reed solomon code over odd characteristic field

please help! how can i obtain a gen matrix and gen polynimial for reed solomon codes over odd characteristic field? all tolls that i found were intended for fields over GF(2^m).

Answer 1

[R]

You can use the rsgenpoly function in MATLAB to get the generator polynomial of Reed-Solomon code.

If you want to use a primitive polynomial other than GF(2^m), you can specify it in the 'prim_poly' input argument of the function. Here is the documentation for the same:

https://www.mathworks.com/help/comm/ref/rsgenpoly.html#mw_ac43fa60-10e3-49e1-ac46-4c693de5e538:~:text=prim_poly%20%E2%80%94%20Primitive%20polynomial