This is the question:
Determine if the Hamming codes (15,10), (14,10) and (13,10) can correct a single error (SEC), detect a single error (SED) or detect double bit errors (DED).
I do know how Hamming distance work and how you can detect an error if you have the data-word that you want to transmit. But I don't know how to do it without the data-word.
Only for SEC which has the formula:
2^m > m+k+1
where
m = check bits k = data bits
But is the any formulas for SED and DED? I have searched google all day long without any success.