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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define the term 'generator' in the context of cyclic groups.
💡 Hint: Think about how you can create all elements using one element.
Question 2
Easy
What is the unique integer in the discrete log definition?
💡 Hint: Look at the equation we discussed.
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 is the discrete logarithm of y=81 if the base g=3?
- 2
- 4
- 3
- 5
💡 Hint: Think of powers of 3.
Question 2
The discrete logarithm of the identity element is always 0.
- True
- False
💡 Hint: Recall the property of identity operations.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given g = 5 and y = 25 in a cyclic group of order 6. Compute the discrete log.
💡 Hint: Start checking powers of 5.
Question 2
In a secure key exchange between two parties, explain how knowledge of the discrete logarithm can compromise security.
💡 Hint: Consider how public information can lead to discovering private details.
Challenge and get performance evaluation