Your opponent uses RSA with n pq and encryption exponent e and encrypts a message m. This yields the ciphertext C = m mod n. A spy tells you that, for this message, 12345 =1 mod n. m! Describe how to determine m. Note that you don't know p, q, o(n), or a decryption exponent d. However, you should find a de- cryption exponent that works for this particular ciphertext.
Your opponent uses RSA with n pq and encryption exponent e and encrypts a message m. This yields the ciphertext C = m mod n. A spy tells you that, for this message, 12345 =1 mod n. m! Describe how to determine m. Note that you don't know p, q, o(n), or a decryption exponent d. However, you should find a de- cryption exponent that works for this particular ciphertext.
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Transcribed Image Text:5. Your opponent uses RSA with n =
pq and encryption exponent e and
encrypts a message m. This yields the ciphertext
c = m mod n.
A
spy
tells
you that, for this message,
12345
=1 mod n.
Describe how to determine m. Note that you don't know p, q, 6(n),
or a decryption exponent d. However, you should find a de-
cryption exponent that works for this particular ciphertext.
Moreover,explain carefully why your decryption works (Your
explanation must include how the spy's information is used.)
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