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 $\mathbb{F}_7$. Find a generator for $\mathbb{F}_7$ and re-write the table in terms of the generator.

   

3. Write a multiplication table for the 9 elements in $\mathbb{F}_3[\sqrt2].$

Links

• Main reference page
• Slides & recording from RISC Zero Study Club
• RISC Zero Discord