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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. 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. 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. 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} \subsection{Adaptive Oblivious Transfer}