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Substantial work on trapdoor functions (TDFs) has led to many powerful notions and applications. However, despite tremendous work and progress, all known constructions have prohibitively large public ...
We propose a generic framework for perfectly hiding UC-Commitment schemes in the Global Random Oracle model of Canetti \textit{el at.} (CCS 14). The main building block of our construction is a novel ...
We study the relationship among public-key encryption (PKE) satisfying indistinguishability against chosen plaintext attacks (IND-CPA security), that against chosen ciphertext attacks (IND-CCA securit...
The key observation underlying our approach is that Rudich's impossibility result applies not only to one-way functions as the underlying primitive, but in fact to a variety of "unstructured'' primiti...
Prior to our work, all constructions of deterministic encryption based even on the stronger DDH assumption incurred a quadratic gap between the ciphertext and plaintext sizes. Moreover, all DDH-based ...
Trapdoor functions (TDFs) are a fundamental primitive in cryptography. Yet, the current set of assumptions known to imply TDFs is surprisingly limited, when compared to public-key encryption. We prese...
Selective opening (SO) security refers to adversaries that receive a number of ciphertexts and, after having corrupted a subset of the senders (thus obtaining the plaintexts and the senders' random co...
Our second result is a public-key system tightly secure against ``selective opening'' attacks, where an attacker gets many challenges and can ask to see the random bits of any of them. Following the s...
We present a new method for building pairs of HFE polynomials of high degree, such that the map constructed with such a pair is easy to invert. The inversion is accomplished using a low degree polyn...
We present a lattice-based stateless signature scheme provably secure in the standard model. Our scheme has a constant number of matrices in the public key and a single lattice vector (plus a tag) in...
Injective one-way trapdoor functions are one of the most fundamental cryptographic primitives. In this work we show how to derandomize lossy encryption (with long messages) to obtain lossy trapdoor ...
We put forward a generalization of lossy trapdoor functions (LTFs). Namely, all-but-many lossy trapdoor functions (ABM-LTFs) are LTFs that are parametrized with tags. Each tag can either be injective ...
We provide the first constructions of identity-based (injective) trapdoor functions. Furthermore, they are lossy. Constructions are given both with pairings (DLIN) and lattices (LWE). Our lossy identi...
We put forward a generalization of lossy trapdoor functions (LTFs). Namely, all-but-many lossy trapdoor functions (ABM-LTFs) are LTFs that are parametrized with tags. Each tag can either be injective ...
We propose new and improved instantiations of lossy trapdoor functions (Peikert and Waters, STOC '08), and correlation-secure trapdoor functions (Rosen and Segev, TCC '09). Our constructions widen t...

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