Cyclic code

Description

A code \(C\) of length \(n\) over an alphabet is cyclic if, for each string \(c_1 c_2 \cdots c_n\in C\), the cyclically shifted string \(c_n c_1 \cdots c_{n-1}\in C\).

Parent

Children

Cousins

Zoo code information

Internal code ID: cyclic

Your contribution is welcome!

on github.com (edit & pull request)

edit on this site

Zoo Code ID: cyclic

Cite as:
“Cyclic code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2022. https://errorcorrectionzoo.org/c/cyclic
BibTeX:
@incollection{eczoo_cyclic, title={Cyclic code}, booktitle={The Error Correction Zoo}, year={2022}, editor={Albert, Victor V. and Faist, Philippe}, url={https://errorcorrectionzoo.org/c/cyclic} }
Permanent link:
https://errorcorrectionzoo.org/c/cyclic

References

[1]
Sagar Vijay and Liang Fu, “Quantum Error Correction for Complex and Majorana Fermion Qubits”. 1703.00459

Cite as:

“Cyclic code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2022. https://errorcorrectionzoo.org/c/cyclic

Github: https://github.com/errorcorrectionzoo/eczoo_data/tree/main/codes/classical/properties/cyclic/cyclic.yml.