We consider the possibility of obtaining the periodic sequence {100011}8, that is 101001011001 · · ·

We consider the possibility of obtaining the periodic sequence {100011}8, that is 101001011001 · · · using the LFSR of minimum length. That is, start with L = 2 and increase the length by one in case the sequence cannot be generated by this length. Specify the connection polynomial of the shortest LFSR found in this way. Motivate your answer and ensure yourself that you really get the desired sequence.