This set of MCQ(multiple choice questions) focuses on the **Foundations of Cryptography** **NPTEL Week 9 Assignment Solutions**.

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**Assignment answers** - Week 2:
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**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 9 Assignment Solutions

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**Q1.** Choose the incorrect option(s):

a) Given a point P on an elliptic curve, and O the point at infinity, P + *O* = P.

b) If P = (x1, y1) and Q = (x2, y2) are two distinct points on an elliptic curve, and Î» is the slope of the line connecting P and Q, then P + Q = (x3, y3) where x3 = Î»^{2} – x1 -x2 and y3 = Î»(x1-x3) – y1

c) If P = (x1, y1) is a point on an elliptic curve and Q is its x-axis reflection given by (x1, -y1), then P + Q = (0, 0)

d) If P = (x, y) is a point on an elliptic curve, then 2P = (2x, 2y)

**Answer:** c), d)

**Q2.** Which of the following curve(s) is/are singular?

a) y^{2} = x^{3} + x mod 23

b) y^{2} = x^{3} + 3x + 3 mod 7

c) y^{2} = x^{3} + 2x + 1 mod 11

d) y^{2} = x^{3} + x^{2}

e) y^{2} = x^{3} – x

**Answer:** d)

**Q3.**

a) DLog

b) CDH

c) DDH

d) All of these

**Answer:** a), b)

**Q4.**

a) The scheme satisfies binding, but not hiding

b) The scheme satisfies hiding, but not binding

c) The scheme satisfies neither the hiding property nor the binding property

d) The scheme satisfies both hiding as well as binding property

**Answer:** a), b), d)

**Q5. **

a) g^{Î±+Î²}

b) g^{Î±}

c) g^{Î±Î²}

d) g^{Î²}

**Answer:** a), b), d)

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