Complete joint weight enumerators and self-dual codes
YoungJu Choie, Steven T. Dougherty, Haesuk Kim · IEEE Transactions on Information Theory · 2003
We define the complete joint weight enumerator in genus g for codes over /spl Zopf//sub 2k/ and use it to study self-dual codes and their shadows. These weight enumerators are related to the theta series of the associated lattices and Siegel and Jacobi forms are formed from these series.