(How will Bob decrypt the message?)
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The first thing Bob needs to do is to break the encrypted message (vector form) into smaller vectors.  Then, Bob can multiply them by the inverse if the encryption matrix.  The product of these will give the final output / hidden message.
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The first thing Bob needs to do is to break the encrypted message (vector form) into smaller vectors.  Then, Bob can multiply them by the inverse of the encryption matrix.  The product of these will give the final output / hidden message.
 
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== Can Eve decrypt the message without taking the inverse of the secret matrix? ==
 
== Can Eve decrypt the message without taking the inverse of the secret matrix? ==

Revision as of 18:20, 18 September 2008

How will Bob decrypt the message?

The first thing Bob needs to do is to break the encrypted message (vector form) into smaller vectors. Then, Bob can multiply them by the inverse of the encryption matrix. The product of these will give the final output / hidden message.

Can Eve decrypt the message without taking the inverse of the secret matrix?

No, the message cannot be decrypted without taking the inverse of the matrix. However, since she was the creator of the decryption system, she should be able to figure it out.


What is the decrypted message?

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Abstract algebra continues the conceptual developments of linear algebra, on an even grander scale.

Dr. Paul Garrett