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2 cards from this section. Quick, good the night before a test.
Define the term 'generator' in the context of cyclic groups.
Think about how you can create all elements using one element.
What is the unique integer in the discrete log definition?
Look at the equation we discussed.
What is the discrete logarithm of y=81 if the base g=3?
Think of powers of 3.
The discrete logarithm of the identity element is always 0.
Recall the property of identity operations.
Given g = 5 and y = 25 in a cyclic group of order 6. Compute the discrete log.
Start checking powers of 5.
In a secure key exchange between two parties, explain how knowledge of the discrete logarithm can compromise security.
Consider how public information can lead to discovering private details.
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