1. Let q = 7 and t = 3. Choose a = 3. (a) Find the...

 

Transcribed Image Text:

1. Let q = 7 and t = 3. Choose a = 3. (a) Find the generator polynomial g(x) and the generator matrix for the new Reed Solomon code. (b) What are n, k, d? (c) Encode the data (1, 2, 1, 0). (d) You receive the codeword (5, 1, 1, 3, 0, 0). What is the data? (e) You receive the codeword (3, 0, 5, 2, 0, 0). Show that an error occurred. If exactly one error occurred, find the data. KM-1-1-6 1. Let q = 7 and t = 3. Choose a = 3. (a) Find the generator polynomial g(x) and the generator matrix for the new Reed Solomon code. (b) What are n, k, d? (c) Encode the data (1, 2, 1, 0). (d) You receive the codeword (5, 1, 1, 3, 0, 0). What is the data? (e) You receive the codeword (3, 0, 5, 2, 0, 0). Show that an error occurred. If exactly one error occurred, find the data. KM-1-1-6