Show work question 3 4.5. Key Agreement305What makes the recovery of this key so easy? [Hint: Look at a table ofralues of 6 (mod 37).J From Bob and Alice's viewpoint what wouldbe a better choice of s ?251 and base s = 53 are published. Alice4. Suppose the prime pand Bob want to use the Diffie-Hellman key agreement protocol toestablish an 8-bit keyword for binary Vigenère encipherment. Aliceselects a number at random: a =random: 6 = 55. What is the key that they agree on?%3D63. Bob also selects a number at5. Alice and Bob are using the Diffie-Hellman key agreement protocol toagree on a key for a shift cipher. Suppose that the public prime andDase are p = 23 and s = 5, and that Bob's private key is b = 6. If he%3Dreceives the message21, KLSQSOSCW, (c) Which numbers are generators?(a) 5 = 2 (mod 17)(b) 10 = 4 (mod 12)(c) 2" = 1024 (mod 3027)(d) 23 = 25 (mod 26)ovalidiescl ler3. Suppose that the published Diffie-Hellman prime and base are, resnes.6. If Alice sends Bob the number a = 36 andtively, pBob sends B = 31 to Alice, find the key on which they have agreed.37 and s =%3D

The solution to the given question is:

3. Suppose that the published Diffie-Hellman prime and base are. reen tively, p = 37 and s = 6. If Alice sends Bob the number a = 36 and Bob sends B = 31 to Alice, find the key on which they have agreed. %3D

3. Suppose that the published Diffie-Hellman prime and base are. reen tively, p = 37 and s = 6. If Alice sends Bob the number a = 36 and Bob sends B = 31 to Alice, find the key on which they have agreed. %3D

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Question

Show work question 3

4.5. Key Agreement
305
What makes the recovery of this key so easy? [Hint: Look at a table of
ralues of 6 (mod 37).J From Bob and Alice's viewpoint what would
be a better choice of s ?
251 and base s = 53 are published. Alice
4. Suppose the prime p
and Bob want to use the Diffie-Hellman key agreement protocol to
establish an 8-bit keyword for binary Vigenère encipherment. Alice
selects a number at random: a =
random: 6 = 55. What is the key that they agree on?
%3D
63. Bob also selects a number at
5. Alice and Bob are using the Diffie-Hellman key agreement protocol to
agree on a key for a shift cipher. Suppose that the public prime and
Dase are p = 23 and s = 5, and that Bob's private key is b = 6. If he
%3D
receives the message
21, KLSQSOSCW,

(c) Which numbers are generators?
(a) 5 = 2 (mod 17)
(b) 10 = 4 (mod 12)
(c) 2" = 1024 (mod 3027)
(d) 23 = 25 (mod 26)
oval
idiescl ler
3. Suppose that the published Diffie-Hellman prime and base are, resnes.
6. If Alice sends Bob the number a = 36 and
tively, p
Bob sends B = 31 to Alice, find the key on which they have agreed.
37 and s =
%3D

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