Ask Question, Ask an Expert

+1-415-315-9853

info@mywordsolution.com

Ask Math Expert


Home >> Math

problem. When elliptic curves are used for cryptography, why are elliptic curves over finite fields better than elliptic curves over the real numbers?

problem. An elliptic curve y2 = x3+ax+b (mod 29) includes points P = (7,15) and Q = (16,13).

(a) Determine with justification the equation of the curve.

(b) Determine with justification all values of x for which there is no point (x, y) on the curve.

 

problem . Sometimes students wonder why the geomet1c construction P + Q requires the refection step.

Suppose instead that we used a simpler no refection definition to add elliptic curve points, letting R = P +

Q where P, Q, Rare collinear points on an elliptic curve (i. e. removing the refection step from the definition of addition).

 

(a) Show that with a no-reflection definition of addition, we could get 2P = 0 for every choice of P.

(b) What advantage does the actual definition of addition (that is, with the reflection step) have over the no-reflection definition 01 R = P + Q?

problem: For this question, you may work by hand or use the applet Elliptic Curves Applet: over Zp in the Content for Module 5. Computations are over the elliptic curve y2 = x3 +l1x +6 over Z23. To support your answer, you can quote calculations without great detail. For example, you could say that 2(2, 6) = (19,17), without detailing the calculations of m, x, y. 

Tip: Organize your work to avoid unnecessary repetition.I

Given a positive integer k, define a set of Pfints S(k) on the elliptic curve as follows:

PE S(k) IF AND ONLY IF [(2k)P =/0 AND (2k-1)p ~ 0].

(a) Determine with justification all points in S(l).

(b) Determine with justification all points in S(2).

(c) Determine with justification the largest value of k for which S(k) is not empty, and the corresponding points in S(k).

Download:- Math_Course.pdf

Math, Academics

  • Category:- Math
  • Reference No.:- M914307
  • Price:- $40

Priced at Now at $40, Verified Solution

Have any Question? 


Related Questions in Math

A homeowner planning a kitchen remodeling can afford a 700

A homeowner planning a kitchen remodeling can afford a $700 monthly payment. How much can the homeowner borrow for 2 years at 6%, compounded monthly, and still stay within the budget? (Round your answer to the nearest ce ...

In a set of 24 months of data for medical leave that has a

In a set of 24 months of data for medical leave that has a mean of 11 days per month and a standard deviation of 4.69, how many months are expected to have fewer than 15.69 days per month reported medical leave (one stan ...

Consider an aumann model of incomplete information in which

Consider an Aumann model of incomplete information in which N = {I, II}, Y = {1, 2, 3, 4, 5, 6, 7, 8, 9}, FI = {{1, 2, 3},{4, 5, 6},{7, 8, 9}}, and FII = {{1, 5},{2, 6},{3, 4},{7},{8, 9}}. Answer the following questions: ...

Consider a 2-bp problem with w 11 l 16 and n 6 where the

Consider a 2-BP problem with W = 11, L = 16 and n = 6, where the characteristics (wi,li) of each object i, i = 1,..., 6, are {(6,8), (6,8), (7,8), (4,9), (5,7), (4,4), (5,6)}. • Use the BL heuristic to determine the numb ...

Use the simplex method to maximize p 8x9y subject to 3x2y

Use the simplex method to maximize P= 8x+9y subject to 3x+2y is less than or equal to 12 6x+1y is less than or equal to 15 X is greater than 0 Y is greater than 0

Distribution strategiesone very important decision that

Distribution Strategies One very important decision that marketers need to make is which  channel of distribution  to use for its products or services. Four primary considerations need to be analyzed before making the di ...

There is a collection of 13 books 7 of the books are

There is a collection of 13 books. 7 of the books are fiction and 6 of the books are nonfiction.As an assignment, a student must read 6 of the books over the summer. (a) In how many ways can 6 of the 13 books be chosen?  ...

Assignment1a use the midpoint rule with n 4 subintervals

Assignment (1) (a) Use the Midpoint Rule with n = 4 subintervals to estimate The width of each interval is: (b) Use the Error Bound to find the bound for the error When using the Midpoint Rule, the Error Bound is: (c) Co ...

Kickstarter is a web site that enables independent creative

Kickstarter is a Web site that enables independent creative professionals to raise funds for lofty commercial projects. Entrepreneurial artisans ask for pledges at fixed price points in exchange for tiered thank-you gift ...

Assignment conflict resolutionconflict resolution is a

Assignment: Conflict Resolution Conflict resolution is a necessary skill for any manager or leader. In this assignment, you will examine the difference between conflict and competition. You will also explore ways of dete ...

  • 4,153,160 Questions Asked
  • 13,132 Experts
  • 2,558,936 Questions Answered

Ask Experts for help!!

Looking for Assignment Help?

Start excelling in your Courses, Get help with Assignment

Write us your full requirement for evaluation and you will receive response within 20 minutes turnaround time.

Ask Now Help with Problems, Get a Best Answer

WalMart Identification of theory and critical discussion

Drawing on the prescribed text and/or relevant academic literature, produce a paper which discusses the nature of group

Section onea in an atwood machine suppose two objects of

SECTION ONE (a) In an Atwood Machine, suppose two objects of unequal mass are hung vertically over a frictionless

Part 1you work in hr for a company that operates a factory

Part 1: You work in HR for a company that operates a factory manufacturing fiberglass. There are several hundred empl

Details on advanced accounting paperthis paper is intended

DETAILS ON ADVANCED ACCOUNTING PAPER This paper is intended for students to apply the theoretical knowledge around ac

Create a provider database and related reports and queries

Create a provider database and related reports and queries to capture contact information for potential PC component pro