Suppose your RSA modulus is n = 55 = (5)(11) and your encryption exponent is e = 3. a) Find the decryption modulus d. b) Assume that gcd(m,55)=11. Show that if c ≡ m3 ( mod 55) is the ciphertext, then the plaintext is m ≡ c d ( mod 55)

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Suppose your RSA modulus is n = 55 = (5)(11) and your encryption exponent is e = 3.

  1. a) Find the decryption modulus d.
  2. b) Assume that gcd(m,55)=11. Show that if c ≡ m3 ( mod 55) is the ciphertext, then the plaintext is m ≡ c d ( mod 55)
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