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2 cards from this section. Quick, good the night before a test.
What is 10 mod 3?
Think about how many times `3` fits into `10`.
Is 9 ≡ 3 mod 6 true or false?
What is the remainder of both `9` and `3` when divided by `6`?
What is -11 mod 3?
Convert negative to positive equivalent.
True or False: Division is always well-defined in modular arithmetic.
Consider the conditions under which division holds.
Given a = 12, b = 15, and N = 10, calculate (a * b) mod N using modular properties. Then explore how changing N affects the result.
Perform multiplication first, then apply mod.
Implement and analyze the efficiency of the square-and-multiply algorithm for calculating a^b mod N for large b. Discuss the time complexity.
Focus on breaking down the exponent into binary for efficiency.
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