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Hash proof systems or smooth projective hash functions (SPHFs) have been proposed by Cramer and Shoup (Eurocrypt'02) and can be seen as special type of zero-knowledge proof system for a language. Whil...
Oblivious transfer is an important tool against malicious cloud server providers. Halevi-Kalai OT, which is based on smooth projective hash(SPH), is a famous and the most efficient framework for 11-ou...
Oblivious transfer (OT) is a fundamental primitive in cryptography. Halevi-Kalai OT (Halevi, S. and Y. Kalai (2012), Journal of Cryptology 25(1)), which is based on smooth projective hash(SPH), is a f...
Motivated by the revelations of Edward Snowden, post-Snowden cryptography has become a prominent research direction in recent years. In Eurocrypt 2015, Mironov and Stephens-Davidowitz proposed a novel...
Lossy trapdoor functions (LTDFs), proposed by Peikert and Waters (STOC'08), are known to have a number of applications in cryptography. They have been constructed based on various assumptions, which i...
In 1849, Dirichlet[5] proved that the probability that two positive integers are relatively prime is 1/zeta(2). Later, it was generalized into the case that positive integers has no nontrivial kth pow...
Smooth projective hashing has proven to be an extremely useful primitive, in particular when used in conjunction with commitments to provide implicit decommitment. This has lead to applications pro...
We introduce a novel notion of smooth (-verifier) non- interactive zero-knowledge proofs (NIZK) which parallel the familiar notion of smooth projective hash functions (SPHF). We also show that the r...
Smooth projective hash functions have been used as building block for various cryptographic applications, in particular for password-based authentication.
We provide a new result that links two crucial entropy notions: Shannon entropy H1 and collision entropy H2. Our formula gives the \emph{worst possible} amount of collision entropy in a probability di...
We present new frameworks for constructing public-key encryption schemes satisfying key-dependent message (KDM) security and that yield efficient, universally composable oblivious transfer (OT) proto...
Smooth Projective Hash Functions are one of the base tools to build interactive protocols; and this notion has lead to the construction of numerous protocols enjoying strong security notions, such as ...
Katz and Vaikuntanathan recently improved smooth projective hash functions in order to build one-round password-authenticated key exchange protocols (PAKE). To achieve security in the UC framework the...
Password-Authenticated Key Exchange (PAKE) has received deep attention in the last few years, with a recent improvement by Katz-Vaikuntanathan, and their one-round protocols: the two players just have...
We present a general framework for constructing two-message oblivious transfer protocols using a modification of Cramer and Shoup’s notion of smooth projective hashing (2002). This framework is an a...

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