
Rework Example 5 by breaking the message into two-digit blocks instead of three-digit blocks. What is the enciphered message using the two-digit blocks?
Example 5: RSA Public Key Cryptosystem We first choose two primes (which are to be kept secret):
Then we compute
(which is to be made public):
Next we choose
(to be made public), where
Using the Euclidean Algorithm, we find
(which is kept secret). The mapping
Using the
The message becomes
This message must be broken into blocks
The enciphered message becomes
To decipher the message, one must know the secret key
Finally, by re-breaking the “message” back into two-digit blocks, one can translate it back into plaintext.
The RSA Public Key Cipher is an example of an exponentiation cipher.

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Chapter 2 Solutions
ELEMENTS OF MODERN ALGEBRA
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