[freehaven-cvs] ok, i"ve done everything i can do for it.

[arma@xxxxxxxx]

Update of /home/freehaven/cvsroot/doc/alpha-mixing
In directory moria:/home/arma/work/freehaven/doc/alpha-mixing

Modified Files:
	alpha-mixing.tex 
Added Files:
	alpha-mixing.pdf 
Log Message:
ok, i've done everything i can do for it.


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Index: alpha-mixing.tex
===================================================================
RCS file: /home/freehaven/cvsroot/doc/alpha-mixing/alpha-mixing.tex,v
retrieving revision 1.32
retrieving revision 1.33
diff -u -d -r1.32 -r1.33
--- alpha-mixing.tex	11 Mar 2006 06:06:38 -0000	1.32
+++ alpha-mixing.tex	11 Mar 2006 06:29:08 -0000	1.33
@@ -261,9 +261,14 @@
   $k_{M'}$ increases.
 \end{claim}
 
+The key is not that a high $\alpha$ necessarily provides better security,
+but rather that when the variance of our $\alpha$ is high, its value
+within the range is hard for the attacker to predict.
+
 In summary, for threshold mixes or steady-state timed mixes, choosing
 $\alpha$ from a broader range improves the anonymity for that message
-whether the adversary knows one's strategy or not.  And, if the
+whether the adversary knows one's strategy or not.
+Further, if the
 adversary knows nothing about the strategies of choosing alphas or
 knows simply the distribution of strategies, then increasing the
 $\alpha$-range for any message improves anonymity for all messages.
@@ -711,7 +716,7 @@
 of deterministically decreasing by one after each mix firing, there is
 a probabilistic function $f$ that dictates how they decrement:\\
 $\alpha_{M,i+1} = f(\alpha_{M,i}, \mathit{Pool}(\alpha_{M,i}))$
-where
+where \\
 $\mathit{Pool}(\alpha_{M,i}) = | \{M' : 1 \leq \alpha_{M',i-1} \leq
 \alpha_{M',i-1} \} | $
 
@@ -781,6 +786,7 @@
 choose to get higher anonymity for their messages, the key property it
 provides is a network effect: when \emph{some} users ask for higher
 anonymity, \emph{all} users can benefit.
+
 While we proved anonymity properties for the simplest versions of
 alpha mixing,
 we have only begun to explore the possibilities and analysis of this
@@ -931,7 +937,7 @@
 %\cite{Serj02,trickle02}. For instance, if the users draw $\alpha$ from a
 %geometric distribution and this is known to the attacker, with
 %parameter $p$ (i.e. the probability of $\alpha=0,1,2,\ldots$ is $q,
-%pq, ppq, \ldots$) then the anonymity of the threshold alpha mix is
+%pq, ppq, \ldots$), then the anonymity of the threshold alpha mix is
 %simply equivalent to a threshold pool mix with a pool/(threshold +
 %pool) = $p$. Curiously, if the attacker knows nothing about the
 %distribution of $\alpha$, he may still perform a similar analysis

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