Given two systematic binary linear (7,3) codes A and B, where the relationship between the data symbols d, and the codeword symbols Xi are as follows: For A. X3 do + d : X = do + d) : X5 m di + da X6 do + di + d2 For B. X3 do + d x4 = do + d2 X5 = di x6 = do + d + d2 a) For both codes determine the generator and parity check matrices. b) Find the minimum distance of both codes c) Develop the syndrome decoding tables, assuming a binary synmetric channel and applying the maximum likelihood decoding principle