diff --git a/protocol/protocol.tex b/protocol/protocol.tex index d5227fd8..ab75b6ef 100644 --- a/protocol/protocol.tex +++ b/protocol/protocol.tex @@ -9782,6 +9782,8 @@ Peter Newell's illustration of the Jubjub bird, from \cite{Carroll1902}. \item Minor changes to avoid clashing notation for Edwards curves $\Edwards{a,d}$, Montgomery curves $\Montgomery{A,B}$, and extractors $\Extractor{\Adversary}$. + \item Correct a use of $\GroupJ$ that should have been $\MontCurve$ in the proof of + \theoremref{thmdistinctxcriterion}. } %sapling \end{itemize} @@ -11323,7 +11325,7 @@ $P_1 = \scalarmult{k_1}{Q}$, there can be only one other point $-P_1$ with the same $x$-coordinate. (This follows from the fact that the curve equation determines $\pm y$ as a function of $x$.) But $-P_1 = \scalarmult{-1}{\scalarmult{k_1}{Q}} = \scalarmult{-k_1}{Q}$. -Since $\fun{k \typecolon \bigrange{-\halfs}{\halfs}}{\scalarmult{k}{Q} \typecolon \GroupJ}$ +Since $\fun{k \typecolon \bigrange{-\halfs}{\halfs}}{\scalarmult{k}{Q} \typecolon \MontCurve}$ is injective and $k_\barerange{1}{2}$ are in $\bigrange{-\halfs}{\halfs}$, then $k_2 = \pm k_1$ (contradiction). \end{proof}