Question: Consider the elliptic curve group based on the equation where a = 10, b = 3, and p = 11. y = x +

Consider the elliptic curve group based on the equation where a = 10, b = 3, and p = 11. y = x + ax + b mod p This curve contains the point P = (0,5). The order of this elliptic curve group is the prime number 17, and therefore we can be sure that P is a primitive element. Another element in this group is Q = (0,6). The index of Q with respect to P is the least positive integer d such that Q =dP. What is d, the index of Q?

Step by Step Solution

★★★★★

3.48 Rating (151 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

The question presented here deals with the concept of elliptic curves over finite fields specifically with the calculation of points on an elliptic cu... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Programming Questions!

Assume it is Monday, May 1, the first business day of the month, and you have just been hired as the accountant for Colo Company which operates with monthly accounting periods. All of the company's...

Category Billions of dollars Consumption 400 Investment 150 Government spending 80 Exports 210 Imports 60 Foreign income payments to domestic factors 20 Domestic income payments to foreign factors 10...

A typical ten-pound car wheel has a moment of inertia of about 0.35kgm2. The wheel rotates about the axle at a constant angular speed making 70.0 full revolutions in a time interval of 7.00s . a)What...

1. Assume that U.S. and Argentine investors require a real return of 2 percent. If the U.S. nominal interest rate is 5 percent, and Argentina's nominal interest rate is 7 percent, then according to...

Specify the activities associated with main cost types, and provide the graph for semi-variable cost, where the production is increase by 70 units each point and the cost increase is Rs. 10,000, and...

(1 point) Consider the elliptic curve group based on the equation y2x3+ax+bmodp where a=758,b=1124, and p=2683. We will use these values as the parameters for a session of Elliptic Curve...

Consider the elliptic curve group based on the equation 2 3 + + mod where = 1 8 3 7 , = 5 6 0 , and = 2 6 5 9 . We will use these values as the parameters for a session of Elliptic Curve Diffie -...

( 1 point ) Consider the elliptic curve group based o n the equation y 2 - = x 3 + a x + b , modp where a = 1 , b = 6 , and p = 7 . This curve contains the point P = ( 1 , 1 ) . The order o f this...

Consider the elliptic curve group based on the equation y 2 x 3 + ax + bmodp where a = 8 5 , b = 2 7 1 2 , and p = 3 4 6 3 . We will use these values as the parameters for a session of Elliptic Curve...

( 1 point ) Consider the elliptic curve group based on the equation y 2 - = x 3 + a x + b , modp where a = 2 4 4 0 , b = 2 9 5 , and p = 3 3 9 1 . We will use these values as the parameters for a...

(1 point) Consider the elliptic curve group based on the equation y2x3+ax+bmodp where a=1,b=5, and p=11. This curve contains the point P=(0,4). The order of this elliptic curve group is the prime...

A beam of light strikes the plane surface of silicate flint glass at an angle of incidence of 45 . The index of refraction of the glass varies with wavelength (see figure). How much smaller is the...

Several students were gathered around the section of the College Bookstore where business textbooks were shelved. Martin Tremayne heard comments about the outrageous and unethical prices being...

1The height, y metres, of an object projected directly upwards from the ground can be modelled by 171-5, where is the time in seconds after it leaves the ground. (i) Find the height of the object 2.5...

Carter Corporations sales are expected to increase from $5 million in 2008 to $6 million in 2009, or by 20%. Its assets totaled $3 million at the end of 2008. Carter is at full capacity, so its...

Allocation of common costs. Jim Dandy Auto Sales uses all types of media to advertise its products (television, radio, newspaper, etc.). At the end of 2011, the company president, Jim Dandridge,...

The April 23, 2008, issue of the Wall Street Journal includes an article by Vanessa OConnell entitled Coach Profit Is Up but Margins Are Tightening. Instructions Read the article and answer the...

An insulated tank containing 0.4 m3 of saturated water vapor at 500 kPa is connected to an initially evacuated, insulated pistoncylinder device. The mass of the piston is such that a pressure of 150...

Gleason Enterprises issued 9%, 8-year, $2,600,000 par value bonds that pay interest semiannually on October 1 and April 1. The bonds are dated April 1, 2012, and are issued on that date. The discount...

An internal auditors field work uncovers a series of transactions that indicate a possible embezzlement. Which of the following actions should the chief audit executive take?A.Confront the suspected...

Abby is the sole owner of a nail salon. Her costs for a manicure are given by TC = 10 + q2 AC = 10/q + q MC = 2q The nail salon is open only 2 days a weekWednesdays and Saturdays. On both days, Abby...

Scotch whisky increases in value as it ages, at least up to a point. For any period of time, t, the value of a barrel is given by V = 100t 6t2. This function implies that the proportional rate of...

Suppose that the demand for broccoli is given by Demand: Q = 1,000 5P where Q is quantity per year measured in hundreds of bushels and P is price in dollars per hundred bushels. The long-run supply...

Define motivation, and discuss the key elements of early instinct and drive-reduction approaches to motivation.

Distinguish among the commonsense, James-Lange, Cannon-Bard, and facial feedback theories of emotion.

Distinguish among the various sexual orientations, and identify some potential influences on sexual orientation.