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Fixed typos #15

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Fixed typos #15

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4 changes: 2 additions & 2 deletions content/advancedSchnorr.tex
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Expand Up @@ -128,7 +128,7 @@ \subsection*{Verification}

\subsection*{Why it works}

We can informally convince ourselves the algorithm works by going through an example. Consider ring $R = \{K_1, K_2, K_3\}$ with $k_\pi = k_2$. First the signature:
We can informally convince ourselves the algorithm works by going through an example. Consider ring $\mathcal{R} = \{K_1, K_2, K_3\}$ with $k_\pi = k_2$. First the signature:
\begin{enumerate}
\item Generate random numbers: $\alpha$, $r_1$, $r_3$
\begin{align*}
Expand Down Expand Up @@ -376,7 +376,7 @@ \subsection*{Verification}
\end{align*}{}

\item For \(i = 1, ..., n\) compute, replacing \(n + 1 \rightarrow 1\),\vspace{.175cm}
\[c_{i+1} = \mathcal{H}_n(T_c, \mathcal{R}, \mathfrak{m}, [r_i G + c_i W_i], [r_{i} \mathcal{H}_p(K_{i,1}) + c_i \tilde{W}])\]
\[c'_{i+1} = \mathcal{H}_n(T_c, \mathcal{R}, \mathfrak{m}, [r_i G + c_i W_i], [r_{i} \mathcal{H}_p(K_{i,1}) + c_i \tilde{W}])\]

\item If \(c_1 = c'_1\) then the signature is valid.
\end{enumerate}
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