  We consider a variation of Construction A of lattices from linear codes based
on two classes of number fields, totally real and CM Galois number fields. We
propose a generic construction with explicit generator and Gram matrices, then
focus on modular and unimodular lattices, obtained in the particular cases of
totally real, respectively, imaginary, quadratic fields. Our motivation comes
from coding theory, thus some relevant properties of modular lattices, such as
minimal norm, theta series, kissing number and secrecy gain are analyzed.
Interesting lattices are exhibited.
