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(6) Let P = (x, y) be a point on an elliptic curve E : y² = x³ + bx+c (mod p). The smallest positive integer n such that POPOOP: nP = ∞0. In times. is called the order of P. Compute the order of the point (3, 2) on the elliptic curve y² = x³ - 2 (mod 7).

(6) Let P = (x, y) be a point on an elliptic curve E : y² = x³ + bx+c (mod p). The smallest positive integer n such that POPOOP: nP = ∞0. In times. is called the order of P. Compute the order of the point (3, 2) on the elliptic curve y² = x³ - 2 (mod 7).

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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(6) Let P = (x, y) be a point on an elliptic curve E : y² = x³ + bx+c (mod p). The smallest positive integer n such that POPOOP: nP = ∞0. n times. is called the order of P. Compute the order of the point (3, 2) on the elliptic curve y² = x³ - 2 (mod 7).
Transcribed Image Text:(6) Let P = (x, y) be a point on an elliptic curve E : y² = x³ + bx+c (mod p). The smallest positive integer n such that POPOOP: nP = ∞0. n times. is called the order of P. Compute the order of the point (3, 2) on the elliptic curve y² = x³ - 2 (mod 7).
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