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We introduce novel efficient and transparent construction of the polynomial commitment scheme. A polynomial commitment scheme allows one side (the prover) to commit to a polynomial of predefined degre...
Threshold private set intersection enables Alice and Bob who hold sets AA and BB of size nn to compute the intersection A∩BA∩B if the sets do not differ by more than some threshold parameter tt. In th...
A central challenge in the study of MPC is to balance between security guarantees, hardness assumptions, and resources required for the protocol. In this work, we study the cost of tolerating adaptive...
In the Conditional Disclosure of Secrets (CDS) problem (Gertner et al., J. Comput. Syst. Sci., 2000) Alice and Bob, who hold nn-bit inputs xx and yy respectively, wish to release a common secret zz to...
Secure multiparty computation (MPC) addresses the challenge of evaluating functions on secret inputs without compromising their privacy. An central question in multiparty communication is to understan...
We also get a similar lower-bound for a function that can be computed by a polynomial-size circuit (or even polynomial-time Turing machine under standard complexity-theoretic assumptions). This yields...
Electronic information is increasingly often shared among unreliable entities. In this context, one interesting problem involves two parties that secretly want to determine intersection of their respe...
Position based cryptography (PBC), proposed in the seminal work of Chandran, Goyal, Moriarty, and Ostrovsky (SIAM J. Computing, 2014), aims at constructing cryptographic schemes in which the identit...
We study the communication complexity of secure function evaluation (SFE). Consider a setting where Alice has a short input xA, Bob has an input xB and we want Bob to learn some function y = f(xA, x...
Information theoretically secure multi-party computation (MPC) is a central primitive of modern cryptography. However, relatively little is known about the communication complexity of this primitive...
We initiate a systematic treatment of the communication complexity of conditional disclosure of secrets (CDS), where two parties want to disclose a secret to a third party if and only if their respec...
In this paper, we study the communication complexity of Reliable Message Transmission (RMT) and Secure Message Transmission (SMT) protocols in asynchronous settings. We consider two variants of the pr...
In this paper we present first ever error-free, asynchronous broadcast (called as A-cast) and Byzantine Agreement (called as ABA) protocols with optimal communication complexity and fault tolerance.
In this paper we present first ever error-free, asynchronous broadcast (called as A-cast) and Byzantine Agreement (called as ABA) protocols with optimal communication complexity and fault tolerance. O...
In this paper, we study the communication complexity of Reliable Message Transmission (RMT) and Secure Message Transmission (SMT) protocols in asynchronous settings. We consider two variants of the pr...

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