This commit is contained in:
parent
83a8289370
commit
baaeb3612a
29
cw/cw.tex
29
cw/cw.tex
@ -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.
|
||||
|
Reference in New Issue
Block a user