For a (6,3) systematic linear block code, the three parity check digits are: P = 1 x h 0 1 x ½ Ð 1 × I3 P2 = 1 x 1 e 1 × ½ 0 × I3 P3 = 0 x 1 e 1 x ½ © 1 × I3 (a) Construct the generator matrix G for this code. (b) Construct all the possible codewords generated by this matrix. (c) Determine the error correcting capabilities for this code. [single] (d) Prepare a suitable decoding table. (e) Decode the received words 101100, 000110 and 101010. [111100, 100110, 101011]
For a (6,3) systematic linear block code, the three parity check digits are: P = 1 x h 0 1 x ½ Ð 1 × I3 P2 = 1 x 1 e 1 × ½ 0 × I3 P3 = 0 x 1 e 1 x ½ © 1 × I3 (a) Construct the generator matrix G for this code. (b) Construct all the possible codewords generated by this matrix. (c) Determine the error correcting capabilities for this code. [single] (d) Prepare a suitable decoding table. (e) Decode the received words 101100, 000110 and 101010. [111100, 100110, 101011]
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
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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![For a (6,3) systematic linear block code, the three parity check digits are:
P = 1 x 4 e 1 x ½ 1 × I3
P = 1 x 1 0 1 × 1½ 0 x I3
%3D
P3 = 0 x h e1 × ½ 1 × I3
(a) Construct the generator matrix G for this code. (b) Construct all the possible codewords
generated by this matrix. (c) Determine the error correcting capabilities for this code. [single]
(d) Prepare a suitable decoding table. (e) Decode the received words 101100, 000110 and
101010. [111100, 100110, 101011]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1015a360-7584-427e-b60c-26b0622291da%2F4198bf2a-5c66-48d2-ad14-7a55b873780f%2F0nlgrju_processed.png&w=3840&q=75)
Transcribed Image Text:For a (6,3) systematic linear block code, the three parity check digits are:
P = 1 x 4 e 1 x ½ 1 × I3
P = 1 x 1 0 1 × 1½ 0 x I3
%3D
P3 = 0 x h e1 × ½ 1 × I3
(a) Construct the generator matrix G for this code. (b) Construct all the possible codewords
generated by this matrix. (c) Determine the error correcting capabilities for this code. [single]
(d) Prepare a suitable decoding table. (e) Decode the received words 101100, 000110 and
101010. [111100, 100110, 101011]
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