The structure of linear codes of constant weight
Jay A. Wood · Transactions of the American Mathematical Society · 2001
In this paper we determine completely the structure of linear codes over Z / N Z \mathbb Z/N\mathbb Z of constant weight. Namely, we determine exactly which modules underlie linear codes of constant weight, and we describe the coordinate functionals involved. The weight functions considered are: Hamming weight, Lee weight, two forms of Euclidean weight, and pre-homogeneous weights. We prove a general uniqueness theorem for virtual linear codes of constant weight. Existence is settled on a case by case basis.