Foundations of Cryptography | NPTEL | Week 6 Assignment Solutions

This set of MCQ(multiple choice questions) focuses on the Foundations of Cryptography NPTEL Week 6 Assignment Solutions.

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• Week 1: Assignment answers
• Week 2: Assignment answers
• Week 3: Assignment answers
• Week 4: Assignment answers
• Week 5: Assignment answers
• Week 6: Assignment answers
• Week 7: Assignment answers
• Week 8: Assignment answers
• Week 9: Assignment answers
• Week 10: Assignment answers
• Week 11: Assignment answers
• Week 12: Assignment answers

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Foundations of Cryptography NPTEL Week 6 Assignment Solutions

Q1. Choose the incorrect option(s) from the following:

a) (R,× ) is a group
b) (R-{0},+) is a group
c) (Z – {0}, +) is an abelian group
d) (R -{0} ,× ) is a group

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Q2. Select the incorrect option(s) for the Merkle-Damgård transformation:

a) It employs a multi-stage approach and used in many popular hash algorithms like MD5, SHA256
b) This construction will always add a padding to the message which depends upon the length of the message
c) The initial vector (IV) used in this construction can be randomized
d) The transformation is a deterministic function of the input

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Q3. Given H is a collision-resistant hash function. Then which of the following is/are false?

a) The function H_1 (x)≝H(x)||H(x) is not collision-resistant
b) The function H_1 (x)≝H(x)||H(x) is collision-resistant
c) The function H_2 (x)≝1||H(x) is collision-resistant
d) The function H_2 (x)≝1||H(x) is not collision-resistant

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Q4.

Neither the construction in part (a), nor the construction in part(b) is secure 

The construction in part (a), as well as the construction in part(b) are secure

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Q5. Let F:{0, 1}ⁿ X {0, 1}ⁿ be a keyed function and let H: M => {0, 1}ⁿ be a function, where M = {0, 1}^≤l, where l is some polynomial function of the security parameter. Then consider the keyed function F’: {0, 1}ⁿ X M => {0, 1}ⁿ, where F’_k(m) = Fk(H(m)). Which of the following is/are true?

a) If F is a secure PRF, then F’ is a secure PRF
b) If H is collision-resistant, then F’ is a secure PRF
c) If F is a secure PRF and H is collision-resistant, then F’ is a secure PRF
d) Even if F is a secure PRF and H is collision-resistant, the function F’ need not be a secure PRF

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Foundations of Cryptography NPTEL Week 6 Assignment Solutions

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