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The contribution vector (convec) of a secret sharing scheme is the vector of all share sizes divided by the secret size. A measure on the convec (e.g., its maximum or average) is considered as a crite...
A universal circuit (UC) is a general-purpose circuit that can simulate arbitrary circuits (up to a certain size nn). At STOC 1976 Valiant presented a graph theoretic approach to the construction of U...
Oblivious RAM (ORAM), introduced by Goldreich and Ostrovsky (JACM 1996), can be used to read and write to memory in a way that hides which locations are being accessed. The best known ORAM schemes hav...
Order-preserving encryption emerged as a key ingredient underlying the security of practical database management systems. Boldyreva et al. (EUROCRYPT '09) initiated the study of its security by introd...
An Oblivious RAM (ORAM) introduced by Goldreich and Ostrovsky [JACM'96] is a (possibly randomized) RAM, for which the memory access pattern reveals no information about the operations performed. The m...
Our conjecture emerges after introducing the notion of convec set for an access structure, a subset of nn-dimensional real space. We prove several topological properties about convec sets and raise se...
We consider a recent security definition of Chenette, Lewi, Weis, and Wu for order-revealing encryption (ORE) and order-preserving encryption (OPE) (FSE 2016). Their definition says that the compariso...
At EUROCRYPT 2015, Zahur et al.\ argued that all linear, and thus, efficient, garbling schemes need at least two kk-bit elements to garble an AND gate with security parameter kk. We show how to circum...
In this paper, we improve the lower bound on the maximum nonlinearity of 1- resilient Boolean functions, for n even, by proposing a method of constructing this class of functions attaining the best ...
We prove that any algorithm for learning parities requires either a memory of quadratic size or an exponential number of samples. This proves a recent conjecture of Steinhardt, Valiant and Wager [SV...
We propose a new tree-based ORAM scheme called Circuit ORAM. Circuit ORAM makes both theoretical and practical contributions. From a theoretical perspective, Circuit ORAM shows that the well-known G...
An Oblivious RAM (ORAM), introduced by Goldreich and Ostrovsky (JACM 1996), is a (probabilistic) RAM that hides its access pattern, i.e. for every input the observed locations accessed are similarly...
this paper we find the lower bound of second-order nonlinearity of Boolean function $f_{\lambda}(x) = Tr_{1}^{n}(\lambda x^{p})$ with $p = 2^{2r} + 2^{r} + 1$, $\lambda \in \mathbb{F}_{2^{r}}^{*}$ and...
The lower bound on the number of n-variable balanced symmetric functions over finite fields GF(p) presented in [1] is improved in this paper.
We extend the lower bound, obtained by M. Lobanov, on the first order nonlinearity of functions with given algebraic immunity, into a bound on the higher order nonlinearities.

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