6. Cryptography, the science of encrypting and deciphering messages written in secret codes, has played a vital role in securing information since ancient times. More recently, with millions of...


6. Cryptography, the science of encrypting and deciphering messages written in<br>secret codes, has played a vital role in securing information since ancient times.<br>More recently, with millions of financial transactions conducted over the Internet<br>daily, cryptography has become more important than ever. Companies has<br>begun to make online transactions more secure by installing encryption software<br>to prevent sensitive information such as credit card numbers from falling into the<br>wrong hands.<br>Cryptology is real-world application of matrix inverses and used to encode and<br>decode secret messages.<br>Solve the problem below using the application of matrices in cryptography. The<br>ciphers that will be used is called Hill ciphers.<br>Coding system<br>Each letter is assigned a number based on its position.<br>ABCDEFGHI JKLM<br>1 2 3 4 5 6 7 8 9 10 11 12 13<br>NOPQ RSTUVWXY Z<br>14 15 16 17 18 19 20 21 22 23 24 25 0<br>To get the numbers in the code range (0 to 25), reduce the numbers in the<br>matrices to their equivalents mod 26.<br>You need to show all the steps involved in encoding and decoding the given<br>messages.<br>Questions:<br>b) Decode the message<br>RSCTOXMVAPYLXQIZQQ<br>4 1<br>Given that it is a Hill cipher with enciphering matrix<br>3 2<br>

Extracted text: 6. Cryptography, the science of encrypting and deciphering messages written in secret codes, has played a vital role in securing information since ancient times. More recently, with millions of financial transactions conducted over the Internet daily, cryptography has become more important than ever. Companies has begun to make online transactions more secure by installing encryption software to prevent sensitive information such as credit card numbers from falling into the wrong hands. Cryptology is real-world application of matrix inverses and used to encode and decode secret messages. Solve the problem below using the application of matrices in cryptography. The ciphers that will be used is called Hill ciphers. Coding system Each letter is assigned a number based on its position. ABCDEFGHI JKLM 1 2 3 4 5 6 7 8 9 10 11 12 13 NOPQ RSTUVWXY Z 14 15 16 17 18 19 20 21 22 23 24 25 0 To get the numbers in the code range (0 to 25), reduce the numbers in the matrices to their equivalents mod 26. You need to show all the steps involved in encoding and decoding the given messages. Questions: b) Decode the message RSCTOXMVAPYLXQIZQQ 4 1 Given that it is a Hill cipher with enciphering matrix 3 2

Jun 07, 2022
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