I’m working on a cryptography practice test / quiz and need an explanation to help me understand better.

  1. Reduce DDHP to DLP
  2. Explain why even adversaries with computationally unlimited resources cannot break an information–theoretically secure cipher.
  3. Show that if there exists a poly–time algorithm to solve DLP, there exists a poly–time attack on DH that allows to derive the session key from information, publicly exchanged by the communicating par- ties over an insecure communication channel, as well as from publicly available common knowledge.
  4. Show that a cryptosystem, that is indistinguishable under chosen plain- text attack and is homomorphic with respect to multiplication, is not indistinguishable under adaptive chosen ciphertext attack.
  5. Show that a cryptosystem that is indistinguishable under adaptive chosen ciphertext attack is indistinguishable under chosen plaintext attack. Hint: to show this, show that distinguishability under cho- sen plaintext attack implies distinguishability under adaptive chosen plaintext attack.
  6. Show that all proper values of the RSA public exponent are odd.
  7. Show that if there exists a poly-time algorithm to factor integers, then there exists a poly-time attack on RSA that can be used to derive a private exponent out of a public exponent and an RSA modulus
  8. You have a message m that you need to be signed by Alice. How do you obtain Alice’s signature on m without Alice knowing what m is? Describe the process in details.

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Cryptography – RSA, DDHP to DLP quiz
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