Fix cw.tex
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Andre Henriques 2023-11-03 17:24:24 +00:00
parent 83a8289370
commit baaeb3612a

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@ -159,6 +159,35 @@
The plaintext is $(4, 3)$ and the $r=(4,9)$
C:
$$\begin{cases}
30548=1975t_1 + 7548t_2\\
6642=438t_1 + 1627t_2\\
\end{cases}= \begin{cases}
t_1 = \frac{432220}{92699}\\
t_2 = \frac{262074}{92699}\\
\end{cases}=\begin{cases}
t_1 \approx 4.66\\
t_2 \approx 2.83\\
\end{cases}=\begin{cases}
t_1 \approx 5\\
t_2 \approx 3\\
\end{cases}
$$
$$v'=5(1975,438) + 3(7548, 1627)=(32519, 7071)$$
$$
w = v'\times m' + r\iff
m'= (32519, 7071)\times\begin{pmatrix}
1975 & 438\\
7548 & 1627\\
\end{pmatrix}^{-1}\iff
m'=(5,3)
$$
Using $u_1$ and $u_2$ we do not dectypt correctly $m\ne m'$
\subsection*{7.2}
No he should not.