Question

1. Consider linear block code with n=8 and k=4. The parity bits of Linear block code is obtained as

c1=m2+m3+m4 , c2=m1+m2+m3 ,c3=m1+m2+m4 ,c4=m1+m3+m4

where m1,m2,m3 and m4 are the message bits and c1,c2,c3 and c4 are the checkbits

1. Obtain the generator matrix and parity check matrix                                                                
2. List out all codewords and Calculate the minimum distance (dmin )                                   
3. Draw the encoding Circuit.                                                                                                                    
4. Construct the syndrome circuit                                                                                                     
5. Compute the syndrome for the received vector r=[11011011]. Is this a valid code vector?If no, then find the position of error.                                                                                              

Answer 1