Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Question 3 

### Cryptography Challenge Problems

**2. Vigenère Cipher Decryption Task**

The following ciphertext message was encrypted using the Vigenère Cipher with the keyword "JEDI":
```
MS. RZ MS QWC. XKMAI LA WS WZH.
```
Determine the plaintext message.

---

**3. RSA Decryption Task**

The following ciphertext message was encrypted using the RSA algorithm with the public key (2021, 97):
```
1259 0854 1647 1139
```
Determine the plaintext message.

---

**4. ElGamal Cryptosystem Task**

Using the ElGamal cryptosystem, create and encrypt a message for me. The plaintext message must be a recognizable word or phrase and at least eight alphabetic characters long. Divide the numerical plaintext into two-digit blocks. Use a unique ephemeral key (j) to encrypt each block. My public key is (89,14,8).

---

**5. Vernam Cipher and Baudot Code Task**

The following two lines of ciphertext were created using a Vernam cipher and Baudot code:
```
01011 11010 00110 10100 01001 01010 10011 01111 10011
00001 01101 10110 00001 11000 00000 01101 10101 10011
```

Using the first line of Chapter 2 in our textbook as the key, determine the plaintext message.

---

**6. Unscramble Ciphertext Challenge**

The ciphertext is:
```
HAGO UM MHE UFUOM!
```
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Transcribed Image Text:### Cryptography Challenge Problems **2. Vigenère Cipher Decryption Task** The following ciphertext message was encrypted using the Vigenère Cipher with the keyword "JEDI": ``` MS. RZ MS QWC. XKMAI LA WS WZH. ``` Determine the plaintext message. --- **3. RSA Decryption Task** The following ciphertext message was encrypted using the RSA algorithm with the public key (2021, 97): ``` 1259 0854 1647 1139 ``` Determine the plaintext message. --- **4. ElGamal Cryptosystem Task** Using the ElGamal cryptosystem, create and encrypt a message for me. The plaintext message must be a recognizable word or phrase and at least eight alphabetic characters long. Divide the numerical plaintext into two-digit blocks. Use a unique ephemeral key (j) to encrypt each block. My public key is (89,14,8). --- **5. Vernam Cipher and Baudot Code Task** The following two lines of ciphertext were created using a Vernam cipher and Baudot code: ``` 01011 11010 00110 10100 01001 01010 10011 01111 10011 00001 01101 10110 00001 11000 00000 01101 10101 10011 ``` Using the first line of Chapter 2 in our textbook as the key, determine the plaintext message. --- **6. Unscramble Ciphertext Challenge** The ciphertext is: ``` HAGO UM MHE UFUOM! ```
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