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We consider the binary-LWE problem, which is the learning with errors problem when the entries of the secret vector are chosen from $\{ 0, 1\}$ or $\{ -1, 0, 1 \}$ (and the error vector is sampled fro...
We present a study of the concrete complexity of solving instances of the unique shortest vector problem (uSVP). In particular, we study the complexity of solving the Learning with Errors (LWE) proble...
A Toolkit for Ring-LWE Cryptography     lattices  ring-LWE       2014/3/13
Recent advances in lattice cryptography, mainly stemming from the development of ring-based primitives such as ring-$\lwe$, have made it possible to design cryptographic schemes whose efficiency is co...
In this paper we present the (to the best of our knowledge) first LWE-based encryption scheme that removes the need of Gaussian sampling for the error, i.e. the discrete Gaussian distribution is repla...
The Short Integer Solution (SIS) and Learning With Errors (LWE) problems are the foundations for countless applications in lattice-based cryptography, and are provably as hard as approximate lattice p...
We propose an $(n, m)$-computationally-private information retrieval (CPIR) protocol with rate $1 - o (1)$ and highly nontrivial (sublinear and data-dependent) server's computational complexity. For t...
We propose an $(n, m)$-computationally-private information retrieval (CPIR) protocol with rate $1 - o (1)$ and highly nontrivial (sublinear and data-dependent) server's computational complexity. For t...
We propose an $(n, m)$-computationally-private information retrieval (CPIR) protocol with rate $1 - o (1)$ and highly nontrivial (sublinear and data-dependent) server's computational complexity. For t...
We study under what conditions the conjectured one-wayness of the knapsack function (with polynomially bounded inputs) over an arbitrary finite abelian group implies that the output of the function is...
We present a fully homomorphic encryption scheme that is based solely on the (standard) learning with errors (LWE) assumption. Applying known results on LWE, the security of our scheme is based on the...
We present a fully homomorphic encryption scheme that is based solely on the (standard) learning with errors (LWE) assumption.
In this paper, we first introduce a new concept of approximate lattice problem (ALP), which is an extension of learning with errors (LWE). Next, we propose two ALP-based public key encryption schemes....
This paper constructs a new fully homomorphic encryption scheme by applying self-loop bootstrappable technique. The security of our scheme depends on the hardness of the decision problem of a hidden p...
We analyze the concrete security and key sizes of theoretically sound lattice-based encryption schemes based on the ``learning with errors'' (LWE) problem. Our main contributions are: (1)~a new lattic...
In this paper, we present a new algorithm, such that, for the learning with errors (LWE) problems, if the errors are bounded -- the errors do not span the whole prime finite field $F_q$ but a fixed kn...

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