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

Database System Concepts
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Chapter1: Introduction
Section: Chapter Questions
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**Cryptography Problems and Exercises**

1. **Affine Cipher Problem:**
   - A long-winded, encrypted transmission has been intercepted. Frequency analysis reveals that the most used letter in the ciphertext is R, whereas the least used character is 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. **Vigenère Cipher Problem:**
   - 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 Algorithm Problem:**
   - The following ciphertext message was encrypted using the RSA algorithm and public key (2021,97).
   
   ```
   1259 0854 1647 1139
   ```

   - Determine the plaintext message.

4. **ElGamal Cryptosystem Exercise:**
   - Using the ElGamal cryptosystem, create and encrypt a message. 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. **Verman Cipher and Baudot Code Problem:**
   - The following two lines of ciphertext were created using a Verman cipher and Baudot code.

   ```
   01011 11010 00110 10101 10101 10011 01111 10101
   00001 01101 10110 00000 01101 10101 10011
   ```

These exercises provide practice in decrypting and encrypting messages using different ciphers, offering a comprehensive understanding of cryptographic techniques.
Transcribed Image Text:**Cryptography Problems and Exercises** 1. **Affine Cipher Problem:** - A long-winded, encrypted transmission has been intercepted. Frequency analysis reveals that the most used letter in the ciphertext is R, whereas the least used character is 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. **Vigenère Cipher Problem:** - 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 Algorithm Problem:** - The following ciphertext message was encrypted using the RSA algorithm and public key (2021,97). ``` 1259 0854 1647 1139 ``` - Determine the plaintext message. 4. **ElGamal Cryptosystem Exercise:** - Using the ElGamal cryptosystem, create and encrypt a message. 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. **Verman Cipher and Baudot Code Problem:** - The following two lines of ciphertext were created using a Verman cipher and Baudot code. ``` 01011 11010 00110 10101 10101 10011 01111 10101 00001 01101 10110 00000 01101 10101 10011 ``` These exercises provide practice in decrypting and encrypting messages using different ciphers, offering a comprehensive understanding of cryptographic techniques.
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