d. Verify the codeword obtained in part b polynomial division method e. Consider a codeword C = [11011001010110 0]. Is this a codeword of the above system? Provide suitable justification for your answer.

Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
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you already solved a,b,c  ..  just solve ( d , e )

1. Consider a (15,5) linear block code (cyclic) in systematic form. The generator polynomial is
given as g(x) = 1+ X + x² + Xx5 + x8 + x10.
a. Design and draw the circuit of the feedback shift register encoder and decoder.
b. Use the encoder obtained in part a to find the code word for the message [x x x x x).
(Assume the right most bit is the earliest bit)
c. Repeat the steps of part b for decoding.
d. Verify the codeword obtained in part b polynomial division method
e. Consider a codeword C = [11011001010110 0]. Is this a codeword of the above system?
Provide suitable justification for your answer.
Transcribed Image Text:1. Consider a (15,5) linear block code (cyclic) in systematic form. The generator polynomial is given as g(x) = 1+ X + x² + Xx5 + x8 + x10. a. Design and draw the circuit of the feedback shift register encoder and decoder. b. Use the encoder obtained in part a to find the code word for the message [x x x x x). (Assume the right most bit is the earliest bit) c. Repeat the steps of part b for decoding. d. Verify the codeword obtained in part b polynomial division method e. Consider a codeword C = [11011001010110 0]. Is this a codeword of the above system? Provide suitable justification for your answer.
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