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Suppse you were given some elliptic curve E = x³+ax+b over some prime field Fp. Now, say you I know that (r, 0), (s, 2), and (t, 3) are points on E on the same line. What is the elliptic curve point (r, 0) ⇒ (t, − 3)? (as a reminder, © is the Elliptic curve addition/multiplication).

Suppse you were given some elliptic curve E = x³+ax+b over some prime field Fp. Now, say you I know that (r, 0), (s, 2), and (t, 3) are points on E on the same line. What is the elliptic curve point (r, 0) ⇒ (t, − 3)? (as a reminder, © is the Elliptic curve addition/multiplication).

Elements Of Modern Algebra
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter8: Polynomials
Section8.6: Algebraic Extensions Of A Field
Problem 7E
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= Suppse you were given some elliptic curve E x³+ax+b over some prime field Fp. Now, say you know that (r, 0), (s, 2), and (t, 3) are points on E on the same line. What is the elliptic curve point (r, 0) – (t, −3)? (as a reminder, & is the Elliptic curve addition/multiplication).
Transcribed Image Text:= Suppse you were given some elliptic curve E x³+ax+b over some prime field Fp. Now, say you know that (r, 0), (s, 2), and (t, 3) are points on E on the same line. What is the elliptic curve point (r, 0) – (t, −3)? (as a reminder, & is the Elliptic curve addition/multiplication).
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