Hamming Distance: What is Max. Distance Between Binary Strings?

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Hi,
I don't know where to post this question, so I'm posting it here.

I wish to study some basic properties of Hamming distance (e.g. what is the number of different binary N-bit strings so that the maximum Hamming distance between them is m etc.).

Can anyone refer me some books or papers (/documents etc)?
 
Search your library or the internets for "information theory" and "error correction codes".