(c) Select one value that would be suitable and another that would not be suitable as an enciphering exponent for an Exponential Cipher with a modulus of 1927 (with prime factorisation 1927 = 41 x 47) from the following list 4, 5, 7, 8. Give reasons for your answers.

Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
icon
Related questions
Question
please send complete handwritten solution step by step please Q4 part c
ALPHABET
In all questions, you should work with an alphabet of n = 37 symbols, as indicated below.
For individual symbols, you should use integer codes in the range 0 to 36 inclusive (therefore, you will be
mainly using arithmetic modulo n = 37), as indicated by the following table:
A
в
DEFG
0 1
JK
2
3
4
5
7
8
LM
O P
14 15
Q|R
S
10 11
12
13
16
17
18
19
TU
20 21
V.
W
Y
?
22
23
24 25 26 27
28
29
@
30 31
32 33
34 35 36
So, for example, the symbol C should be encoded as the integer 3.
Note: the space character (used to separate words) should be encoded by the integer 0.
Transcribed Image Text:ALPHABET In all questions, you should work with an alphabet of n = 37 symbols, as indicated below. For individual symbols, you should use integer codes in the range 0 to 36 inclusive (therefore, you will be mainly using arithmetic modulo n = 37), as indicated by the following table: A в DEFG 0 1 JK 2 3 4 5 7 8 LM O P 14 15 Q|R S 10 11 12 13 16 17 18 19 TU 20 21 V. W Y ? 22 23 24 25 26 27 28 29 @ 30 31 32 33 34 35 36 So, for example, the symbol C should be encoded as the integer 3. Note: the space character (used to separate words) should be encoded by the integer 0.
Q4
(a) Xavier has intercepted a ciphertext that was enciphered using a General Multplication-Shift Cipher,
with a modulus of n = 231. Find o(n) and hence determine the number of ciphers that he might
need to try if he uses a brute-force method to try to break the code.
(b) Cassandra has intercepted a ciphertext that was enciphered using an Exponential Cipher, with a
modulus of n = 4307. If she uses a brute-force approach, how many exponents might she have to
try? (Note that the prime factorisation of 4307 is 59 x 73.)
(c) Select one value that would be suitable and another that would not be suitable as an enciphering
exponent for an Exponential Cipher with a modulus of 1927 (with prime factorisation 1927 =
41 x 47) from the following list 4, 5, 7, 8. Give reasons for your answers.
Transcribed Image Text:Q4 (a) Xavier has intercepted a ciphertext that was enciphered using a General Multplication-Shift Cipher, with a modulus of n = 231. Find o(n) and hence determine the number of ciphers that he might need to try if he uses a brute-force method to try to break the code. (b) Cassandra has intercepted a ciphertext that was enciphered using an Exponential Cipher, with a modulus of n = 4307. If she uses a brute-force approach, how many exponents might she have to try? (Note that the prime factorisation of 4307 is 59 x 73.) (c) Select one value that would be suitable and another that would not be suitable as an enciphering exponent for an Exponential Cipher with a modulus of 1927 (with prime factorisation 1927 = 41 x 47) from the following list 4, 5, 7, 8. Give reasons for your answers.
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
Computer Networking: A Top-Down Approach (7th Edi…
Computer Networking: A Top-Down Approach (7th Edi…
Computer Engineering
ISBN:
9780133594140
Author:
James Kurose, Keith Ross
Publisher:
PEARSON
Computer Organization and Design MIPS Edition, Fi…
Computer Organization and Design MIPS Edition, Fi…
Computer Engineering
ISBN:
9780124077263
Author:
David A. Patterson, John L. Hennessy
Publisher:
Elsevier Science
Network+ Guide to Networks (MindTap Course List)
Network+ Guide to Networks (MindTap Course List)
Computer Engineering
ISBN:
9781337569330
Author:
Jill West, Tamara Dean, Jean Andrews
Publisher:
Cengage Learning
Concepts of Database Management
Concepts of Database Management
Computer Engineering
ISBN:
9781337093422
Author:
Joy L. Starks, Philip J. Pratt, Mary Z. Last
Publisher:
Cengage Learning
Prelude to Programming
Prelude to Programming
Computer Engineering
ISBN:
9780133750423
Author:
VENIT, Stewart
Publisher:
Pearson Education
Sc Business Data Communications and Networking, T…
Sc Business Data Communications and Networking, T…
Computer Engineering
ISBN:
9781119368830
Author:
FITZGERALD
Publisher:
WILEY