Consider the elliptic curve group based on the equation y² = x³ + ax + b mod p where a = 2, b = 4, and p = 5. This curve contains the point P = (0,2). The order of this elliptic curve group is the prime number 7, and therefore we can be sure that P is a primitive element. Another element in this group is Q = (2, 1). The index of Q with respect to P is the least positive integer d such that Q = d.P. What is d, the index of Q?

Consider the elliptic curve group based on the equation y² = x³ + ax + b mod p where a = 2, b = 4, and p = 5. This curve contains the point P = (0,2). The order of this elliptic curve group is the prime number 7, and therefore we can be sure that P is a primitive element. Another element in this group is Q = (2, 1). The index of Q with respect to P is the least positive integer d such that Q = d.P. What is d, the index of Q?

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section6.2: Trigonometric Functions Of Angles

Problem 79E

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