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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the discrete logarithm of 1 to any base g in a cyclic group?
💡 Hint: Think about the exponent needed to get the identity element.
Question 2
Easy
Is it possible for a cyclic group to have no generators?
💡 Hint: Recall the definition of cyclic groups.
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 1 for any base g?
- True
- False
💡 Hint: Recall the fundamental property of logarithms.
Question 2
In the group Z_5, if g=2 and y=4, what is the discrete log?
- 1
- 2
- 3
- 4
💡 Hint: Calculate powers of g modulo 5.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
In a large cyclic group Z_{23} where g=5, compute the discrete log of y=17 using brute force and provide a step-by-step explanation.
💡 Hint: Keep calculating powers until matching y=17.
Question 2
Explain why an efficient algorithm for computing discrete logarithm in Z*_p (where p is prime) is currently conjectured to exist or not.
💡 Hint: Focus on patterns in behavior.
Challenge and get performance evaluation