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[freehaven-cvs] put in the three topology figures, side by side



Update of /home/freehaven/cvsroot/doc/sync-batching
In directory moria.mit.edu:/home2/arma/work/freehaven/doc/sync-batching

Modified Files:
	sync-batching.tex 
Added Files:
	casc-2x2.eps casc-2x2.fig casc-2x2.pdf free-4x2.eps 
	free-4x2.fig free-4x2.pdf sa-2x2.eps sa-2x2.fig sa-2x2.pdf 
Log Message:
put in the three topology figures, side by side


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--- NEW FILE: free-4x2.fig ---
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--- NEW FILE: sa-2x2.fig ---
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1 3 0 1 0 7 50 0 -1 0.000 1 0.0000 1200 600 300 300 1200 600 1500 600
1 3 0 1 0 7 50 0 -1 0.000 1 0.0000 2100 600 300 300 2100 600 2400 600
2 1 0 1 0 7 50 0 -1 0.000 0 0 -1 1 0 2
	0 0 1.00 60.00 120.00
	 1500 600 1800 600
2 1 0 1 0 7 50 0 -1 0.000 0 0 -1 1 0 2
	0 0 1.00 60.00 120.00
	 1500 1500 1800 1500
2 1 0 1 0 7 50 0 -1 0.000 0 0 -1 0 0 2
	 600 600 900 600
2 1 0 1 0 7 50 0 -1 0.000 0 0 -1 1 0 2
	0 0 1.00 60.00 120.00
	 600 600 900 600
2 1 0 1 0 7 50 0 -1 0.000 0 0 -1 0 0 2
	 600 1500 900 1500
2 1 0 1 0 7 50 0 -1 0.000 0 0 -1 1 0 2
	0 0 1.00 60.00 120.00
	 600 1500 900 1500
3 0 0 1 0 7 50 0 -1 0.000 0 0 0 2
	 1500 1500 1800 1500
	 0.000 0.000
3 0 0 1 0 7 50 -1 -1 0.000 0 1 0 2
	0 0 1.00 60.00 120.00
	 2400 600 2700 450
	 0.000 0.000
3 0 0 1 0 7 50 -1 -1 0.000 0 1 0 2
	0 0 1.00 60.00 120.00
	 2400 600 2700 600
	 0.000 0.000
3 0 0 1 0 7 50 -1 -1 0.000 0 1 0 2
	0 0 1.00 60.00 120.00
	 2400 600 2700 750
	 0.000 0.000
3 0 0 1 0 7 50 -1 -1 0.000 0 1 0 2
	0 0 1.00 60.00 120.00
	 2400 1500 2700 1350
	 0.000 0.000
3 0 0 1 0 7 50 -1 -1 0.000 0 1 0 2
	0 0 1.00 60.00 120.00
	 2400 1500 2700 1500
	 0.000 0.000
3 0 0 1 0 7 50 -1 -1 0.000 0 1 0 2
	0 0 1.00 60.00 120.00
	 2400 1500 2700 1650
	 0.000 0.000
3 0 0 1 0 7 50 -1 -1 0.000 0 1 0 2
	0 0 1.00 60.00 120.00
	 600 1650 900 1500
	 0.000 0.000
3 0 0 1 0 7 50 -1 -1 0.000 0 1 0 2
	0 0 1.00 60.00 120.00
	 600 1350 900 1500
	 0.000 0.000
3 0 0 1 0 7 50 -1 -1 0.000 0 1 0 2
	0 0 1.00 60.00 120.00
	 600 450 900 600
	 0.000 0.000
3 0 0 1 0 7 50 -1 -1 0.000 0 1 0 2
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	0 0 1.00 60.00 120.00
	 1500 600 1800 1500
	 0.000 0.000
4 1 0 50 -1 0 16 0.0000 4 165 180 1200 675 A\001
4 1 0 50 -1 0 16 0.0000 4 165 165 1200 1575 B\001
4 1 0 50 -1 0 16 0.0000 4 165 180 2100 1575 D\001
4 1 0 50 -1 0 16 0.0000 4 165 165 2100 675 C\001

--- NEW FILE: sa-2x2.pdf ---
(This appears to be a binary file; contents omitted.)

Index: sync-batching.tex
===================================================================
RCS file: /home/freehaven/cvsroot/doc/sync-batching/sync-batching.tex,v
retrieving revision 1.6
retrieving revision 1.7
diff -u -d -r1.6 -r1.7
--- sync-batching.tex	20 Jan 2004 09:36:01 -0000	1.6
+++ sync-batching.tex	20 Jan 2004 19:31:25 -0000	1.7
@@ -3,6 +3,7 @@
 
 \usepackage{url}
 \usepackage{amsmath}
+\usepackage{epsfig}
 
 \renewcommand\url{\begingroup \def\UrlLeft{<}\def\UrlRight{>}\urlstyle{tt}\Url}
 \newcommand\emailaddr{\begingroup \def\UrlLeft{<}\def\UrlRight{>}\urlstyle{tt}\Url}
@@ -17,7 +18,8 @@
     }}{\end{list}}
 
 \begin{document}
-\title{Improved Anonymity from Synchronous Batching}
+%\title{Improved Anonymity from Synchronous Batching}
+\title{Synchronous Batching in Mix Networks}
 % need a better title
 
 \author{Roger Dingledine\inst{1} and Vitaly Shmatikov\inst{2} and Paul Syverson\inst{3}}
@@ -148,9 +150,9 @@
 Typically we would have $t_\mathrm{hop} < t_\mathrm{batch}/\ell$, so the
 latency is at most $2t_\mathrm{batch}$, independent of the path length.
 
