# Past Exam for CMSC 414 - CMPTR & NETWORK SECURITY at Maryland (UMD)

## Exam Information

 Material Type: Exam 1 Professor: Staff Class: CMSC 414 - CMPTR & NETWORK SECURITY Subject: Computer Science University: University of Maryland Term: -- Keywords: ParticularlyThe MessageEnvironmentThe EnvironmentAuthenticationThe InternetRelatively PrimeIntroductionNetwork Security

## Sample Document Text

CMSC 414 S06 Exam 1 Page 1 of 4 Name:_________________________ _____________________________________________________________________________________ Total points: 30. Total time: 115 minutes. 4 problems over 4 pages. No book, notes, or calculator 1. [10 points] Suppose Bob uses RSA with n=77 and e=5. Are these valid numbers for RSA. Explain. If you answer yes, obtain the corresponding d. CMSC 414 S06 Exam 1 Page 2 of 4 Name:_________________________ 2. [5 points] Assume that Bob uses RSA and the following hold: square4 n=15 square4 Bob's signature of message m=2 is 5 square4 Bob's signature of message m=3 is 4 Obtain Bob's signature for the message m=12. Show your derivation here. 3. [5 points] How many numbers between 1 and 250000 are relatively prime to 250000? Explain CMSC 414 S06 Exam 1 Page 3 of 4 Name:_________________________ 4. [10 points] Using the efficient algorithm...

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