From 4227331eb4ce02c03fb9633471f76694dd12a8f9 Mon Sep 17 00:00:00 2001
From: Fabrice Mouhartem <fabrice.mouhartem@ens-lyon.org>
Date: Tue, 19 Jun 2018 14:46:41 +0200
Subject: [PATCH] Change order

---
 chap-sigmasig.tex | 22 +++++++++++++---------
 1 file changed, 13 insertions(+), 9 deletions(-)

diff --git a/chap-sigmasig.tex b/chap-sigmasig.tex
index de21cea..5d0c0af 100644
--- a/chap-sigmasig.tex
+++ b/chap-sigmasig.tex
@@ -1450,15 +1450,8 @@ number $\Ngs$ of group users (like \cite{BCN+10}).
 
 %On the other hand, the comparison of computational cost is not straightforward, as it is not clear if the computation of $e(x^\alpha, \hat x) \cdot e(y^\beta, \hat y)$ is easier than the computation
 
-\section{Experimental Results}
-\addcontentsline{tof}{section}{\protect\numberline{\thesection} Résultats expérimentaux}
-
-An implementation of the aforementioned group signature scheme has been made in \texttt{C} using the \textit{Relic toolkit} for pairing-based cryptography~\cite{AG} and is available at the following address:~\url{https://gforge.inria.fr/projects/sigmasig-c/}.
-
-The relic toolkit provides implementation for pairing computations, hash functions implementations (here SHA-256) as well as benchmarking macros.
-The benchmarking was made on a single-core of an \textit{Intel\textregistered{} Core\texttrademark{} i5-7500 CPU @ 3.40GHz} (Kaby Lake architecture) with 6MB of cache.
-To implement pairings, the relic library implements the Barreto-Naehrig~\cite{BN06} curve over a 256 bits curve.
-Figures are available in Table~\ref{ta:sigmasig-figures}.
+\subsection{Experimental Results}
+\addcontentsline{tof}{subsection}{\protect\numberline{\thesubsection} Résultats expérimentaux}
 
 \begin{table}
   \centering
@@ -1474,3 +1467,14 @@ Figures are available in Table~\ref{ta:sigmasig-figures}.
   \caption{Experimental results for the Pairing-Base group signature scheme}
   \label{ta:sigmasig-figures}
 \end{table}
+
+An implementation of the aforementioned group signature scheme has been made in \texttt{C} using the \textit{Relic toolkit} for pairing-based cryptography~\cite{AG} and is available at the following address:~\url{https://gforge.inria.fr/projects/sigmasig-c/}.
+
+The relic toolkit provides an implementation for pairing computations, hash functions (SHA-256 in this case) and benchmarking macros.
+The benchmarking was made on a single-core of an \textit{Intel\textregistered{} Core\texttrademark{} i5-7500 CPU @ 3.40GHz} (Kaby Lake architecture) with 6MB of cache.
+To implement pairings, the relic library implements the Barreto-Naehrig~\cite{BN06} curve over a 256 bits curve.
+As explained previously, since recent advances in pairing-friendly elliptic curve cryptanalysis, there is no curve anymore that shows the best timing results in every aspect.
+Figures are available in Table~\ref{ta:sigmasig-figures}.
+
+Unfortunately, we didn't have time to implement other protocols from~\cref{sig-comp} in order to present fair comparison.
+Moreover, those schemes hardly show implementation results, and providing timing comparisons seems compromised.