Additive codes over Eisenstein chain rings are shown to correspond exactly, with duality preserved, to Z_p^e Z_p^{e-1}-linear codes, yielding enumeration formulas and small classifications for self-orthogonal, self-dual, and complementary-dual codes.
and Siap, I.: On Z2Z2[u]-additive codes, Int
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On Eisenstein additive codes over chain rings and linear codes over mixed alphabets
Additive codes over Eisenstein chain rings are shown to correspond exactly, with duality preserved, to Z_p^e Z_p^{e-1}-linear codes, yielding enumeration formulas and small classifications for self-orthogonal, self-dual, and complementary-dual codes.