Lifted codes and their weight enumerators Original Research Article

We describe some structural results for codes over the rings image and use them to examine lifts of codes over these rings to image and to codes over the p-adics. We determine the weight enumerator of all lifts of the length 8 Hamming code and the length 12 ternary Golay code. We show that all weight enumerators of the lifts of the length 24 Golay code can be determined after a finite computation.