I have to solve the following problem and I am trying to do it since
more then two weeks, but I have no idea how to solve it. It is an
assignment for my study and I have to hand in tomorrow, unfortunately I
am not able to solve it.
So my question, can somebody help me? with some good hints or solutions?
Here is the question:
\textbf{13.10 (Probabilistic full domain hash).} Consider the following
signature scheme $\mathcal{S} = (G,S,V)$ with the message space
$\mathcal{M}$, and using a hash function $H: \mathcal{M} \times
\mathcal{R} \rightarrow \mathbb{Z}_n$:
\begin{equation}
\begin{split}
G():= \{(n,d) \xleftarrow[]{R} RSAGen(\ell,e), \quad pk:=(n,e), \quad
sk:=(n,d), \quad output (pk,sk)\};\\
S(sk,m) := \{r \xleftarrow[]{R} \mathcal{R}, \quad y \leftarrow H(m,r),
\quad \sigma \leftarrow y^d \in \mathbb{Z}_n, \quad output (\sigma,
r)\};\\
V(pk,m,(\sigma,r)) := \{y \leftarrow H(m,r), \quad accept \; if \; y =
\sigma^e \; and \; reject \; otherwise \}.
\end{split}
\end{equation}
Show that this signature is secure if the RSA assumption holds for
$(\ell,e)$, the quantity $1/|\mathcal{R}|$ is negligible, and H is
modeled as a random oracle. Moreover, the reduction to inverting RSA is
tight.\\
\textbf{Disscusion:} While $\Sm'_{RSA-FDH}$, from Section 13.5, also has
a tight reduction, the construction here does not use a PRF. The cost is
that signatures are longer because r is included in the signature.
Thank you very much.
Moritz O. schrieb: > I have to solve the following problem and I am trying to do it since > more then two weeks, but I have no idea how to solve it. It is an > assignment for my study and I have to hand in tomorrow, unfortunately I > am not able to solve it. You should consider to break your study ASAP. Appearantly your intellectual skills are entirely insufficient. Don't continue wasting my tax pays!
c-hater schrieb: > Moritz O. schrieb: > >> I have to solve the following problem and I am trying to do it since >> more then two weeks, but I have no idea how to solve it. It is an >> assignment for my study and I have to hand in tomorrow, unfortunately I >> am not able to solve it. > > You should consider to break your study ASAP. Appearantly your > intellectual skills are entirely insufficient. Don't continue wasting my > tax pays! Bitte kompetenten Psychiater suchen und ins Thema Psychologie einlesen. Ein Anfang für dich: https://de.wikipedia.org/wiki/Posttraumatische_Verbitterungsst%C3%B6rung
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