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Alice received the following ciphertext from Bob, "51 21 39 39". Bob had encrypted it using the RSA cypher with Alice's public key
(pq, e) = (55, 3),
where
p = 5
and
q = 11.
Note that
(p − 1)(q − 1) = 40.
The value for d in Alice's private key,
(pq, d)
is a positive inverse for
3 modulo (p − 1)(q − 1).
It was found to be 27 in Examples 8.4.8(b) and 8.4.10. What is Bob's message after Alice decrypts it? (Assume Bob encoded one letter at a time using the encoding
A = 01, B = 02, C = 03, , Z = 26.)
What is Bob's message after Alice finishes decrypting it?
Sagot :
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