(a) Consider the following message: SO THEY GOT THEIR It contains the individual characters: SOTHEY GOTITHEOR Group the letters into k-graphs with k = 2 (padding with extra spaces if needed). Encrypt the message using a Multiplication-Shift cipher with multiplier a = 53 and shift b = 11. Hint: when using k-graphs, remember to use arithmetic modulo N = n", where n is the size of your alphabet. (Show your working in detail.) (b) Let a = 355, M = 74896. Show that gcd(a, M) = 1. Hence find the mutliplicative inverse, %3D a- mod M. Show your working. (c) The following integers: 1090 1158 37 || 80 | 771 434 438 876 573 142 represent k-graphs with k = 2 (padded with extra spaces if needed) of a message that was %3D encrypted using a Multiplication-Shift cipher, with multiplier a = 49 and shift b = 31. Decrypt the %3D message. (Show your working in detail.)
(a) Consider the following message: SO THEY GOT THEIR It contains the individual characters: SOTHEY GOTITHEOR Group the letters into k-graphs with k = 2 (padding with extra spaces if needed). Encrypt the message using a Multiplication-Shift cipher with multiplier a = 53 and shift b = 11. Hint: when using k-graphs, remember to use arithmetic modulo N = n", where n is the size of your alphabet. (Show your working in detail.) (b) Let a = 355, M = 74896. Show that gcd(a, M) = 1. Hence find the mutliplicative inverse, %3D a- mod M. Show your working. (c) The following integers: 1090 1158 37 || 80 | 771 434 438 876 573 142 represent k-graphs with k = 2 (padded with extra spaces if needed) of a message that was %3D encrypted using a Multiplication-Shift cipher, with multiplier a = 49 and shift b = 31. Decrypt the %3D message. (Show your working in detail.)
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...
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Question
please send solution for part a
Transcribed Image Text:Q2
(a) Consider the following message:
SO THEY GOT THEIR
It contains the individual characters:
so|TH| EY GO|T THEIR
Group the letters into k-graphs with k = 2 (padding with extra spaces if needed). Encrypt the
message using a Multiplication-Shift cipher with multiplier a = 53 and shift b = 11.
Hint: when using k-graphs, remember to use arithmetic modulo N = n*, where n is the size of your
alphabet.
(Show your working in detail.)
(b) Let a = 355, M = 74896. Show that gcd(a, M) = 1. Hence find the mutiplicative inverse,
a- mod M.
Show your working.
(c) The following integers:
1090 1158 37|| 80 | 771 434 438 || 876 | 573 142
represent k-graphs with k = 2 (padded with extra spaces if needed) of a message that was
encrypted using a Multiplication-Shift cipher, with multiplier a = 49 and shift b = 31. Decrypt the
message. (Show your working in detail.)
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.
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