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  3. consider a (15,5) linear block code (cyclic) in sy

Consider a (15,5) linear block code (cyclic) in systematic form. The generator polynomial is given as gx=1+X+X2+X5+X8+X10 . Design...

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Electrical Engineering

  1. Consider a (15,5) linear block code (cyclic) in systematicform. The generator polynomial is given asgx=1+X+X2+X5+X8+X10.
  1. Design and draw the circuit of the feedback shift registerencoder and decoder.
  2. Use the encoder obtained in part a to find the code wordfor the message [01011 ] . (Assume the right most bit is theearliestbit)                                                             
  3. Repeat the steps of part b fordecoding.                                                                                     
  4. Verify the codeword obtained in part b polynomial divisionmethod                                

e.Consider a codeword C=[110110010010110 ] . Is this acodeword of the above system? Provide suitable justification foryour answer.

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