More on RSA-KTI
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@ -368,7 +368,7 @@
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}
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@inbook{RSA-HDF-KTIvCTI,
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@inbook{RSA-FDH-KTIvCTI,
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author="Bellare, Mihir and Namprempre, Chanathip and Pointcheval, David and Semanko, Michael",
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editor="Syverson, Paul",
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chapter="The Power of RSA Inversion Oracles and the Security of Chaum's RSA-Based Blind Signature Scheme",
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@ -509,7 +509,7 @@ financial reserve. In addition, Taler includes an \emph{auditor} who
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assures customers and merchants that the exchange operates correctly.
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%\vspace{-0.3cm}
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\subsection{Security considerations}
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\subsection{Security considerations}\label{subsec:security_rough}
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%\vspace{-0.3cm}
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As a payment system, Taler naturally needs to make sure that coins are
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@ -559,7 +559,7 @@ limiting the exchange's financial liability.
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On the cryptographic side, a Taler exchange demands that coins use a
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full domain hash (FDH) to make so-called ``one-more forgery'' attacks
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provably hard, assuming the RSA known-target inversion problem is
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hard~\cite[Theorem 12]{RSA-HDF-KTIvCTI}. For a withdrawn coin,
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hard~\cite[Theorem 12]{RSA-FDH-KTIvCTI}. For a withdrawn coin,
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violating the customers anonymity cryptographically requires recognizing
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a random blinding factor from a random element of the group of
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integers modulo the denomination key's RSA modulus, which appears
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@ -1466,6 +1466,14 @@ protocol is never used.
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\subsection{Exculpability arguments}
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In \S\ref{subsec:security_rough},
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we quoted \cite[Theorem 12]{RSA-FDH-KTIvCTI} that RSA-FDH blind
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signatures are secure against ``one-more forgery'' attacks, assuming
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the RSA known-target inversion problem is hard.
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We note as well that ``one-more forgery'' attacks cover both the
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refresh operation as well as the withdrawal operarion
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\cite[Definition 12]{RSA-FDH-KTIvCTI,OneMoreInversion}.
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\begin{lemma}\label{lemma:double-spending}
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The exchange can detect, prevent, and prove double-spending.
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\end{lemma}
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