The statement S1 is true and S2 is false.

The given polynomial is : x^6+1

Highest degree of polynomial is 6

So all the burst errors with Length<=6 will be detected. So

S1:This generator can detect all burst errors with a length of 5 bits. :is true

s2:This generator can detect some but not all burst errors with a length of 6 bits.is false asa all errors of length 6 can be detetced.