Minimum Weight

Please note that the content of this book primarily consists of articles
available from Wikipedia or other free sources online. In
error-correcting coding, the minimum Hamming weight, commonly referred
to as the minimum weight wmin of a code is the weight of the
lowest-weight code word. The weight w of a code word is the number of 1s
in the word. For example the word 11001010 has a weight of 4. In a
linear block code the minimum weight is also the minimum Hamming
distance (dmin) and defines the error correction capability of the code.
If wmin = n, then dmin = n and the code will correct up to dmin/2
errors.