Coding and copyright

Let a,b and c denote the last three digits of your enrolment number (so for example with enrolment number 001234567, you would take a=5,b=6 and c=7 ) and then take each of them (mod 2 ) - that is 0 or 1 depending on whether the digit is even or odd. So in the example above, a,b and c would become 1,0,1 respectively. Consider the polynomial x4+ax3+bx2+cx+1. (a) Create a polynomial code of codeword length 7 from this generating polynomial. [8 marks]