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

The jurassic zoo charges 12for each adult admission and

The Jurassic Zoo charges $12for each adult admission and $2for each child. The total bill for the 259 people from a school trip was $1128. How many adults and how many children went to the zoo?

In a 150-200 word reply respond to the followinghow does

In a 150-200 word reply, respond to the following: How does the visionary component of change relate to servant leadership and world-changing outcomes? What examples of servant leadership and world-changing outcomes can ...

An earthquake was recorded as 1057nbsptimes more powerful

An earthquake was recorded as 10 5.7  times more powerful than a reference level zero earthquake. What was the magnitude of this earthquake on the Richter scale? R = logI/I 0

Sund intensity known as decibels d is calculated usingd

Sound intensity, known as decibels, d, is calculated using:d = 9.8log IaI is the intensity per unit of area. a is faintest audible sound of the average human ear. Find the decibels of a motorcycle that has a sound intens ...

Exploring different businessit alignment frameworks

Exploring different business/IT alignment frameworks, methodologies and tools: Architecture: Enterprise Architecture [TOGAF] Governance: Business Performance Management [Balanced Scorecard] IT Governance [COBIT, ITIL] Co ...

A set solution concept for a family of bargaining games f

A set solution concept for a family of bargaining games F is a function ? associating every bargaining game (S, d) in F with a subset of S (which may contain more than a single point). Let f : R4 → R be a function. Defin ...

List three major disadvantages of internet search engines

List three major disadvantages of internet search engines, then briefly describe other electronic research tools that overcome those shortcomings. Essay of 350-500 words. (Introduction, body and conclusion)

Hookes law states that the force needed to stretch a spring

Hooke's law states that the force needed to stretch a spring is proportional to the amount the spring is stretched. If 20.00 lb stretches a certain spring 10.0 In, how much will the spring be stretched by a force of 9.00 ...

Consumer driven health plans provide individuals with an

Consumer Driven Health Plans provide individuals with an incentive to control the care and cost of health benefits. Research a CDHP such as an HRA, HSA, or FSA and discuss ways that you might be able to control cost if y ...

Find the specified domain and express it in interval

Find the specified domain and express it in interval notation. For f(x) = x 2  - 64 and g(x) = 2x + 3, what is the domain of (g/t)(x)?

  • 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