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= Application of linearity = | = Application of linearity = | ||
== How can Bob decrypt the message? == | == How can Bob decrypt the message? == | ||
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| + | Assuming that Matrix A is what Alice wants to say, and matix B is a 3-by-3 matrix to encrypt Alice's message, and matrix C is the encoded messange. | ||
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| + | It can be expressed A*B=C. | ||
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| + | In order to find A, Bob needs to find the inverse matrix of B. | ||
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| + | A*B*B`= C*B`, A*I=C*B' | ||
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| + | After that, he needs to calculate C*B`. By finding its corresponding order in the alphabet, He can figure our what she wants to say. | ||
Revision as of 07:02, 19 September 2008
Application of linearity
How can Bob decrypt the message?
Assuming that Matrix A is what Alice wants to say, and matix B is a 3-by-3 matrix to encrypt Alice's message, and matrix C is the encoded messange.
It can be expressed A*B=C.
In order to find A, Bob needs to find the inverse matrix of B.
A*B*B`= C*B`, A*I=C*B'
After that, he needs to calculate C*B`. By finding its corresponding order in the alphabet, He can figure our what she wants to say.
