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Fabrice Mouhartem 2018-09-20 13:13:48 +02:00
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@ -181,7 +181,7 @@ Let us recall that, in Learning-With-Errors schemes, an encryption have the form
As group encryption requires this public-key $\mathbf{A}$ to be private, a way to achieve this is to have a zero-knowledge proof system which handles relations where the witness is multiplied with a private matrix.
We address this issue introducing new technique to handle this kind of relations.
These techniques, based on a \textit{divide-and-conquer} strategy, are described in~\cref{ch:ge-lwe}, as well as the construction of the group signature scheme proven fully-secure in the standard model.
These techniques, based on a \textit{divide-and-conquer} strategy, are described in~\cref{ch:ge-lwe}, as well as the construction of the group encryption scheme proven fully-secure in the standard model.
This work have been presented at Asiacrypt'16~\cite{LLM+16a} and have been done with Benoît Libert, San Ling, Khoa Nguyen and Huaxiong Wang.
\subsection{Adaptive Oblivious Transfer}