coding and cryptography

Consider the two dimensional product code example as the one described in section 8.4.3, as shown in the figure below. The transmitted codeword symbols are represented by C = d; dz dz d4 Pin Pzn Piv Pzv. The received codeword symbols are represented by r, where r is given by r=C+n, wehre n is zero mean white gaussin noise with variance on = 0.25. Assume the data C = d; dz dz da is given by 0110. The data is read horizontally. a. write transmitted codeword sysmbols using polar format. b. assume the received codeword symbols are given by r= -0.80 0.25 1.2 - 0.10 1.6 - 0.1 2.0 0.20 Calculate the values of the soft outputs for the data bits for the following two cases: case l: after one horizontal and one vertical decoding. Case II: after two horizontal and two vertical decoding. C. how many errors have been corrected in both cases. d1 d2 Pan d3 d4 P2n| P1V P21