Exercise 3 Find at least four information sets in the 17, 4) code Hz from Example 1.2.3. Find at least one set of four coordinates that do not form an information set. Example 1.2.3 The matrix G = [14A], where 1 0 1 0 0 1 0 1 G= 0 0 1 0 1 1 0 Lo 0 0 1 1 1 1 is a generator matrix in standard form for a 17. 4) binary code that we denote by H3. By Theorem 1.2.1 a parity check matrix for Hy is o ITI007 H=[AT | 1] = 1011010 1 1 0 0 0 1 This code is called the [7,4] Hamming code. 1