Practice Key Agreement Problem - 17.2.7 | 17. More Applications of Groups | Discrete Mathematics - Vol 3
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Practice Questions

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Question 1

Easy

What is a discrete logarithm?

💡 Hint: Think about how logarithms work in basic mathematics.

Question 2

Easy

What is a cyclic group?

💡 Hint: Consider how one number can generate multiple outcomes through exponentiation.

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?

  • The log of a number in base 2
  • The power needed to express an element as a generator's power
  • A type of encryption method

💡 Hint: Think about the relationship between log and power.

Question 2

The Diffie-Hellman protocol allows for secure communication over public channels without prior secret exchange.

  • True
  • False

💡 Hint: Recall the central purpose of the Diffie-Hellman method.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given a cyclic group of order 7, with a generator g=3, calculate the discrete log for y=5.

💡 Hint: Calculate the powers of 3 and reduce modulo 7.

Question 2

Explain why the security of communications depends on the computational difficulty of discrete logarithms.

💡 Hint: Think about the relationship between the group's structure and the challenge faced.

Challenge and get performance evaluation