Welcome to the Ring Kingdom.

Ring code Encodes \(K\) states (codewords) in \(n\) coordinates over a ring \(R\). Parents: Error-correcting code (ECC). Parent of: \(R\)-linear code.
\(R\)-linear code A code of length \(n\) over a ring \(R\) is \(R\)-linear if it is a submodule of \(R^n\). Parents: Ring code. Parent of: Quaternary code over \(\mathbb{Z}_4\).
Quaternary code over \(\mathbb{Z}_4\) A linear code encoding \(K\) states (codewords) in \(n\) coordinates over the ring \(\mathbb{Z}_4\) of integers modulo 4. Parents: \(R\)-linear code.