5b) Decode the following message that was encoded using B (C) ()O) 8 -11 -8 -7 9. -37 -39 -32 5c) Is it possible to use the matrix 2 -1 C = 2 -4 to encrypt and decrypt messages? Explain why.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.7: Distinguishable Permutations And Combinations
Problem 29E
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Cryptography
Suppose there is a correspondence between letters and numbers where each letter is represented
by the number shown below. Spaces are ignored.
D
E
F
H
J
K
M
1
3
4
8
9.
10
11
12
13
T
U
V
W X Y
Z
14
15
16 17
18
19
20 21
22 23 24 25 26
To write your message in numbers, you divide the message in pairs of letters and associate them
to the following numbers. For example if you want to encode the word "ELEPHANT" you start with
the pre-encoded message
14
20
which results in
16
To encode a message using a matrix A, you need to multiply A on the left by each two letter
message. If
1
A =
-1
you encode the first two letters EL with
GO)-G)
You repeat the same procedure for the entire pre-encoded message and create the encoded
message.
To decode NT:mTessade VOumuitioVATOThereiwth each pair. For example to decode
AINH
Transcribed Image Text:... app.crowdmark.com Cryptography Suppose there is a correspondence between letters and numbers where each letter is represented by the number shown below. Spaces are ignored. D E F H J K M 1 3 4 8 9. 10 11 12 13 T U V W X Y Z 14 15 16 17 18 19 20 21 22 23 24 25 26 To write your message in numbers, you divide the message in pairs of letters and associate them to the following numbers. For example if you want to encode the word "ELEPHANT" you start with the pre-encoded message 14 20 which results in 16 To encode a message using a matrix A, you need to multiply A on the left by each two letter message. If 1 A = -1 you encode the first two letters EL with GO)-G) You repeat the same procedure for the entire pre-encoded message and create the encoded message. To decode NT:mTessade VOumuitioVATOThereiwth each pair. For example to decode AINH
...
app.crowdmark.com a
To decode the message, you multiply A- to the left with each pair. For example to decode
().
you find the inverse of A which is
A =
so
which corresponds to the letters EL and then you apply the same procedure to all the encoded
message.
5a) Use matrix
B =
to encode the message "COME ON".
5b) Decode the following message that was encoded using B
-8
-39
-32
5c) Is it possible to use the matrix
-1
С -
-4
to encrypt and decrypt messages? Explain why.
+ Drag and drop an image or PDF file or click to browse...
Transcribed Image Text:... app.crowdmark.com a To decode the message, you multiply A- to the left with each pair. For example to decode (). you find the inverse of A which is A = so which corresponds to the letters EL and then you apply the same procedure to all the encoded message. 5a) Use matrix B = to encode the message "COME ON". 5b) Decode the following message that was encoded using B -8 -39 -32 5c) Is it possible to use the matrix -1 С - -4 to encrypt and decrypt messages? Explain why. + Drag and drop an image or PDF file or click to browse...
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