Abstract
In this work codes over one of seven local Frobenius non-chain rings of order 16 are studied. The ring structure is discussed showing both the similarities and differences to a previously studied ring. A duality preserving Gray map is given and is used to present MacWilliams identities and self-dual codes. Connections between these self-dual codes and real unimodular lattices are also discussed. Some extremal Type II Z
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