This is in continuation with this post:
http://mathoverflow.net/questions/70524/geometric-analytic-techniques-for-constructive-and-asymptotic-bounds-in-the-lee-m

Codes over alphabet $\mathbb{Z}_{q}$ of length $n$ for the Lee metric seems to be connected to spaced points on the $n$-torus. Are there any references which talks about their connection rigorously?