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authorMarkus Teich <markus.teich@stusta.mhn.de>2016-10-15 20:31:37 +0200
committerMarkus Teich <markus.teich@stusta.mhn.de>2016-10-15 20:31:37 +0200
commit5d028cc81ef0635a9dbf57584a1ac0dd3bb3cfb2 (patch)
treee4e095720de2507e356f70261316add44b905bb2
parentca00e6ba8edc207aa4e296a796b9bc60ebc7c60f (diff)
downloadlibbrandt-5d028cc81ef0635a9dbf57584a1ac0dd3bb3cfb2.tar.gz
libbrandt-5d028cc81ef0635a9dbf57584a1ac0dd3bb3cfb2.zip
math.tex: fix M+1st private outcome function
-rw-r--r--tex-stuff/math.tex2
1 files changed, 1 insertions, 1 deletions
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
227is $5nk*32 = 160nk$ bytes large. 227is $5nk*32 = 160nk$ bytes large.
228 228
229$\forall i,j:$ Compute and publish \\[2.0ex] 229$\forall i,j:$ Compute and publish \\[2.0ex]
230$\gamma_{ij}^{\times a} = m_{ij}^{+a}\displaystyle\left(\sum_{h=1}^n\left(\sum_{d=j}^k\alpha_{hd}+\sum_{d=j+1}^k\alpha_{hd}\right)+\left(2M+2\right)\sum_{d=1}^{j}\alpha_{id} - \left(2M+1\right)Y \right)$ and \\[2.0ex] 230$\gamma_{ij}^{\times a} = m_{ij}^{+a}\displaystyle\left(\sum_{h=1}^n\left(\sum_{d=j}^k\alpha_{hd}+\sum_{d=j+1}^k\alpha_{hd}\right)+\left(2M+2\right)\sum_{d=1}^{j}\alpha_{id} - \left(2M+1\right)G \right)$ and \\[2.0ex]
231$\delta_{ij}^{\times a} = m_{ij}^{+a}\displaystyle\left(\sum_{h=1}^n\left(\sum_{d=j}^k \beta_{hd}+\sum_{d=j+1}^k \beta_{hd}\right)+\left(2M+2\right)\sum_{d=1}^{j} \beta_{id}\right)$ \\[2.0ex] 231$\delta_{ij}^{\times a} = m_{ij}^{+a}\displaystyle\left(\sum_{h=1}^n\left(\sum_{d=j}^k \beta_{hd}+\sum_{d=j+1}^k \beta_{hd}\right)+\left(2M+2\right)\sum_{d=1}^{j} \beta_{id}\right)$ \\[2.0ex]
232with a corresponding Proof 2 for $ECDL(\gamma_{ij}^{\times a}) = ECDL(\delta_{ij}^{\times a})$. 232with a corresponding Proof 2 for $ECDL(\gamma_{ij}^{\times a}) = ECDL(\delta_{ij}^{\times a})$.
233 233