1. Suppose M 10001010 and C 11110011 are corresponding bit streams in a known plaintext attack on a four-bit LFSR. M was enciphered from left to right, that is, the bit at the left end (1 for M) was enciphered first. Each bit of M was XORed with the next bit output by the LFSR to produce the next bit of C. Find the matrix H, the tap sequence T, and the initial contents of the register. Show all of your work. 1. Suppose M 10001010 and C 11110011 are corresponding bit streams in a known plaintext attack on a four-bit LFSR. M was enciphered from left to right, that is, the bit at the left end (1 for M) was enciphered first. Each bit of M was XORed with the next bit output by the LFSR to produce the next bit of C. Find the matrix H, the tap sequence T, and the initial contents of the register. Show all of your work