Quadratic-residue code

Description

Stub.

Parent

Child

  • Binary Golay code — The collection of nonzero quadratic residues modulo 23 can be used to construct a generator polynomial of the Golay code.

Cousin

  • Hamming code — \([7,4,3]\) Hamming code is a quadratic-residue code [1].

Zoo code information

Internal code ID: quad_residue

Your contribution is welcome!

on github.com (edit & pull request)

edit on this site

Zoo Code ID: quad_residue

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

References

[1]
F. J. MacWilliams and N. J. A. Sloane. The theory of error correcting codes. Elsevier, 1977

Cite as:

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

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