minor

ACNS/live_presentation/generalsss.tex

@@ -10,7 +10,7 @@
 %\end{frame}
 
 \begin{frame}
-	\frametitle{Examples}
+	\frametitle{Compatible and Incompatible Secret Sharing Schemes}
 	\begin{itemize}
 		\item Shamir's polynomial secret sharing: compatible (our protocol was initially based on it)
 		\item Tassa's hierarchical threshold secret sharing \cite{DBLP:conf/tcc/Tassa04}: compatible (extension of Shamir's approach)

ACNS/live_presentation/motivation.tex

 \section{Motivation}
 
-\begin{frame}[allowframebreaks]
+\begin{frame}%[allowframebreaks]
 	\frametitle{Where are we?}
-	\begin{block}{Hard Homogeneous Spaces (Couveignes \cite{DBLP:journals/iacr/Couveignes06})}
+	\begin{block}{Hard Homogeneous Spaces (Couveignes, 2006 \cite{DBLP:journals/iacr/Couveignes06})}
 		A hard homogeneous space \(\left(\mathcal E,\mathcal G\right)\) is
 		\begin{itemize}
 			\item a set \(\mathcal E\),
 			\item a group \(\left(\mathcal G,\odot\right)\) and
-			\item an action \(\ast: \mathcal G\times \mathcal E \to \mathcal E\)
+			\item an action \(\ast: \mathcal G\times \mathcal E \to \mathcal E\); 
+				\[ \left[s\right] E := g^s E\]
+				for fixed \(g\in \mathcal G\), \(s \in \ZZ_p\).
 		\end{itemize}
 	\end{block}