We investigate the gauging of a \({\mathbb{Z}}_{2}\) symmetry in Narain conformal field theories (CFTs) constructed from qudit stabilizer codes. Considering both orbifold and fermionization, we establish a connection between \({\mathbb{Z}}_{2}\) gauging procedures and modifications of the momentum lattice by vectors characterizing the \({\mathbb{Z}}_{2}\) symmetry. We also provide three-dimensional interpretations of \({\mathbb{Z}}_{2}\) gaugings through abelian Chern-Simons theories, which act as symmetry topological field theories.
