3. a) Break the RSA code whose enciphering key is (n, e) = (8369428283, 1234567).
Find the deciphering key and then decipher the message AFTHVVNJARCSTZFZ under the assumption that the plaintext consists of 7-letter blocks in the 26-letter alphabet, converted to an integer between 0 and 26⁷− 1 in the usual way, and the ciphertext consists of 8-letter blocks in the same alphabet.
b) Are 8-letter blocks for the ciphertext really needed? Either explain why not or give an example of a number whose encryption requires 8 positions
These solutions may offer step-by-step problem-solving explanations or good writing examples that include modern styles of formatting and construction of bibliographies out of text citations and references. Students may use these solutions for personal skill-building and practice. Unethical use is strictly forbidden.Question 2
We use the provided information that
• TH encrypted gives GW and
• HE encrypted gives R3.
We also use the decryption function P =a*C + b (mod 37*37), where P is the plaintext digraph and C is the ciphertext digraph.
P =a*C +b (mod 1369)
TH =37*29 + 17 = 1090
GW = 37* 16 + 32 = 624...
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