4 A (32,21) product code is constructed from the (8,7) and (4,3) single-parity-check codes. Even parity is used to construct both the column and row parity-check bits. Figure problem1.4 shows 4 arrays, each of which represents a received (32,21) product code array. Determine the decisions that a decoder is likely to make. (Hint: what is the most likely output statement of the (32,21) product code decoder, correct, error or failure? Note: The output statement should be go with the a prior error situation you assumed that might occur during the transmission. The left up 21 elements are the sub-array of information bits at the output of the (32,21) product code encoder . ) (a) 1 0 0 1 (b) 0 1 0 1 1 1 1 0 1 0 1 0 0 0 0 0 1 1 1 1 1 0 1 0 1 0 1 0 0 1 1 0 1 1 0 0 0 1 0 1 0 0 0 0 0 1 1 0 0 1 0 1 1 1 0 0 0 0 1 1 (c) 0 1 1 0 (d) 0 0 0 1 1 0 0 1 0 1 0 1 1 1 0 0 0 1 0 1 0 1 1 0 1 0 0 1 1 1 1 1 1 1 1 0 1 1 0 0 1 0 1 0 1 1 1 1 0 1 1 0 0 0 1 1 0 0 1 1 Figure problem1.4 Received Arrays of a (32,21) product code decoder