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MathJax link

#blog  #math  #no-style-please2 

mathjax $E=MC^2$

\[\begin{bmatrix} F_n \\ F_{n-1} \end{bmatrix} = A \begin{bmatrix} F_{n-1} \\ F_{n-2} \end{bmatrix}\]

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{%post_link encrypt blog 2:123   %}

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{% asset_img nahan.png %}

例子,取两个素数, 5 和 11 ,计算  
n = 5 * 11 = 55$
y(n)= (5-1)(11 -1) =  40

随机取一数,私钥 e = 3 
根据 ed   = 1 mod n  得到
d = 27

已知消息为 7 , 

加密: 7 ^ 3 mod  55 = 13

13 ^ 27 = ((13 )^ 3 ) ^ 9 = (52 ^ 3) ^ 3 = 28 ^ 3 = 7 mod 55

消息为 22
加密:22 ^ 3 = 33 mod 55

解密:33 ^ 3 ^ 3 ^ 3 = 22 ^ 3 ^ 3 = 33 ^ 3 = 22