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Consider the points which satisfy the equation y = z" + az +b mod p where a = 12, b- 4, and p = 13. This curve contains the point P= (0, 2). Enter a comma separated list of points (r, y) consisting of all multiples of P in the elliptic curve group with parameters a 12, 6 4, and p 13. (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 = z" + az +b mod p where a = 12, b- 4, and p = 13. This curve contains the point P= (0, 2). Enter a comma separated list of points (r, y) consisting of all multiples of P in the elliptic curve group with parameters a 12, 6 4, and p 13. (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 = 2" + az + b mod p where a = 12, b = 4, and p = 13. This curve contains the point P= (0,2). Enter a comma separated list of points (r, y) consisting of all multiples of Pin the elliptic curve group with parameters a = 12, 6= 4, and p 13. (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 = 2" + az + b mod p where a = 12, b = 4, and p = 13. This curve contains the point P= (0,2). Enter a comma separated list of points (r, y) consisting of all multiples of Pin the elliptic curve group with parameters a = 12, 6= 4, and p 13. (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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