1. The problem statement, all variables and given/known data does anyone know why C24 (the extended Golay Code) doesn't have any words of weight 20? I know that it only has words of weight 0,8,12,16, & 24, but why is 20 skipped here? 2. Relevant equations I am asked to deduce this from the fact after I have shown that the code does contain the word of all one's. I did this by showing how it is a linear combination of all 12 rows in the generator matrix [I,B] since each column has odd weight. But I am not sure how this is connected to the weights of all the words in C24. 3. The attempt at a solution Now I was thinking that since the only weight of words in G are either 8 or 12 then any linear combination of the words would be multiples of 8 or 12, but I don't really see why that would be and just me wishful thinking since I have been mulling this question over for 2 days and everywhere I think it out I run into walls. Any ideas?