1. Obtain the generator polynomial of the single-error-correcting BCH code. Use GF(23) which is constructed using the primitive polynomial p(x) . x3 + x2 + 1. 2. Obtain the generator polynomial of the...

1. Obtain the generator polynomial of the single-error-correcting BCH code. Use
GF(2³) which is constructed using the primitive polynomial p(x) . x³
+ x²
+ 1.

2. Obtain the generator polynomial of the double-error-correcting BCH code. Use
GF(2⁴) which is constructed using the primitive polynomial p(x) . x⁴
+ x³
+ 1.