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In their celebrated work, Groth and Sahai [EUROCRYPT'08, SICOMP' 12] constructed non-interactive zero-knowledge (NIZK) proofs for general bilinear group arithmetic relations, which spawned the entire ...
This paper deals with (1) asymptotics of ``strongly-multiplicative'' arithmetic secret sharing over an arbitrary fixed ring Rℓ:=Z/pℓZ (p>0 prime, ℓ>0 an integer) and supporting an un...
We revisit the framework of Commodity-based Cryptography presented by Beaver (STOC'97) with a focus on updating the framework to fit with modern multiparty computation (MPC) protocols. We study the po...
In this work we present a new interactive Zero-Knowledge Argument of knowledge for general arithmetic circuits. Our protocol is based on the ``MPC-in-the-head''-paradigm of Ishai et al. (STOC 2009) an...
We present a fully homomorphic encryption scheme continuing the line of works of Ducas and Micciancio (2015, [DM15]), Chillotti et al. (2016, [CGGI16a]; 2017, [CGGI17]; 2018, [CGGI18a]), and Gao (2018...
This paper presents the first attribute-based signature (ABS) scheme in which the correspondence between signers and signatures is captured in an arithmetic model of computation. Specifically, we desi...
There are two main ways of performing computation on private data: one method uses linear secret-sharing, in which additions require no communication and multiplications require two secrets to be broa...
We consider the problem of garbling arithmetic circuits and present a garbling scheme for inner-product predicates over exponentially large fields. Our construction stems from a generic transformation...
In this work, we study the problem of constructing oblivious RAM for secure multi-party computation to obliviously access memory at private locations during secure computation. We build on recent two-...
We show how to implement the Montgomery reduction algorithm for isogeny based cryptography such that it can utilize the "unsigned multiply accumulate accumulate long" instruction present on modern ARM...
Homomorphic Encryption for Arithmetic of Approximate Numbers (HEAAN) with its vector packing technique proved its potential in cryptographic applications. In this paper, we propose MHEAAN - a generali...
We propose the first zero-knowledge argument with sub-linear communication complexity for arithmetic circuit satisfiability over a prime pp whose security is based on the hardness of the short integer...
In this paper we investigate various arithmetic techniques which can be used to potentially enhance the performance in the supersingular isogeny Diffie-Hellman (SIDH) key-exchange protocol which is on...
Masking is a very common countermeasure against side channel attacks. When combining Boolean and arithmetic masking, one must be able to convert between the two types of masking, and the conversion al...
Digital currencies like Bitcoin and other blockchain based systems provide means to record monetary transfers between accounts. In Bitcoin like systems transactions are published on a decentralized le...

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