Construct a (6, 3) binary linear code with generator matrix [100 110 G= 0 1 0 0 1 1 L001 101. Decode each of the received words 001001, 011000, 000110, 100001 by the following methods: a. Nearest-neighbor method. b. Parity-check matrix method.

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Construct a (6, 3) binary linear code with generator matrix
1 0 0 11 0
G=0 10 0 1 1
[o 0 1 1 0 1,
Decode each of the received words
001001, 011000, 000110, 100001
by the following methods:
a. Nearest-neighbor method.
b. Parity-check matrix method.
c. Coset decoding using a standard array.
d. Coset decoding using the syndrome method.
Transcribed Image Text:Construct a (6, 3) binary linear code with generator matrix 1 0 0 11 0 G=0 10 0 1 1 [o 0 1 1 0 1, Decode each of the received words 001001, 011000, 000110, 100001 by the following methods: a. Nearest-neighbor method. b. Parity-check matrix method. c. Coset decoding using a standard array. d. Coset decoding using the syndrome method.
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