-[Or for free-route topology, we could let t_hop be t_batch, and now
-it takes \ell batch times to go through, but it mixes with the other
-batches.]
+%[Or for free-route topology, we could let t_hop be t_batch, and now
+%it takes \ell batch times to go through, but it mixes with the other
+%batches.]
 
 Let $T_\mathrm{batch}$ be the expected throughput in a single batch period,
 i.e.~the number of messages that go through the network in a batch.
@@ -195,12 +197,13 @@
 no reason why we couldn't too, really.]
 
 Possible extension: for the purpose of discussion, let's use
-t_batch = 3 hours and t_hop = 1 hour / n. Then the latency is between
+$t_\mathrm{batch}$ = 3 hours and $t_\mathrm{hop}$ = 1 hour / n. Then
+the latency is between
 1 and 4 hours, and the anonymity set is the set of messages sent in a
 3 hour period.
 
 We can improve this by having a "delay until next batch" option in
-the message subheader; that would delay the message by t_batch and
+the message subheader; that would delay the message by $t_\mathrm{batch}$ and
 re-introduce it at the same point in the path. If each message is either
 delayed once or not delayed, that gives us a latency of 1 to 4 hours for
 non-delayed messages, 4 to 7 hours for delayed messages, and a 6-hour
@@ -216,12 +219,14 @@
 more interesting. -RD]
 
 A generalisation of this is a "source-timed" network: use the timing model
-from \cite{mix-acc} (with or without receipts), where t_hop corresponds
+from \cite{mix-acc} (with or without receipts), where $t_\mathrm{hop}$
+corresponds
 to one time unit, but in each subheader specify "drop if not received in
 period t1" and "send in period t2".
 
-Even more general would be "drop if not received between t1_start and
-t1_end" and "send between t2_start and t2_end, chosen uniformly at random".
+Even more general would be "drop if not received between $t1_\mathrm{start}$ and
+$t1_\mathrm{end}$" and "send between $t2_\mathrm{start}$ and
+$t2_\mathrm{end}$, chosen uniformly at random".
 This can support almost all batching designs.
 
 
@@ -265,19 +270,34 @@
 \subsection{Scenario 1: network of cascades}
 walk us through calculating entropy for a 2x2 cascade network.
 
-give us a figure of this topology.
+\begin{figure}
+\begin{minipage}[t]{3.5cm}
+\mbox{\epsfig{angle=0,figure=casc-2x2,width=3.5cm}}
+\caption{A 2x2 cascade mix network (4 nodes)}
+\label{fig:casc-2x2}
+\end{minipage}
+\hfill
+\begin{minipage}[t]{3.5cm}
+\mbox{\epsfig{angle=0,figure=sa-2x2,width=3.5cm}}
+\caption{A 2x2 systolic array (4 nodes)}
+\label{fig:sa-2x2}
+\end{minipage}
+\hfill
+\begin{minipage}[t]{3.5cm}
+\mbox{\epsfig{angle=0,figure=free-4x2,width=3.5cm}}
+\caption{A 4x2 free-route mix network (4 nodes)}
+\label{fig:free-4x2}
+\end{minipage}
+\hfill
+\end{figure}
 
 \subsection{Scenario 2: systolic array}
 walk us through calculating entropy for a 2x2 matrix (4 nodes)
 
-give us a figure of this topology.
-
 \subsection{Scenario 3: free-route}
 walk us through calculating entropy for a 4x2 free-route (4 nodes)
 point out that we could use 16x4 for a fair comparison, or we could
-use 16x\ell to get more or less anonymity.
-
-give us a figure of this topology.
+use $16 \times \ell$ to get more or less anonymity.
 
 \subsection{further Assumptions}
 also discuss how scenario 3 makes a different assumption about the
@@ -299,7 +319,7 @@
 
 \section{Other considerations}
 
-\subsection{
+\subsection{Allow loops?}
 scenario 3b: practical free-route but message never stays at the same
 hop adjacently. this is better for high-adversary-percentage, worse
 for low-adversary-percentage? or always better?
@@ -347,7 +367,7 @@
 
 I just reread George's paper, particularly section 5.1. I think he has
 the beginnings of a solution there.
-http://freehaven.net/anonbib/#danezis:pet2003
+% http://freehaven.net/anonbib/#danezis:pet2003
 
 
 \subsection{Blending and flooding attacks}
@@ -368,7 +388,7 @@
 of the incoming batch doesn't matter as much anymore.
 
 reputation systems a la mix-acc and casc-rep make people prefer one
-node over another, _throughout_ the mix network, not just at entries or
+node over another, \emph{throughout} the mix network, not just at entries or
 exits. but we have to tolerate this sort of thing. one approach would be
 to put like-reputationed nodes in the same column of the SA or in the same
 row of the cascade \cite{casc-rep}, so distribution (at each hop or in each
@@ -391,7 +411,7 @@
 
 Possible extension: Note that synchronous batching does not necessarily
 mean a "one latency fits all" approach. People who want a larger anonymity
-set can agree to send their messages only at intervals of k*t_batch,
+set can agree to send their messages only at intervals of $k*t_\mathrm{batch}$,
 so those batches will have more messages (but at the expense of the
 other batches).
 

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