1. A long-winded, encrypted transmission has been intercepted. Frequency analysis of the entire transmis- sion reveals that the most most used letter in the ciphertext is an R whereas the least used character in the ciphertext is an X. Use this information to break the cipher and decrypt the following excerpt from the transmission. Assume an affine cipher was used for encryption. SMRER TL CJ LQJJC 2. The following ciphertext message was encrypted using Vigenére Cipher cipher with keyword JEDI. MS. RZ MS QWC. XKMAI LA WS WZH. Determine the plaintext message. 3. The following ciphertext message was encrypted using the RSA algorithm and public key (2021,97). 1259 0854 1647 1139 Determine the plaintext message. 4. 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. The following two lines of ciphertext were created using a Verman cipher and Baudot code. 01011 11010 00110 10110 01001 01100 10101 10011 01111 10011 00001 01101 10110 00001 11000 01000 00000 01101 10101 10011 Using the first line of Chapter 2 in our textbook as the key, determine the plaintext message.

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**Cryptography Exercises and Problems**

1. **Affine Cipher Decryption**: 
   An intercepted encrypted message reveals that the most frequently used letter in the ciphertext is an R and the least used is X. Use this frequency analysis and the assumption of an affine cipher to decrypt the following transmission excerpt:
   
   `SMRER TL CJ LQJJC`

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

3. **RSA Decryption**:
   The following ciphertext message was encrypted using the RSA algorithm and public key (2021, 97). Find the corresponding plaintext message:
   
   `1259 0854 1647 1139`

4. **ElGamal Encryption**:
   a. Using the ElGamal cryptosystem, encrypt a message. The plaintext should be a recognizable word or phrase with at least eight alphabetic characters. Divide the numerical plaintext into two-digit blocks. Use a unique ephemeral key (j) to encrypt each block. The provided public key is (89,14,8).

5. **Verman Cipher and Baudot Code**:
   The following lines of ciphertext were created using a Verman cipher and Baudot code. Use the first line of Chapter 2 in our textbook as the key to determine the plaintext message:
   
   `01011 11010 00110 10110 01000 01100 10101 10011 01111 10011`
   
   `00001 01101 10110 00001 11000 01000 00000 01101 10101 10011`

6. **The Ciphertext**: 
   This task involves analyzing given ciphertexts and decrypting them using different cryptographic methods as described above.

*Note: The details provided require a foundational understanding of cryptography, including cipher techniques like affine, Vigenère, RSA, ElGamal, and Verman ciphers.*
Transcribed Image Text:**Cryptography Exercises and Problems** 1. **Affine Cipher Decryption**: An intercepted encrypted message reveals that the most frequently used letter in the ciphertext is an R and the least used is X. Use this frequency analysis and the assumption of an affine cipher to decrypt the following transmission excerpt: `SMRER TL CJ LQJJC` 2. **Vigenère Cipher Decryption**: The ciphertext message below was encrypted using the Vigenère Cipher with the keyword JEDI. Determine the plaintext message: `MS. RZ MS QWC. XKMAI LA WS WZH.` 3. **RSA Decryption**: The following ciphertext message was encrypted using the RSA algorithm and public key (2021, 97). Find the corresponding plaintext message: `1259 0854 1647 1139` 4. **ElGamal Encryption**: a. Using the ElGamal cryptosystem, encrypt a message. The plaintext should be a recognizable word or phrase with at least eight alphabetic characters. Divide the numerical plaintext into two-digit blocks. Use a unique ephemeral key (j) to encrypt each block. The provided public key is (89,14,8). 5. **Verman Cipher and Baudot Code**: The following lines of ciphertext were created using a Verman cipher and Baudot code. Use the first line of Chapter 2 in our textbook as the key to determine the plaintext message: `01011 11010 00110 10110 01000 01100 10101 10011 01111 10011` `00001 01101 10110 00001 11000 01000 00000 01101 10101 10011` 6. **The Ciphertext**: This task involves analyzing given ciphertexts and decrypting them using different cryptographic methods as described above. *Note: The details provided require a foundational understanding of cryptography, including cipher techniques like affine, Vigenère, RSA, ElGamal, and Verman ciphers.*
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