17.2.1 - Discrete Logarithm and the Discrete Logarithm Problem
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Practice Questions
Test your understanding with targeted questions
Define the term 'generator' in the context of cyclic groups.
💡 Hint: Think about how you can create all elements using one element.
What is the unique integer in the discrete log definition?
💡 Hint: Look at the equation we discussed.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the discrete logarithm of y=81 if the base g=3?
💡 Hint: Think of powers of 3.
The discrete logarithm of the identity element is always 0.
💡 Hint: Recall the property of identity operations.
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Challenge Problems
Push your limits with advanced challenges
Given g = 5 and y = 25 in a cyclic group of order 6. Compute the discrete log.
💡 Hint: Start checking powers of 5.
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.
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