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About Finite Fields

This page contains a few practice problems to test your understanding of finite fields.

Practice Problems:

  1. On the alien world of Whfoiufds, the day has 17 hours. What time is it 100 hours after 3 o'clock?
  2. Below is a multiplication table for F7\mathbb{F}_7. Find a generator for F7\mathbb{F}_7 and re-write the table in terms of the generator. mod 7 multiplication table
  3. Write a multiplication table for the 9 elements in F3[2].\mathbb{F}_3[\sqrt2].