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Consider the points which satisfy the equation y = x + ax + b mod p where a = 4, b = 2, and p = 11. This curve contains the point P = (4,4). Enter a comma separated list of points (æ, y) consisting of all multiples of P in the elliptic curve group with parameters a = 4, b = 2, and p = 11. (Do not try to enter O, the point at infinity, even though it is a multiple of P.) What is the cardinality of the subgroup generated by P?

Consider the points which satisfy the equation y = x + ax + b mod p where a = 4, b = 2, and p = 11. This curve contains the point P = (4,4). Enter a comma separated list of points (æ, y) consisting of all multiples of P in the elliptic curve group with parameters a = 4, b = 2, and p = 11. (Do not try to enter O, the point at infinity, even though it is a multiple of P.) What is the cardinality of the subgroup generated by P?

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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Consider the points which satisfy the equation y? = x° + ax +b mod p where a = 4, 6 = 2, and p= 11. This curve contains the point P = (4,4). Enter a comma separated list of points (x, y) consisting of all multiples of P in the elliptic curve group with parameters a = 4, b = 2, and p = 11. (Do not try to enter O, the point at infinity, even though it is a multiple of P.) What is the cardinality of the subgroup generated by P?
Transcribed Image Text:Consider the points which satisfy the equation y? = x° + ax +b mod p where a = 4, 6 = 2, and p= 11. This curve contains the point P = (4,4). Enter a comma separated list of points (x, y) consisting of all multiples of P in the elliptic curve group with parameters a = 4, b = 2, and p = 11. (Do not try to enter O, the point at infinity, even though it is a multiple of P.) What is the cardinality of the subgroup generated by P?
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