8. What is the Reed Solomon code defined over F7 with ? = 3, b = 4, and # = 4? What is its dimension and distance? 9. What is the Reed Solomon code defined over F5 with ? = 2, b = 0, and # = 3? What is its dimension and distance? 10. Prove explicitly (ie do not refer to the theorem from class) that the Reed Solomon code defined over F7 with ? = 3, b = 5, and # = 3 has distance 3. 11. Find one primitive root in Z/13Z. For extra credit, find more than one. For extra extra credit, find them all. 12. Use your answer to the previous problem to construct a Reed Solomon Code of length 12 and distance 5 defined over Z/13Z. What is its dimension?