= (7 points) For this problem assume that the code digits are over 25. It is required to design a code capable of correcting limited magnitude errors of 1 1 and 1 = 2. (a) Show a parity matrix in systematic form for this code with the number of infor- mation digits k = 10 (b) How many number of check digits are required for this code? (c) Suppose the given information word has ls in the two least information digits. Find the corresponding codeword in systematic form. = (7 points) For this problem assume that the code digits are over 25. It is required to design a code capable of correcting limited magnitude errors of 1 1 and 1 = 2. (a) Show a parity matrix in systematic form for this code with the number of infor- mation digits k = 10 (b) How many number of check digits are required for this code? (c) Suppose the given information word has ls in the two least information digits. Find the corresponding codeword in systematic form