mirror of https://github.com/zcash/zips.git
Fix sign errors in the fixed-base terms of the batch validation equations in Appendices B.1 and B.3.
Signed-off-by: Daira Hopwood <daira@jacaranda.org>
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@ -10483,6 +10483,12 @@ Peter Newell's illustration of the Jubjub bird, from \cite{Carroll1902}.
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\sapling{
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\item Define \Sapling \notePlaintextLeadBytes as just bytes (so that decoding to a \notePlaintext
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always succeeds, and error handling is more explicit).
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\item Fix a sign error in the fixed-base term of the batch validation equation in
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\crossref{reddsabatchvalidate}.
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}
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\canopy{
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\item Fix a sign error in the fixed-base term of the batch validation equation in
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\crossref{ed25519batchvalidate}.
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}
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\end{itemize}
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@ -13339,11 +13345,11 @@ Define $\RedDSABatchValidate \typecolon (\Entry{\barerange{0}{N-1}} \typecolon \
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\vspace{1ex}
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\begin{itemize}
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\item for all $j \in \range{0}{N-1}$, $\RedDSASigR{j} \neq \bot$ and $\RedDSASigS{j} < \ParamG{r}$; and
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\item $\scalarmult{\ParamG{h}}{\Big(\Bigscalarmult{\ssum{j=0}{N-1}{(z_j \mult \RedDSASigS{j})
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\pmod{\ParamG{r}}}}{\GenG{}} +
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\ssum{j=0}{N-1}{\big(\scalarmult{z_j}{\RedDSASigR{j}} +
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\scalarmult{z_j \mult \RedDSASigc{j}
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\pmod{\ParamG{r}}}{\vk_j}\big)}\!\Big)}
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\item $\scalarmult{\ParamG{h}}{\Big(-\!\Bigscalarmult{\ssum{j=0}{N-1}{(z_j \mult \RedDSASigS{j})
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\pmod{\ParamG{r}}}}{\GenG{}} +
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= \ZeroG{}$,
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\end{itemize}
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\vspace{-1ex}
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@ -13523,8 +13529,8 @@ Define $\EdSpecificBatchValidate \typecolon (\Entry{\barerange{0}{N-1}} \typecol
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\vspace{1ex}
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\begin{itemize}
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\item for all $j \in \range{0}{N-1}$, $\EdDSASigR{j} \neq \bot$; and
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\item $\scalarmult{8}{\Big(\Bigscalarmult{\ssum{j=0}{N-1}{(z_j \mult \EdDSASigS{j})
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\pmod{\ell}}}{\EdDSABase} +
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\item $\scalarmult{8}{\Big(-\!\Bigscalarmult{\ssum{j=0}{N-1}{(z_j \mult \EdDSASigS{j})
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\pmod{\ell}}}{\EdDSABase} +
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\ssum{j=0}{N-1}{\big(\scalarmult{z_j}{\EdDSASigR{j}} +
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\scalarmult{z_j \mult \EdDSASigc{j}
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\pmod{\ell}}{\EdDSASigA{j}}\big)}\!\Big)}
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