality. We consider the protocol in the simplest configuration of $\binom{2}{1}$-OT and analyze the protocol to verify its security.

arXiv:1805.06589May 17, 20181 citation

\binom{2}{1}

-OT and analyze the protocol to verify its security.