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Hamming code error (i think)

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Aya2002

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Dear Friends,

Kindly help me,

I was started to study the channel coding since some days ago. Now, in Hamming code i found an example in the book (Error Correction Coding) by Todo K. Moon 2005/ chapter one page 34 section 1.9:

given the generator matrix of (4x7):


| 1 1 0 1 0 0 0 |
| 0 1 1 0 1 0 0 |
| 0 0 1 1 0 1 0 | = G
| 0 0 0 1 1 0 1 |

now,

suppose the message is m = [1,1,0,0]

then
c = [1,1,0,1,0,0,0]+[0,1,1,0,1,0,0]
= [1,0,1,0,1,0,0]
----------^
----------|
look at the fourth digit where the sum sign is a modulo 2

is it correct?

thanks
 

it is an error
 

    Aya2002

    Points: 2
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