Practice Applications of Discrete Log Problem in Cryptography - 17.2.6 | 17. More Applications of Groups | Discrete Mathematics - Vol 3
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Define the discrete logarithm.

💡 Hint: Think about the structure of logarithms in general.

Question 2

Easy

What is a cyclic group?

💡 Hint: Consider what defines group structure in mathematics.

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 does the discrete logarithm problem involve?

  • Calculating the order of a group
  • Finding the exponent x in g^x = y
  • Determining the generator of a group

💡 Hint: Focus on the relationship between operations and exponents.

Question 2

True or False: The Diffie-Hellman protocol allows two parties to create a shared secret key using DLP.

  • True
  • False

💡 Hint: Think about what the protocol aims to achieve.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

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.

Question 2

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.

Challenge and get performance evaluation