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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...
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 ...
Identity-Based (Lossy) Trapdoor Functions and Applications     Identity-based encryption  pairings  lattices  lossiness       font style='font-size:12px;'> 2012/3/26
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 ...
Lossy Trapdoor Functions (LTDFs), introduced by Peikert and Waters (STOC 2008) have been useful for building many cryptographic primitives. In particular, by using an LTDF that loses a (1 􀀀...
Lossy trapdoor functions (Peikert and Waters, STOC '08) are an intriguing and powerful cryptographic primitive. Their main applications are simple and black-box constructions of chosen-ciphertext se...
Lossy Trapdoor Functions and Their Applications      Lossy  Trapdoor Functions  Applications        font style='font-size:12px;'> 2008/8/15
We propose a new general primitive called lossy trapdoor functions (lossy TDFs), and realize it under a variety of different number theoretic assumptions, including hardness of the decisional Diffie-...

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