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math.tex: fix index for additional ZKP on M+1st price auctions

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Markus Teich 2016-10-09 14:34:15 +02:00
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tex-stuff/math.tex
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@ -153,7 +153,7 @@ TODO
\subsubsection{Addition to Round 1: Encrypt bid} \subsubsection{Addition to Round 1: Encrypt bid}
The Bidders also have to use Proof 2 to show that $ ECDL_Y\left(\left(\sum_{j=1}^k\alpha_{a,jn+a}\right) - G\right) = ECDL_G\left(\sum_{j=1}^k\beta_{a,jn+a}\right)$. The Bidders also have to use Proof 2 to show that $ ECDL_Y\left(\left(\sum_{j=1}^{k/n}\alpha_{a,jn+a}\right) - G\right) = ECDL_G\left(\sum_{j=1}^{k/n}\beta_{a,jn+a}\right)$.
This is to ensure bidders have only chosen valid bids for their bid index, since This is to ensure bidders have only chosen valid bids for their bid index, since
in M+1st price auctions the amount of possible prices is multiplied by $n$ to in M+1st price auctions the amount of possible prices is multiplied by $n$ to
prevent ties. This increases the message size by $96$ bytes. prevent ties. This increases the message size by $96$ bytes.