In many private set operations, a set is represented by a polynomial over a ring Zσ for a composite integer σ, where Zσ is the message space of some additive homomorphic encryption. While it is useful for implementing set operations with polynomial additions and multiplications, a polynomial representation has a limitation due to the hardness of polynomial factorizations over Zσ. That is, it is...

We introduce cryptographic protocols for securely and efficiently computing the cardinality of set union intersection. Our private set-cardinality (PSC) are designed setting in which a large parties distributed system makes observations, small with more resources higher reliability aggregates observations. PSC allows secure useful statistics gathering privacy-preserving systems. For example, it...

There is a growing demand for sharing information across multiple autonomous and private databases. The problem is usually formulated as a secure multiparty computation problem where a set of parties wish to jointly compute a function of their private inputs such that the parties learn only the result of the function but nothing else. In this paper we analyze existing and potential solutions fo...

In the private matching problem, a client and a server each hold a set of n elements as their input. The client wants to privately compute the intersection of these two sets: the client learns the elements it has in common with server (and nothing more), while the server obtains no information at all. In certain applications it would be useful to have a private matching protocol that reports a ...

In this study, the ability of porous silicon nanoparticles (PSi NPs) to entrap and deliver nitric oxide (NO) as an effective antibacterial agent is tested against different Gram-positive and Gram-negative bacteria. NO was entrapped inside PSi NPs functionalized by means of the thermal hydrocarbonization (THC) process. Subsequent reduction of nitrite in the presence of d-glucose led to the produ...

We study J/psi production at RHIC and LHC energies with both initial production at energies reached and the BNL Relativistic Heavy Ion Collider (RHIC) and CERN Large Hadron Collider (LHC) with regeneration. We solve the coupled set of transport equations for the J/psi distribution in phase space and the hydrodynamic equation for evolution of quark-gluon plasma. At RHIC, continuous regeneration ...