We show that homomorphic evaluation of (wide enough) arithmetic circuits can be accomplished with only polylogarithmic overhead. Namely, we present a construction of fully homomorp...
We investigate fast algorithms for changing between the standard basis and an orthogonal basis of idempotents for M¨obius algebras of finite lattices. We show that every lattice...
We propose a general multiparty computation protocol secure against an active adversary corrupting up to n−1 of the n players. The protocol may be used to compute securely arithm...
While extensive work has been done on evaluating queries over tuple-independent probabilistic databases, query evaluation over correlated data has received much less attention eve...
We present a radically new approach to fully homomorphic encryption (FHE) that dramatically improves performance and bases security on weaker assumptions. A central conceptual con...
An additively-homomorphic encryption scheme enables us to compute linear functions of an encrypted input by manipulating only the ciphertexts. We define the relaxed notion of a se...
Abstract--In this paper, we present an efficient graph-based evolutionary optimization technique called evolutionary graph generation (EGG) and the proposed approach is applied to ...
In their paper on the "chasm at depth four", Agrawal and Vinay have shown that polynomials in m variables of degree O(m) which admit arithmetic circuits of size 2o(m) al...
Abstract: Functions that map boolean vectors into the integers are important for the design and verication of arithmetic circuits. MTBDDs and BMDs have been proposed for represent...
We propose a new arithmetic reasoning calculus to speed up a SAT solver based on the Davis Putnam Longman Loveland (DPLL) procedure. It is based on an arithmetic bit level descrip...