1. Problem 7.6 from the Paar textbook. Show your work. (Compute 15^103 mod 143 using the square and multiply algorithm. Do you get x=141 mod 143?)
  2. Problem 7.7 from the Paar textbook. Show your work. (Do the decryption with CRT in part 1. Then encrypt that plaintext as usual with RSA. Do you get 2 as the ciphertext?)
  3. Problem 7.9 from the Paar textbook. Explain your answer.
  4. Problem 7.11 from the Paar textbook. Explain your answers.
  5. Problem 7.12 from the Paar textbook. Explain your answers. (Note that this problem goes onto the next page! There are 2 parts to this problem.) (Note 2: This problem is also discussed in the "Chosen Ciphertext Attack" section of Nielson, pp. 131-135.)

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