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1 parent 2c579ba commit 886a383Copy full SHA for 886a383
1 file changed
overview/overview-content.tex
@@ -746,14 +746,14 @@ \subsection{Digital Signatures}
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\begin{itemize}
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\item \framebox{Alice} chooses random \(0 < y < |\Z_p^*|\) and computes
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\(r = g^y\in \Z_p^*\).
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- \item She computes \framebox{\(s = (h(m) - xr)\pmod{|\Z_p^*|}\).}
+ \item She computes \framebox{\(s = (h(m) - xr) y^{-1} \pmod{|\Z_p^*|}\).}
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\item She sends \((r, s)\) to Bob.
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\end{itemize}
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Verification:
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\item \framebox{Bob checks if \(g^{h(m)} \stackrel{?}{=}_{\Z_p^*} (g^x)^r
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r^s\)}\( =_{\Z_p^*}
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- (g^x)^{g^y} (g^y)^{h(m) - xg^y} =_{\Z_p^*}
+ (g^x)^{g^y} (g^y)^{(h(m) - xg^y)y^{-1}} =_{\Z_p^*}
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g^{xg^y + h(m) - xg^y}\)
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\end{definition}
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