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Statistical zapr arguments from bilinear maps
Published 2022“…Our construction relies on a combination of several tools, including the Groth-Ostrovsky-Sahai NIZK and NIWI [EUROCRYPT ’06, CRYPTO ’06, JACM ’12], “sometimes-binding statistically hiding commitments” [Kalai-Khurana-Sahai, EUROCRYPT ’18] and the “MPC-in-the-head” technique [Ishai-Kushilevitz-Ostrovsky-Sahai, STOC ’07].…”
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2
Private Constrained PRFs (and More) from LWE
Published 2021“…Boneh, Kim and Montgomery (EUROCRYPT 2017) recently presented a construction of private constrained PRF for point function constraints, and Canetti and Chen (EUROCRYPT 2017) presented a completely different construction for more general NC1 constraints. …”
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3
Towards breaking the exponential barrier for general secret sharing
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4
Fiat-Shamir for Repeated Squaring with Applications to PPAD-Hardness and VDFs
Published 2021“…As a corollary (following Choudhuri et al., ePrint 2019 and Ephraim et al., EUROCRYPT 2020), we construct hard-on-average problems in the complexity class (Formula Presented) under the (Formula Presented)-hardness of the repeated squaring problem and the (Formula Presented)-hardness of the learning with errors problem. …”
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5
Matrix PRFs: Constructions, Attacks, and Applications to Obfuscation
Published 2021“…Along the way, we simplify the “tensor switching lemmas” introduced in previous IO attacks.We show that a subclass of the candidate local-PRG proposed by Barak et al. [Eurocrypt 2018] can be broken using simple matrix algebra.We show that augmenting the CVW18 IO candidate with a matrix PRF provably immunizes the candidate against all known algebraic and statistical zeroizing attacks, as captured by a new and simple adversarial model.…”
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Leveled Fully Homomorphic Signatures from Standard Lattices
Published 2017“…(CRYPTO '13) and Boneh et al. (EUROCRYPT '14) in the contexts of fully homomorphic and attribute-based encryptions.…”
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