Abstract

We describe some structural results for codes over the rings Z p and use them to examine lifts of codes over these rings to Z p e 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.

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