# Foundations of Cryptography | NPTEL | Week 9 Assignment Solutions

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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 λ is the slope of the line connecting P and Q, then P + Q = (x3, y3) where x3 = λ2 – x1 -x2 and y3 = λ(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)

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

a) y2 = x3 + x mod 23
b) y2 = x3 + 3x + 3 mod 7
c) y2 = x3 + 2x + 1 mod 11
d) y2 = x3 + x2
e) y2 = x3 – x

Q3.

a) DLog
b) CDH
c) DDH
d) All of these

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

Q5.

a) gα+β
b) gα
c) gαβ
d) gβ

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