Question: 9.8. Given is the same curve as in 9.7. The Order of this curve is known to be |E| = 37. Furthermore, an additional point

9.8. Given is the same curve as in 9.7. The Order of this curve is known to be |E| = 37. Furthermore, an additional point Q = 15 P = (14,23) on this curve is given. Determine the result of the following point multiplications by using as few group operations as possible, i.e., make smart use of the known point Q. Specify how you simplified the calculation each time. Hint: In addition to using Q, use the fact that it is easy to compute P . 1. 16 P 2. 38 P 3. 53 P 4. 14 P + 4 Q 5. 23 P +11 Q You should be able to perform the scalar multiplications with considerably fewer steps than a straightforward application of the double-and-add algorithm would allow.

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

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 Databases Questions!

Given is the same curve as in 9.7 in Understanding Cryptography by Christof Paar. The order of this curve is known to be #E = 37. Furthermore, an additional point Q = 15 P = (14,23) on this curve is...

4. Given an elliptic curve E y2 = x3 + 4x + 20 over Z29 and the base point P = (8, 10). The order of this curve is known to be #E = 37. Furthermore, an additional point Q = 15P = (14, 23) on the...

Exercise one. 1. Let the market demand curve be P=1000 - 10Q. Assume the market is controlled by a monopolist. Let fixed cost be $10,000 and Marginal Costs (MC)=20Q. a) What is the profit maximizing...

Create charts to better understand data sets. For cross-sectional data, use a scatter chart. For time series data, use a line chart. Linear y = a + bx Logarithmic y = ln(x) Polynomial (2nd order) y =...

MEAN 6.0000 WHEN WE HAVE LARGE DATA SETS, WE GROUP THE DATA. IN THIS CASE OUR GROUPS WILL BE: STD DEV 2.17 IN A NORMAL DISTRIBUTION THE MEAN, MEDIAN AND MODE ARE ALL THE SAME NUMBER X-VALUES Z-VALUES...

Explain the questions well. 1). The market demand function for a good is given by Q = D(p) = 800 50p. For each firm that produces the good the total cost function is TC(Q) = 4Q+( Q2/2) . Recall that...

i. Explain all the questions well. 1). The market demand function for a good is given by Q = D(p) = 800 50p. For each firm that produces the good the total cost function is TC(Q) = 4Q+( Q2/2) ....

IOE 419 Mark S. Daskin Service Operations Management IOE Department Winter, 2017 University of Michigan Problem set 4 DUE: MONDAY - February 20, 2017 Points: 100 points total Problem 1: Babette has...

REVISION QUESTIONS MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) Which of the following is a generic term that covers a broad range of...

Will eating a special high carbohydrate meal the night before an athlete runs a 10 kilometer race affect the time taken? a). Design an experiment to answer this question. In your answer indicate how...

What is the difference between a commercial Bank and gslamic Backng?

1 . TRUE or FALSE: One can find the future value at the end of year t of an amount deposited today by multiplying the amount deposited today by an appropriate discount factor ( i . e . , by ( 1 + r )...

Which of the following statements is true? Income character determines the tax year in which the income is taxed. Income character depends on the taxpayer's filing status. Qualified dividend income...

Compare the current team to the ideal team.

Are the rules readily available?

Have ground rules been established for the team?