The third support weight enumerators of the doubly-even, self-dual [32, 16, 8] codes
Olgica Milenković, S.T. Coffey, Kevin J. Compton · IEEE Transactions on Information Theory · 2003
We present combinatorial methods for computing the third support weight enumerators of the five doubly-even, self-dual [32,16,8] codes. The methods exploit relationships that exist between support weight enumerators and complete coset weight enumerators of a self-dual code.