A Gröbner Approach to Dual-Containing Cyclic Left Module $(\hat{I}¸,\hat{I}´)$-Codes over Finite Commutative Frobenius Rings

Hedongliang Liu, Cornelia Ott, Felix Ulmer

For a skew polynomial ring $R=A[X;\hat{I}¸,\hat{I}´]$ where $A$ is a commutative Frobenius ring, $\hat{I}¸$ an endomorphism of $A$ and $\hat{I}´$ a $\hat{I}¸$-derivation of $A$, we consider cyclic left module c…