17.1 - Discrete Mathematics
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Practice Questions
Test your understanding with targeted questions
What is the definition of a discrete logarithm?
💡 Hint: Think about the relationship between exponents and logarithms.
What is the order of a cyclic group?
💡 Hint: Remember, it's all about how many unique elements can be generated.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the discrete logarithm of y if g = 5 and y = 25?
💡 Hint: Think of what power of g results in y.
True or False: The brute-force method is the most efficient way to calculate discrete logarithms.
💡 Hint: Think about the amount of time it would take as the group size increases.
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Challenge Problems
Push your limits with advanced challenges
Given g = 7 and y = 1 (the identity), what is the discrete logarithm?
💡 Hint: Think about the properties of exponents and identity in groups.
Demonstrate how the difficulty of discrete logarithms can impact security in a cryptographic protocol.
💡 Hint: Consider the relationship between computation time and security.
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Reference links
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