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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

Posted: Tue Jul 12, 2022 12:07 pm
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I What Is An Elliptic Curve Over Z See Textbook 3 Chapter 9 Find All B 0 B 13 Such That Y 2 3x B K Mod 1
I What Is An Elliptic Curve Over Z See Textbook 3 Chapter 9 Find All B 0 B 13 Such That Y 2 3x B K Mod 1 (12.61 KiB) Viewed 28 times
(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.