(f, σ, δ)-skew Polycyclic Codes and Their Applications to Quantum Codes

On the structure of repeated-root polycyclic codes over local rings

“…Then, they generalized the (σ, δ)-polycyclic codes over fields into T M -invariant linear codes. As applications, in [28,29], (σ, δ)-polycyclic codes were used to establish good quantum codes, and in [30], these codes were applied to construct Z-lattices in R N . It is remarkable that (σ, δ)-polycyclic codes have been described by different terminologies in the above references, such as "(σ, δ)-codes", "( f, σ, δ)-codes", "(M, σ, δ)-codes", and "skew generalized cyclic codes".…”