(i) What is an elliptic curve over Z₂? (See Textbook 3: Chapter 9). Find all b, 0≤ b < 13, such that y² = 2³-3x+b-k₂ mod
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(i) What is an elliptic curve over Z₂? (See Textbook 3: Chapter 9). Find all b, 0≤ b < 13, such that y² = 2³-3x+b-k₂ mod
(i) What is an elliptic curve over Z₂? (See Textbook 3: Chapter 9). Find all b, 0≤ b < 13, such that y² = 2³-3x+b-k₂ mod 13 is not an elliptic curve. 7,4,3 (ii) Given an elliptic curve E over Z17 and the base point P = (6,3). Find kP for (a) k = k₁ (b) k = k₂ + 1 (c) k = ks +2 in the group of the curve y² = ³ + 2x + 2 mod 17.
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