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

17.2.7 - Key Agreement Problem

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Practice Questions

Test your understanding with targeted questions

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.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

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.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

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.

Challenge 2 Hard

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.

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