(1 point) Consider the linear code with generator matrix 1 1 0 G 1 0 1 1 1 1 1 0 0 0 1 0 0 0 1 and check matrix 0 1 1 0 1 0 H 0 0 1 1 1 1 1 1 1 0 0 (a) Make a syndrome table for this code Error pattern 000000 Syndrome Error pattern 100000 Syndrome Syndrome Error pattern 010000 Error pattern 001000 Syndrome Error pattern 000100 Syndrome Error pattern 000010 Syndrome Syndrome Error pattern 000001 (f) Decode the message 101110 011000 010110 For each code word, find the syndrome and the error pattern, then correct the error and decode Code block 101110 Syndrome Error pattern Corrected code block Decoded message block Code block 011000 Syndrome Error pattern Corrected code block Decoded message block Code block 010110 Syndrome Error pattern Corrected code block Decoded message block (1 point) Consider the linear code with generator matrix 1 1 0 G 1 0 1 1 1 1 1 0 0 0 1 0 0 0 1 and check matrix 0 1 1 0 1 0 H 0 0 1 1 1 1 1 1 1 0 0 (a) Make a syndrome table for this code Error pattern 000000 Syndrome Error pattern 100000 Syndrome Syndrome Error pattern 010000 Error pattern 001000 Syndrome Error pattern 000100 Syndrome Error pattern 000010 Syndrome Syndrome Error pattern 000001 (f) Decode the message 101110 011000 010110 For each code word, find the syndrome and the error pattern, then correct the error and decode Code block 101110 Syndrome Error pattern Corrected code block Decoded message block Code block 011000 Syndrome Error pattern Corrected code block Decoded message block Code block 010110 Syndrome Error pattern Corrected code block Decoded message block

Question

(1 point) Consider the linear code with generator matrix 1 1 0 G  1 0 1 1 1 1 1 0 0 0 1 0 0 0 1 and check matrix 0 1 1 0 1 0 H  0 0 1 1 1 1   1 1 1 0 0 (a) Make a syndrome table for this code  Error pattern  000000 Syndrome  Error pattern  100000 Syndrome  Syndrome  Error pattern  010000 Error pattern  001000 Syndrome  Error pattern  000100 Syndrome  Error pattern  000010 Syndrome  Syndrome  Error pattern  000001 (f) Decode the message 101110 011000 010110  For each code word, find the syndrome and the error pattern, then correct the error and decode  Code block  101110 Syndrome  Error pattern  Corrected code block  Decoded message block  Code block  011000 Syndrome  Error pattern  Corrected code block  Decoded message block  Code block  010110 Syndrome  Error pattern  Corrected code block  Decoded message block  (1 point) Consider the linear code with generator matrix 1 1 0 G  1 0 1 1 1 1 1 0 0 0 1 0 0 0 1 and check matrix 0 1 1 0 1 0 H  0 0 1 1 1 1   1 1 1 0 0 (a) Make a syndrome table for this code  Error pattern  000000 Syndrome  Error pattern  100000 Syndrome  Syndrome  Error pattern  010000 Error pattern  001000 Syndrome  Error pattern  000100 Syndrome  Error pattern  000010 Syndrome  Syndrome  Error pattern  000001 (f) Decode the message 101110 011000 010110  For each code word, find the syndrome and the error pattern, then correct the error and decode  Code block  101110 Syndrome  Error pattern  Corrected code block  Decoded message block  Code block  011000 Syndrome  Error pattern  Corrected code block  Decoded message block  Code block  010110 Syndrome  Error pattern  Corrected code block  Decoded message block

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(1 point) Consider the linear code with generator matrix 1 1 0 G= 1 0 1 1 1 1 1 0 0 0 1 0

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