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A Framework for UC-Secure Commitments from Publicly Computable Smooth Projective Hashing
UC commitment smooth projective hash function SPHF
2019/9/23
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...
Founding Cryptography on Smooth Projective Hashing
oblivious transfer secure multiparty computation malicious adversaries
2018/5/16
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...
Cryptographic Reverse Firewall via Malleable Smooth Projective Hash Functions
Cryptographic reverse firewall malleable smooth projective hash function oblivious signature-based envelope
2016/12/9
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...
ANIMATION STRATEGIES FOR SMOOTH TRANSFORMATIONS BETWEEN DISCRETE LODS OF 3D BUILDING MODELS
Building 3D Multiple Representations
2016/7/8
The cartographic 3D visualization of urban areas has experienced tremendous progress over the last years. An increasing number of applications operate interactively in real-time and thus require advan...
Adversary-dependent Lossy Trapdoor Function from Hardness of Factoring Semi-smooth RSA Subgroup Moduli
factoring assumption semi-smooth RSA subgroup modulus lossy trapdoor function
2016/6/6
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...
Probability that the k-gcd of products of positive integers is B-smooth
gcd of products of positive integers B-smooth k-gcd
2016/4/7
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...
Smooth NIZK Arguments with Applications to Asymmetric UC-PAKE
UC-PAKE bilinear pairings SXDH
2016/3/4
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...
Distributed Smooth Projective Hashing and its Application to Two-Server PAKE
Smooth Projective Hash Functions Two-Server PAKE
2016/1/9
Smooth projective hash functions have been used as building block for various cryptographic
applications, in particular for password-based authentication.
A Comprehensive Comparison of Shannon Entropy and Smooth Renyi Entropy
Entropy Estimators Smooth Entropy Randomness Extractors
2016/1/5
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...
KDM-Security via Homomorphic Smooth Projective Hashing
public-key cryptography Homomorphic Smooth Projective Hashing
2015/12/24
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...
SURFACE GROUP REPRESENTATIONS TO SL(2, C) AND HIGGS BUNDLES WITH SMOOTH SPECTRAL DATA
SURFACE GROUP SL(2, C) HIGGS BUNDLES SPECTRAL DATA
2015/12/17
We show that for every nonelementary representation of a surface group into SL(2, C) there is a Riemann surface structure such that the Higgs bundle associated to the representation lies outside the d...
On representation varieties of Artin groups,projective arrangements and the fundamental groups of smooth complex algebraic varieties
Artin groups,projective arrangements fundamental groups smooth complex algebraic varieties
2015/10/14
On representation varieties of Artin groups,projective arrangements and the fundamental groups of smooth complex algebraic varieties.
We review several recent results showing that small piecewise smooth perturbations of integrable systems may exhibit unstable behavior on the set of initial condition
of large measure. We also presen...