Specify more precisely the requirements on Ed25519 public keys and signatures.

Signed-off-by: Daira Hopwood <daira@jacaranda.org>
This commit is contained in:
Daira Hopwood 2018-01-30 00:42:35 +00:00
parent 488195b804
commit 8356e7b3b0
1 changed files with 16 additions and 6 deletions

View File

@ -3099,10 +3099,18 @@ block.
$\JoinSplitSig$ is specified in \crossref{abstractsig}.
\changed{It is instantiated as $\JoinSplitSigSpecific$ \cite{BDL+2012},
with the additional requirement that $\EdDSAs$ (the integer represented
by $\EdDSAS$) must be less than the prime
$\ell = 2^{252} + 27742317777372353535851937790883648493$,
otherwise the signature is considered invalid.
with the additional requirements that:
\begin{itemize}
\item $\EdDSAS$ \MUST represent an integer less than
the prime $\ell = 2^{252} + 27742317777372353535851937790883648493$;
\item $\EdDSAR$ \MUST represent a point of order $\ell$ on the Ed25519 curve;
\end{itemize}
If these requirements are not met then the signature is considered invalid.
Note that it is \emph{not} required that the encoding of the y-coordinate
in $\EdDSAR$ is less than $2^{255}-19$.
$\JoinSplitSigSpecific$ is defined as using $\JoinSplitSigHashName$ internally.
}
@ -5282,6 +5290,8 @@ The errors in the proof of Ledger Indistinguishability mentioned in
\subparagraph{2018.0-beta-5}
\begin{itemize}
\item Specify more precisely the requirements on $\JoinSplitSigSpecific$
public keys and signatures.
\sapling{
\item{\Sapling work in progress.}
}
@ -5647,7 +5657,7 @@ The errors in the proof of Ledger Indistinguishability mentioned in
\printbibliography
\endgroup
%\notsprout{
\notsprout{
\introsection
\vspace{20ex}
@ -6102,6 +6112,6 @@ cryptanalytic attention to confidently use them for \Sapling.
\nsubsection{The SaplingOutput circuit} \label{cctsaplingoutput}
%} %notsprout
} %notsprout
\end{document}