Assignment:
Consider the 10-bit plaintext sequence 0 1 0 1 1 0 1 0 0 1 and its corresponding cipher text sequence 0 1 1 1 0 1 1 0 1 O. where the rightmost hit is the earliest hit. Describe the five-stage linear feedback shift register (LFSR) that produced the key sequence and show the initial state of the register. Is the output sequence of maximal length?
Provide complete and step by step solution for the question and show calculations and use formulas.