Additive \(q\)-ary code

Description

A \(q\)-ary code whose codewords are closed under addition, i.e., for any codewords \(x,y\), \(x+y\) is also a codeword.

Parent

Children

Cousin

  • Galois-qudit stabilizer code — A Galois-qudit stabilizer code is the closest quantum analogue of an additive code over \(GF(q)\) because addition in the field corresponds to multiplication of stabilizers in the quantum case.

Zoo code information

Internal code ID: q-ary_additive

Your contribution is welcome!

on github.com (edit & pull request)

edit on this site

Zoo Code ID: q-ary_additive

Cite as:
“Additive \(q\)-ary code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2022. https://errorcorrectionzoo.org/c/q-ary_additive
BibTeX:
@incollection{eczoo_q-ary_additive, title={Additive \(q\)-ary code}, booktitle={The Error Correction Zoo}, year={2022}, editor={Albert, Victor V. and Faist, Philippe}, url={https://errorcorrectionzoo.org/c/q-ary_additive} }
Share via:
Twitter |  | E-mail
Permanent link:
https://errorcorrectionzoo.org/c/q-ary_additive

Cite as:

“Additive \(q\)-ary code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2022. https://errorcorrectionzoo.org/c/q-ary_additive

Github: https://github.com/errorcorrectionzoo/eczoo_data/tree/main/codes/classical/q-ary_digits/q-ary_additive.yml.