The ciphertext message below was encrypted using affine transformation C = P + k(mod 26),0 ≤ CS 25. YFXMP CESPZC JTDBF PPYZQX LESPX LETND a) By completing the following table, find the most frequently occurring letter in the ciphertext. Letter Number of Occurrence Numerical Frequency (5) Question (b) is based on the information in tables below and answer in Question (a). Letter Numenical Frequency (in %) A 7 AB N 13 8 1 O 14 7 3 P 15 3 4 Q 16 <1 13 R 17 8 3 2 18 19 6 9 8 U V 20 21 3 W 22 1 VWXYZ M 10 11 12 41 4 3 X 23 Y Z 24 2 41 The tables show that the most frequently occurring letters in English text are E, T, N, R, I, O and A, with E occurring substantially more than the other letters. b) Determine what is the letter that represents C and P in affine transformation C = P+ k(mod 26),0 ≤ C≤ 25. Then, show that the value of k = 11(mod 26). c) What is the plaintext message?

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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Answer ALL questions.
The ciphertext message below was encrypted using affine transformation C = P +
k(mod 26),0 ≤ C ≤ 25.
YFXMP CESPZC JTDBF PPYZQX LESPX LETND
a) By completing the following table, find the most frequently occurring letter in the
ciphertext.
Letter
Number of
Occurrence
Question (b) is based on the information in tables below and answer in Question (a).
A B C
1
2
3
Numerical 0
equivalent
Frequency 7
(in %)
Letter
Numenical
equivalent
Frequency 8
(in %)
N
13
ABCD E FGHIJKLMNOPQRSTUVWXYZ
1
0
14
7
P
15
3
D
4
Q
16
<1
E
13
13
R
17
8
F
5
3
S
18
6
G
2
T
19
9
H L
3
U
20
3
8
V
21
1
JK
9
<1
W
22
10
<1
LM
<1
11
4
X
Y
23 24
2
12
3
Z
25
<1
The tables show that the most frequently occurring letters in English text are E, T, N, R, I, O
and A, with E occurring substantially more than the other letters.
b) Determine what is the letter that represents C and P in affine transformation C = P +
k(mod 26),0 ≤ C≤ 25. Then, show that the value of k = 11(mod 26).
c) What is the plaintext message?
Transcribed Image Text:Answer ALL questions. The ciphertext message below was encrypted using affine transformation C = P + k(mod 26),0 ≤ C ≤ 25. YFXMP CESPZC JTDBF PPYZQX LESPX LETND a) By completing the following table, find the most frequently occurring letter in the ciphertext. Letter Number of Occurrence Question (b) is based on the information in tables below and answer in Question (a). A B C 1 2 3 Numerical 0 equivalent Frequency 7 (in %) Letter Numenical equivalent Frequency 8 (in %) N 13 ABCD E FGHIJKLMNOPQRSTUVWXYZ 1 0 14 7 P 15 3 D 4 Q 16 <1 E 13 13 R 17 8 F 5 3 S 18 6 G 2 T 19 9 H L 3 U 20 3 8 V 21 1 JK 9 <1 W 22 10 <1 LM <1 11 4 X Y 23 24 2 12 3 Z 25 <1 The tables show that the most frequently occurring letters in English text are E, T, N, R, I, O and A, with E occurring substantially more than the other letters. b) Determine what is the letter that represents C and P in affine transformation C = P + k(mod 26),0 ≤ C≤ 25. Then, show that the value of k = 11(mod 26). c) What is the plaintext message?
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