Gleason has described the general form that the weight distribution of a self-dual code over GF(2) and GF(3) can have. We give an explicit formula for this weight distribution when the minimum distance d between codewords is made as large as possible. It follows that for self-dual codes of length n over GF(2) with all weights divisible by 4, d ~ 4[n/24] + 4â€¦Â CONTINUE READING