Question: Elliptic Curve Diffie-Hellman Key Exchange (ECDH) Let E 5 ( 0 , 1 ) be an elliptic curve defined over Z 5 y 2 m

Elliptic Curve Diffie-Hellman Key Exchange (ECDH)

LetE5(0,1) be an elliptic curve defined overZ5

y2mod5=x3+1mod5

1. Try to find all points onE5

Points onE5 are(0,1),(0,4),(2,2),(2,3),(4,0),()

2. Validate whether (2,2) is the generator ofE5(0,1)

Validated P+2P+3P+4P+5P have matching values of points given above.

3. Assume two people A and B want to exchange a secret key using Elliptic Curve Diffie-Hellman Key Exchange method.

Given

nA=3,nB=2are the private keys of each person

Calculate the public keysPAandPB and the secret keyK

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 Mathematics Questions!

Q:

Problem 10. You and Bob are setting up an elliptic curve Diffie-Hellman key exchange. You agree to use the curve y2 = r + 12.c + 19, the prime p=79383325070544946995240482785923708381947905804121,...

Q:

3. A: Fill the blanks below: ? Elliptic Curve Diffie-Hellman Key Exchange: Gren P, enerc elliptic Curve E a Alice Bob Choose random private key Choose random private key prA Compute corresponding...

Q:

WPA3 Enterprise mode with 192-bit mode Authentication - Extensible Authentication Protocol - Transport Layer Security (EAP-TLS) using Elliptic Curve Diffie-Hellman (ECDH) exchange and Elliptic Curve...

Q:

Nam Objective: Performing an Elliptic Curve Diffie-Hellman (ECDH) Key Exchange. Lab: You will be using the ECDHE program to perform the tasks and then provide screenshots of your output Tasks: In...

Q:

please answer on a cheet of paper [20 points] Your task is to compute a session key in a Diffie-Hellman Key Exchange protocol based on elliptic curves. Your private key is a=5. You receive Bob's...

Q:

Fast Please S. [20 points] Your task is to compute a session key in a Diffie-Hellman Key Exchange protocol based on elliptic curves. Your private key is a=6. You receive Bob's public key B=(5,9). The...

Q:

Calculate your personal key as a - = ( I D 1 + I D 2 + I D 4 + I D 6 ) * ( m o d 2 6 ) , where I D m is the m - th digit in your NJT ID ( the index starts with " 1 " ) . Example: NJIT id " 3 1 2 3 4...

Q:

1 . Demonstrate the Diffie - Hellman key exchange using an elliptic curve y 2 x 3 + ax + 9 ( mod p ) , where p = 8 0 1 1 . Use XA = 1 1 9 , XB = 1 2 1 . Find a perfect generator point or a generator...

Q:

1 . Demonstrate the Diffie - Hellman key exchange using an elliptic curve y 2 x 3 + ax + 9 ( mod p ) , where p = 8 0 1 1 . Use XA = 1 1 9 , XB = 1 2 1 . Find a perfect generator point or a generator...

Q:

Miller-Rabin test to check whether a number N is composite. This will involve computing a N1 mod N for some value of a. [10 marks] Carry out the steps for N = 65 and a = 1, 2, 8 and 12. on what each...

Q:

The time-area-concentration curve for an urban basin is given below. Also provided is a table giving the rainfall hyetograph and losses. a) What is the total area of the catchment? b) What is the...

Q:

This chapter discusses multiple lawsuits brought by the EEOC against Supercuts. What factors may be contributing to the persistence of problems within the organization? Make specific recommendations...

Q:

I need help solving this general accounting question with the proper methodology. Vektek, Inc. thinks machine hours is the best activity base for its manufacturing overhead. The estimate of annual...

Q:

Moving to another question will save this response. Question 21 If a host (PC or other end-device) determines that the destination IP Address is on a remote network, the message is forwarded to the...