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ZIP 226: use `\star` instead of `*` for bit representations. 

Signed-off-by: Daira-Emma Hopwood <daira@jacaranda.org>
This commit is contained in:
Daira-Emma Hopwood 2024-02-07 15:16:30 +00:00
parent a7a9c213db
commit 865469aadb
1 changed files with 2 additions and 2 deletions
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zip-0226.rst
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@ -102,7 +102,7 @@ where :math:`\mathbb{P}, \ell_{\mathbb{P}}, q_{\mathbb{P}}` are as defined for t
This note commitment scheme is instantiated using the Sinsemilla Commitment [#protocol-concretesinsemillacommit]_ as follows:
.. math:: \begin{align}
\mathsf{NoteCommit^{OrchardZSA}_{rcm}(g_{d}*, pk_{d}*, v, \rho, \psi, \mathsf{AssetBase})}
\mathsf{NoteCommit^{OrchardZSA}_{rcm}(g_{d}\star, pk_{d}\star, v, \rho, \psi, \mathsf{AssetBase})}
:=\begin{cases}
\mathsf{NoteCommit^{Orchard}_{rcm}(g_{d}\star, pk_{d}\star, v, \rho, \psi)}, &\text{if } \mathsf{AssetBase} = \mathcal{V}^{\mathsf{Orchard}} \\
\mathsf{cm}_{\mathsf{ZSA}} &\text{otherwise}
@ -113,7 +113,7 @@ where:
.. math:: \begin{align}
\mathsf{cm}_{\mathsf{ZSA}} :=&\ \mathsf{SinsemillaHashToPoint}( \texttt{"z.cash:ZSA-NoteCommit-M"}, \\
&\ \ \ \mathsf{g_{d}*} \,||\, \mathsf{pk_{d}*} \,||\, \mathsf{I2LEBSP_{64}(v)} \,||\, \mathsf{I2LEBSP}_{\ell^{\mathsf{Orchard}}_{\mathsf{base}}}(\rho) \,||\, \mathsf{I2LEBSP}_{\ell^{\mathsf{Orchard}}_{\mathsf{base}}}(\psi) \,||\, \mathsf{asset\_base}) \\
&\ \ \ \mathsf{g_{d}\star} \,||\, \mathsf{pk_{d}\star} \,||\, \mathsf{I2LEBSP_{64}(v)} \,||\, \mathsf{I2LEBSP}_{\ell^{\mathsf{Orchard}}_{\mathsf{base}}}(\rho) \,||\, \mathsf{I2LEBSP}_{\ell^{\mathsf{Orchard}}_{\mathsf{base}}}(\psi) \,||\, \mathsf{asset\_base}) \\
&\ + [\mathsf{rcm}] \mathsf{GroupHash}^{\mathbb{P}}(\texttt{"z.cash:Orchard-NoteCommit-r"},\texttt{""})
\end{align}