Consider a data encoding scheme whose convolution code has two generator polynomials:

G$0=101$ and G$1=110$

i$)$ Explain the significance of the generator polynomials and how the convolution works for data encoding $[2$ marks$]$

ii$)$ Compute the code rate r for this code. $|2$ marks$|$

iii$)$ Compute constraint length k for this code $|2$ marks$|$