Advances in Cryptology – CRYPTO 2013: 33rd Annual Cryptology by Yehuda Lindell (auth.), Ran Canetti, Juan A. Garay (eds.)

By Yehuda Lindell (auth.), Ran Canetti, Juan A. Garay (eds.)

The volume-set, LNCS 8042 and LNCS 8043, constitutes the refereed court cases of the thirty third Annual overseas Cryptology convention, CRYPTO 2013, held in Santa Barbara, CA, united states, in August 2013. The sixty one revised complete papers offered in LNCS 8042 and LNCS 8043 have been conscientiously reviewed and chosen from a variety of submissions. abstracts of the invited talks also are integrated within the complaints. The papers are prepared in topical sections on lattices and FHE; foundations of hardness; cryptanalysis; MPC - new instructions; leakage resilience; symmetric encryption and PRFs; key trade; multi linear maps; perfect ciphers; implementation-oriented protocols; number-theoretic hardness; MPC - foundations; codes and mystery sharing; signatures and authentication; quantum safeguard; new primitives; and sensible encryption.

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Additional resources for Advances in Cryptology – CRYPTO 2013: 33rd Annual Cryptology Conference, Santa Barbara, CA, USA, August 18-22, 2013. Proceedings, Part II

Example text

First of all, we now pick J at the outset of the experiment. This defines the check circuits and evaluation circuits for P2 . Next, in each instance i in which P1 acts as OT receiver in step 2 and sends message hi , we extract (using the WI proof of knowledge) either logg hi or logg (C/hi ). In the former case we set xi = 0 and in the latter case we set xi = 1. Then, when computing the κ responses for the ith OT, in each response xi but we that corresponds to an evaluation circuit j of P2 we continue to use vj,n+i 1−xi replace vj,n+i with the all-0 string.

The case of malicious players is more complicated and less efficient. A classical solution is to use zero-knowledge proofs to verify that the players follow the protocol. However, the proofs in this case are rather inefficient. [8,16] show how to garble a circuit in such a way that these proofs can be instantiated more efficiently. Still, these constructions require a constant number of exponentiations per gate, making them inefficient for large circuits. The Cut-and-Choose Approach. A slightly more explored direction is based on using the cut-and-choose method for checking the garbled circuit.

One point omitted from the above discussion is that now it must be possible to check during the cut-and-choose phase that correct shares were used when constructing the garbled circuits. 3). We defer to the next section additional technical details of the protocol needed for the proof of security. 4 Formal Specification of the Protocol Fix a function f : {0, 1}n × {0, 1}n → {0, 1}n that parties P1 and P2 wish to compute over their respective inputs x, y ∈ {0, 1}n. We assume both parties learn the output, but it is easy to modify the protocol so that only one party learns the output.

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