Author

Dominik Krasula

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Preprint Sep 2026

Free and projective LCD codes

LCD codes over finite commutative chain rings are known to be free. However, if the ring is not indecomposable, there always exists an LCD ideal that is projective but not free. We prove that all two-sided LCD codes are projective. We generalise the characterisation of finite commutative Frobenius rings by means of the...

Dominik Krasula · 0 citations