In the works of Maucher et al. (200), Bossert et al. (1999) and GrieBer (2003), the authors presented the equivalence of generalized concatenated codes (GCC codes) and generalized error-location codes (GEL codes). However, they find that there exist several errors. In this work, the authors give several corrections to the work of Maucher et al. (2000) and make some amendments to Theorems 2 and 3 , but without affecting the equivalence of the class of GCC codes and the class of GEL codes. The authors give corrected proofs to the amended Theorems 2 and 3, respectively. Then, they conclude that the class of GCC codes is still equivalent to the class of GEL codes.