From 5d028cc81ef0635a9dbf57584a1ac0dd3bb3cfb2 Mon Sep 17 00:00:00 2001 From: Markus Teich Date: Sat, 15 Oct 2016 20:31:37 +0200 Subject: [PATCH] math.tex: fix M+1st private outcome function --- tex-stuff/math.tex | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/tex-stuff/math.tex b/tex-stuff/math.tex index 60568cf..929d658 100644 --- a/tex-stuff/math.tex +++ b/tex-stuff/math.tex @@ -227,7 +227,7 @@ The message has $nk$ parts, each consisting of $5$ Points. Therefore the message is $5nk*32 = 160nk$ bytes large. $\forall i,j:$ Compute and publish \\[2.0ex] -$\gamma_{ij}^{\times a} = m_{ij}^{+a}\displaystyle\left(\sum_{h=1}^n\left(\sum_{d=j}^k\alpha_{hd}+\sum_{d=j+1}^k\alpha_{hd}\right)+\left(2M+2\right)\sum_{d=1}^{j}\alpha_{id} - \left(2M+1\right)Y \right)$ and \\[2.0ex] +$\gamma_{ij}^{\times a} = m_{ij}^{+a}\displaystyle\left(\sum_{h=1}^n\left(\sum_{d=j}^k\alpha_{hd}+\sum_{d=j+1}^k\alpha_{hd}\right)+\left(2M+2\right)\sum_{d=1}^{j}\alpha_{id} - \left(2M+1\right)G \right)$ and \\[2.0ex] $\delta_{ij}^{\times a} = m_{ij}^{+a}\displaystyle\left(\sum_{h=1}^n\left(\sum_{d=j}^k \beta_{hd}+\sum_{d=j+1}^k \beta_{hd}\right)+\left(2M+2\right)\sum_{d=1}^{j} \beta_{id}\right)$ \\[2.0ex] with a corresponding Proof 2 for $ECDL(\gamma_{ij}^{\times a}) = ECDL(\delta_{ij}^{\times a})$.