# Max Hamming Distance [duplicate]

Possible Duplicate:
Comp Sci Math; Hamming Distance

I have been set a task:

What is the maxium possble Hamming distace between two noes from level i in an n-cube? Provide an explanation for your answer!

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 Asked and answered here – Dilip Sarwate Oct 7 '11 at 12:48 Well spotted, @Dilip. Voting to close as a dup. – Jyrki Lahtonen Oct 7 '11 at 12:54

## marked as duplicate by J. M., Jyrki Lahtonen, Asaf Karagila, t.b., DidOct 9 '11 at 9:27

 What exactly is a "level"? – user17262 Oct 7 '11 at 12:46 @David, The word level is in the statement of the homework. Presumably the homework is given in the frame of a course. But level was not defined in the course? – Did Oct 7 '11 at 12:49 @David Don't you think that you should tell us, what a "level" is? Hardly anything standard! If coerced to answer, I would hazard a guess that level $i$ consists of the nodes at Hamming distance $i$ from a given reference node, but that is just a guess. Think "triangle inequality", but also remember that there is a maximum to the Hamming distance on an $n$-cube. Or that "level" $i$ is (if I guessed correctly) the same set of points that forms "level" $n-i$ when viewed from the exact opposite reference point. – Jyrki Lahtonen Oct 7 '11 at 12:50