Abstract
We study self-dual codes over non-commutative Frobenius rings. It is shown that a code is equal to its left orthogonal if and only if it is equal to its right orthogonal. Constructions of self-dual codes are given over Frobenius rings that arise from self-dual codes over the center of the ring. These constructions are used to show for which lengths self-dual codes exist over various rings.
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