Question

1. Use a Vigenere cipher with a key of "Patton" to encrypt: "If everyone is thinking...

1. Use a Vigenere cipher with a key of "Patton" to encrypt: "If everyone is thinking alike,

then somebody isn't thinking." Is this a good key? Why or why not?

2.  Calculate the index of coincidence for the result.

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Answer #1

1. Encrypting "If everyone is thinking alike, then somebody isn't thinking." using a Vigenere cipher with a key Patton gives "Xf xosenogx wf ihbgyvcg tewxt, taxb fdmxucqn ilg'h gwigdwav.".

This is a good key since the length of the key is relatively large.

2. The incidence of coincidence can be found by calculating the following expression
where N is the length of the text which is 49 in this case, n is the number of alphabets which is 26 in this case and Fi is the number of appearances of the i th alphabet.

This value comes to which is equal to .

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