Foundations of Cryptography | NPTEL | Week 11 Assignment Solutions

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Foundations of Cryptography NPTEL Week 11 Assignment Solutions

Q1. Which of the following statement(s) is/are incorrect?

a) Not all identification schemes can be used to get a signature scheme
b) Any encryption scheme can be used to get an identification scheme
c) Public-Key Identification Schemes provides security against passive adversary only
d) CCA-secure Hybrid Ciphers Based on Diffie-Hellman Problems require only DDH-assumption to be true

Answer: a), b), c), d)

Q2. The security of which of the following cryptographic construction(s) is based on the hardness of the Discrete logarithm problem?

a) Pedersen’s commitment scheme
b) El Gamal encryption scheme
c) Schnorr signature scheme
d) None of the above

Answer: a), c)

Q3.

a) If Π is secure then Π’ is also secure
b) Even if Π is secure, Π’ is not necessarily secure
c) Even if Π is insecure, Π’ is always secure
d) The security of Π and Π’ are not related

Answer: b)

Q4. Consider the following security experiment against the text-book RSA signature: the PPT adversary is given the public verification key vk and a message m (from the message space) by the verifier. The challenge for the adversary is to then come up with a valid signature on m, without getting the signing-oracle access at all. Then

a) If the RSA assumption holds, then the adversary can win the experiment only with a negligible probability
b) Even if the RSA assumption holds, the adversary can win the experiment with a non-negligible probability
c) The probability of the adversary winning the experiment cannot be related to the hardness of the RSA problem
d) None of the above

Answer: c)

Q5.

Answer: b)

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