- Cryptography is the process of encrypting and decrypting information to secure it. - Encryption uses mathematical formulas to transform plaintext into an unreadable ciphertext. Having encryption and decryption keys that use numbers makes the information more secure. - Cryptography is needed because unencrypted internet traffic and Wi-Fi connections can be accessed by unauthorized parties. - The document proposes a cryptography method that uses matrix transformations including rotation, scaling, and translation on a "message matrix" to encrypt it, and reverse transformations to decrypt it. - It provides an example of encrypting the message "Maths Project :(" using this method and then decrypting it back to the original.

1. CRYPTOGRAP
HY
DONE BY: WU CHU JUN
INTAN SYAZWANI BTE JA’AFAR
MINDY SOH XI LIN

2. ENCRYPTION & DECRYPTION KEY USED IN
REAL LIFE
• Internet browsing has encryption to secure traffic
between user and the site.
• Encryption is used in ATM cards, account passwords
and electronic mails
• Used for file protection
• When one’s operating software automatically updates
over the Internet, it too will use a public key algorithm
to confirm the source of the software being updated
from, and not just someone trying to get into their

3. HOW MATHEMATICS HAS A PART TO PLAY
IN THIS PROCESS
•Using mathematical formulas or functions
applied to the data to transform the
unprotected information or plaintext, into an
undecipherable format known as ciphertext.
•Having numbers used in encryption and
decryption keys makes it more secure to deliver
information from one party to another, thus
any third party who has access to the hidden,

4. WHY DO WE NEED CRYPTOGRAPHY?
•If one does not use encrypted connection with
the server, anyone can get their hands on any
unsecured resources.
•For example, Wi-Fi is vulnerable to what they
call, “eavesdroppers” that are able to review raw
packets from a file sent over the network, and
gain access to contents of clear-text files.

5. OUR METHOD
• Thus, we would want to distort the original text into an
unreadable one, using mathematical formulas such as scaling,
translation and rotation about 90o in an anti-clockwise
We decided to implement what we have learnt from chapter 1
(Matrices) and 2 (Linear Transformation). We consider the
message as a graph, thus using the linear transformation
formulas provided.

6. OPERATION RED CAT
TABLE

7. ENCRYPTION KEY
• Rotation about
90o in an anti-
clockwise
direction (T1)










100
020
002









 
100
001
010










100
910
601
• Scaling (T2) • Translation (T3)









 
100
1802
1220
Encryption Key =
(T3T2T1)

8. DECRYPTION KEY
• Rotation about
90o in an anti-
clockwise
direction (T1)











100
001
010












100
910
601










100
05.00
005.0












100
605.0
95.00
• Scaling (T2) • Translation (T3)
Decryption Key = (T1
-1T2
-
1T3
-1)

9. PROCESS
•Message: Maths Project :(










11111111
)(:
()()(
nullteoPha
spacecjrspacetM










11111111
02145258573467
70237563524584
*Matrix of message based on Operation Red Cat table

10. ENCRYPTION PROCESS









 
100
1802
1220










11111111
02145258573467
70237563524584









 
11111111
15822921308822108186
12307838158134802

11. DECRYPTION PROCESS












100
605.0
95.00









 
11111111
15822921308822108186
12307838158134802










11111111
02145258573467
70237563524584

12. TA-DAAAA!
• Referring back to the Operation Red Cat
table… message decrypted: Maths Project
:(










11111111
)(:
()()(
nullteoPha
spacecjrspacetM










11111111
02145258573467
70237563524584

13. THANK YOU FOR YOUR ATTENTION! 