Description
A block code of length \(n\) is \(\alpha\)-quasi-twisted if, for each codeword \(c_1 \cdots c_{\ell} c_{\ell+1} \cdots c_n\), the string \(\alpha c_{n-\ell+1}, \alpha c_{n-\ell+2}, \cdots, \alpha c_n, c_1, c_2, \cdots, c_{n-\ell}\) is also a codeword.
Parent
Children
- Quasi-cyclic code — Quasi-twisted codes with \(\alpha=1\) are quasi-cyclic.
- Constacyclic code — Quasi-twisted codes with \(\ell=1\) are constacyclic.
- \([56,6,36]_3\) Hill-cap code — The \([56,6,36]_3\) Hill-cap code is quasi-twisted [1].
References
- [1]
- N. Pace and A. Sonnino, “On linear codes admitting large automorphism groups”, Designs, Codes and Cryptography 83, 115 (2016) DOI
Page edit log
- Connor Clayton (2024-03-15) — most recent
- Victor V. Albert (2023-12-18)
Cite as:
“Quasi-twisted code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2024. https://errorcorrectionzoo.org/c/quasi_twisted