Question: q=811 (a) Consider the multiplicative group Fq and find a generator (primitive root) of it. (b) Show the steps of the Diffie-Hellman between Alice and

q=811

(a) Consider the multiplicative group F∗q and find a generator (primitive root) of it.
(b) Show the steps of the Diffie-Hellman between Alice and Bob such that they choose the secret values as a = 32 and b = 64. What are the values of A = ga and B = gb. What is the agreed key?
(c) Use Fermat’s Little Theorem to compute the inverse of 7 mod q.

Step by Step Solution

★★★★★

3.46 Rating (166 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a A generator primitive root of the multiplicative group Fq is any number g such that every numb... 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 Algorithms Questions!

Use Fermat's little theorem to find 7121 mod 13.

Bob Luck was hired to replace Alice Carter as administrative assistant in the admissions office of Claymore Community College. Before leaving, Alice had given a months notice to the director of...

Find the multiplicative inverse of each of the following matrices if the multiplicative inverse exists. (a) (b) (c) (d) 2 3 0 0 1 2

OPEC The Organization of the Petroleum Exporting Countries (OPEC) was founded by Iran, Iraq, Kuwait, Saudi Arabia, and Venezuela in 1960. Headquartered in Vienna, Austria, since 1965, OPEC currently...

Should patients who are bleeding from the stomach get transfusions when their hemoglobin level falls below 7 grams per deciliter (restrictive strategy) or when it falls to 9 grams per deciliter...

7. Consider the following information: Daily Production and Costs at Jills Bread Bakers Quantity Produced Total Costs (dozens of loaves) (dollars) 0 20 1 22 2 26 3 32 4 40 5 50 6 62 7 76 a. Calculate...

Recall Exercise 8.1.30 on accuracy of survey responses. Another way to measure accuracy of responses is whether people round when giving numerical answers. The researchers considered a number to be...

Prove Fermats little theorem, which is given in Theorem 10.6. Consider the sequence a 1 , a 2 , . . . . What must happen, and how?

Participative Living, Inc. (a fictitious name), is a charitable organization in a medium-size community in Canada. It was organized by parents of disabled adults to provide accommodation and training...

This chapter discussed transferring profits between divisions of a multinational company. Another situation where transfer prices have a similar effect is when a parent company transfers items to or...

Comment: Only Need answer 2a "Total contribution margin on lost sales" Sako Companys Audio Division produces a speaker that is used by manufacturers of various audio products. Sales and cost data on...

Discuss the various types of policies ?

Briefly explain the various types of leadership ?

Explain the need for and importance of co-ordination?

Explain the contribution of Peter F. Drucker to Management .

The compounded ratio of (2 : 3), (6: 11) and (11:2) is A) 1:2 B) 2:1 C) 11:24 D) 36:121

Question 1 When a nation has a comparative advantage in producing a product, then in comparison with any other nation it can produce that product: At a lower average total cost With less labor With...

(a) Explain why the concentration of dissolved oxygen in freshwater is an important indicator of the quality of the water. (b) How is the solubility of oxygen in water affected by increasing...

Assume we want to make the TCP client program in Table 25.2 more generic to be able to send a string and to handle the response received from the server. Show how this can be done. Table 25.2 Echo...

Why do you think RIP uses UDP instead of TCP?

In JPEG, do we need less than 24 bits for each pixel if our image is using one or two primary colors? Explain.

A testing laboratory studies and compares the relationship between tire tread wear per 1,000 miles (Y) and average driving speed (X) for two competing tire types (denoted A and B). The data shown in...

This problem involves the PERK study data discussed in Problem 12 in Chapter 8. Suppose that we want to compare the relationship between changes in refraction five years after surgery and baseline...

In Gruber's (1970) study of n = 104 individuals (discussed in Problem 10), the relationship between blood pressure change (SBPSL) and relative weight (RW), controlling for initial blood pressure...