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Does a hamming code always corrects one error and detect 2 errors ? 
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#1
May1013, 07:05 PM

P: 29

does a hamming code always corrects one error and detect 2 errors ? and is the distance always 3 ?
I know that that is true for (7,4) hamming code but does that apply to a (11,7) or (15,11) ? if not please let me how to get the answers 


#2
May1113, 08:19 AM

Mentor
P: 11,888

I think the Hamming distance of 3 is used for the definition of "Hamming code". You can use codes with more additional bits to get more error detection/correction, but (7,4), (15,11) and so on are always 2 bits detection / 1 bit correction.



#3
May1113, 09:11 AM

P: 951

Hamming codes are class of codes that have [itex] (2^{m}1, 2^{m}m1,3) [/itex] which means that they all correct one and only one error. I don't know about detection of those other two, I am not familiar with that. But the distance of 3 dictates that they can correct only one error.



#4
May1113, 10:00 AM

P: 29

Does a hamming code always corrects one error and detect 2 errors ?
sorry I meant is the minimum distance always 3 ?



#5
May1113, 12:34 PM

P: 951




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