Practice Computational Difficulty Of Discrete Logarithm (17.2.3) - More Applications of Groups

Practice: Computational Difficulty of Discrete Logarithm

Lesson 17.2.3More Applications of Groups

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8 questions

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2 cards from this section. Quick, good the night before a test.
Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
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Quiz
2 questions · about 1 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
Define a discrete logarithm within a cyclic group.
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Think about how logarithms work in general.
Question 2.
What is the complexity of the brute-force algorithm for computing discrete logarithms?
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Consider how many elements are in a cyclic group.
3Question 3.
What does the discrete logarithm measure?
- The number of elements in a group
- The exponent of a generator yielding a group element
- The sum of a series
- The average of a group
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Relate it to the concept of logarithms you already know.
4Question 4.
True or False: The difficulty of solving DLP is crucial for the security of cryptographic systems.
- True
- False
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Think about how secure communications depend on problem complexity.
Question 5.
Consider a cyclic group of order 7 generated by 3. What is the discrete logarithm of 6 to the base 3?
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Calculate powers of the generator one by one.
Question 6.
Explain how the difficulty of the DLP can lead to vulnerabilities in cryptographic protocols. Provide an example.
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Reflect on real-world implications of breaking encryption schemes.

4 more questions in this section. Enroll free to practise them all.