Matrix-based code
This code defines the Matrix Kingdom
Description
Encodes \(K\) states (codewords) in an \(m\times n\)-dimensional matrix of coordinates over a field (e.g., the Galois field \(GF(q)\) or the complex numbers \(\mathbb{C}\)).
Parents
- Finite-dimensional error-correcting code (ECC)
- Block code
- Group-alphabet code — Matrix-based code alphabets are fields, which are groups under addition.
Children
Page edit log
- Victor V. Albert (2022-02-16) — most recent
Cite as:
“Matrix-based code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2022. https://errorcorrectionzoo.org/c/matrices_into_matrices