Let C be the binary linear code with basis B = (0011001, 1000010, 1111111) with information bits in positions 2, 4, and 6. State the codeword x that encodes the message m = 110:

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Let C be the binary linear code with basis
B = (0011001, 1000010, 1111111)
with information bits in positions 2, 4, and 6.
State the codeword x that encodes the message m = 110:
Tip You can solve equations and use row reductions here- but since the basis is smal, it might be easiest just to look at its codewords and
use intelligent trial and error.
A correct answer is 0111101, which can be typed in as follows:
0111101
Let Cbe the cnde cansis
Transcribed Image Text:Let C be the binary linear code with basis B = (0011001, 1000010, 1111111) with information bits in positions 2, 4, and 6. State the codeword x that encodes the message m = 110: Tip You can solve equations and use row reductions here- but since the basis is smal, it might be easiest just to look at its codewords and use intelligent trial and error. A correct answer is 0111101, which can be typed in as follows: 0111101 Let Cbe the cnde cansis
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