17.2.6 - Applications of Discrete Log Problem in Cryptography
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Practice Questions
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Define the discrete logarithm.
💡 Hint: Think about the structure of logarithms in general.
What is a cyclic group?
💡 Hint: Consider what defines group structure in mathematics.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does the discrete logarithm problem involve?
💡 Hint: Focus on the relationship between operations and exponents.
True or False: The Diffie-Hellman protocol allows two parties to create a shared secret key using DLP.
💡 Hint: Think about what the protocol aims to achieve.
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Challenge Problems
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Given g = 5 in a cyclic group of order 11, calculate the discrete logarithm of y = 3.
💡 Hint: Calculate the powers of g step by step until you find the matching value.
Assess the security implications of using a widely known DLP where algorithms exist to solve it efficiently.
💡 Hint: Research any known vulnerabilities in popular cryptographic systems.
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