Practice Key Agreement Problem (17.2.7) - More Applications of Groups - Discrete Mathematics

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6 sample questions

Question 1.
What is a discrete logarithm?
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Think about how logarithms work in basic mathematics.
Question 2.
What is a cyclic group?
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Consider how one number can generate multiple outcomes through exponentiation.
3Question 3.
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
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Think about the relationship between log and power.
4Question 4.
The Diffie-Hellman protocol allows for secure communication over public channels without prior secret exchange.
- True
- False
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Recall the central purpose of the Diffie-Hellman method.
Question 5.
Given a cyclic group of order 7, with a generator g=3, calculate the discrete log for y=5.
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Calculate the powers of 3 and reduce modulo 7.
Question 6.
Explain why the security of communications depends on the computational difficulty of discrete logarithms.
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Think about the relationship between the group's structure and the challenge faced.

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