# When the first letter of the message is encoded, the result is? What is the fully encrypted message that Alice receives?

ASSIGNMENT

The message, “JAW,” which he plans to encrypt using Alice’s RSA cypher with public key (pq, e) = (55, 3). To encrypt the message, Bob uses the method described in Example 8.4.9. He encodes one letter at a time using Next, he applies the encrypting formula where M is a plaintext letter and C is a block of ciphertext. Because 55 is a two-digit integer, each block of ciphertext is a two-digit integer with represented as

(a) When the first letter of the message is encoded, the result is . Bob then applies the encrypting formula to find that the first two-digit block of the encrypted message is

(b) The second two-digit block of Bob’s encrypted message is

(c) What is the fully encrypted message that Alice receives?

A = 01, B = 02, C = 03, , Z = 26.

C = M mod pq,e

0, 1, 2 , 9 01, 02, 03, , 09.

,

mod 55 = .3

mod 55 = .3

,

When the first letter of the message is encoded, the result is? What is the fully encrypted message that Alice receives?