Problem: Write a parity$-$check matrix for a binary Hamming code Ham$(4,2),$ and find its canonical generator matrix. $($I would like your assistance in understanding this problem, I am really lost on where to begin, if you could provide some guidance in understanding the problem that would be helpful, i have an exam coming up and i would like to understand it very clearly $,$ if you could provide a process that would be helpful, also i prefer if you could provide the help hand written as my preference.$)$