Consider the curve y2 ≡ x3 + 4x + 7 mod 11 1. For a point...

Consider the curve y2 ≡ x3 + 4x + 7 mod 11

1. For a point P= (2,10), find 2P (or double)

2. For two of the points P = (2,1) and Q =(7,2), find P+Q

3. Find the bound for the number of points on this curve using Hesse’s theorem.

Solutions

Expert Solution

Elliptic curves are polynomials that define points based on the equation:

92 = r+ L + 6 --> for parameters a,b that specify the exact shape of the curve

Vi) Hasse‘s theorem bounds the number of points to a restricted interval. Hasse‘s Theorem: Given an elliptic curve module p, the number of points on the curve is denoted by #E and is bounded by

II hope this answer help full to you, please give me the positive rationg thq

venereology answered 5 months ago

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