Practice Discrete Mathematics - 17.1 | 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

What is the definition of a discrete logarithm?

💡 Hint: Think about the relationship between exponents and logarithms.

Question 2

Easy

What is the order of a cyclic group?

💡 Hint: Remember, it's all about how many unique elements can be generated.

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 y if g = 5 and y = 25?

  • 1
  • 2
  • 3
  • 4

💡 Hint: Think of what power of g results in y.

Question 2

True or False: The brute-force method is the most efficient way to calculate discrete logarithms.

  • True
  • False

💡 Hint: Think about the amount of time it would take as the group size increases.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given g = 7 and y = 1 (the identity), what is the discrete logarithm?

💡 Hint: Think about the properties of exponents and identity in groups.

Question 2

Demonstrate how the difficulty of discrete logarithms can impact security in a cryptographic protocol.

💡 Hint: Consider the relationship between computation time and security.

Challenge and get performance evaluation