Practice More Applications of Groups - 17.2 | 17. More Applications of Groups | Discrete Mathematics - Vol 3
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the definition of a discrete logarithm?

💡 Hint: Think about how traditional logarithms work.

Question 2

Easy

In a cyclic group, what does a generator do?

💡 Hint: Recall the example of powers in mathematics.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What does the discrete logarithm represent in a cyclic group?

  • The base of the logarithm
  • The exponent that satisfies g^x = y
  • The value of y

💡 Hint: Consider what exponent means in mathematics.

Question 2

True or False: The Diffie-Hellman protocol allows two parties to establish a shared key without sharing their private keys.

  • True
  • False

💡 Hint: Think about the purpose of the protocol.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Suppose you have a cyclic group of order 7, with generator g = 3. Calculate the discrete logarithm of y = 5.

💡 Hint: List the powers of g until you reach y.

Question 2

Explain and prove why the discrete logarithm problem remains hard in multiplicative groups modulo a large prime.

💡 Hint: Focus on the nature of cyclic groups and modular arithmetic!

Challenge and get performance evaluation