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Fabrice Mouhartem
2018-04-30 14:54:55 +02:00
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chap-proofs.tex
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@ -281,6 +281,7 @@ This security notion illustrates that no malicious collusions of users and the a
The security definition of $\indcpa$ is defined as an indistinguishability game.
The first security definition for $\PKE$ was although a simulation-based definition~\cite{GM84}.
In this context, instead of distinguishing between two messages, the goal is to distinguish between two different environments.
\index{Universal Composability}
In the following we will use the \emph{Real world}/\emph{Ideal world} paradigm~\cite{Can01} to describe those different environments.
Namely, for $\PKE$, it means that for any $\ppt$ adversary~$\widehat{\adv}$ --\,in the \emph{Real world}\,-- that interacts with a challenger $\cdv$
there exists a $\ppt$ \emph{simulator} $\widehat{\adv}'$ --\,in the \emph{Ideal world}\,-- that interacts with the same challenger $\cdv'$ with the difference that the functionality $F$ is replaced by a trusted third party in the \emph{Ideal word}.