On the existence of MDS self-dual codes over finite chain rings

We studied the MDS self-dual codes over finite chain rings. We stated the projection and lifting of codes over the finite chain rings with respect to the MDS self-dual codes, and then we applied the results to the MDS self-dual codes over Galois rings.

1. Introduction

2. Preliminaries

3. MDS self-dual codes over nite chain rings

4. MDS self-dual codes over Galois rings

5. Conclusions

References

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