What is the Reed Solomon code defined over F7 with ↵ = 3, b = 4, and # = 4? What is its dimension and distance?
What is the Reed Solomon code defined over F5 with ↵ = 2, b = 0, and # = 3? What is its dimension and distance?
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.
Find one primitive root in Z/13Z. For extra credit, find more than one. For extra extra credit, find them all.
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?