Pentacode[1] 

Description

Nonlinear \((5,40,4)_{\mathbb{Z}_4}\) code over \(\mathbb{Z}_4\) whose codewords are all cyclic permutations and negations of the strings \(01112\), \(03110\), \(21310\), and \(21132\).

Parents

Cousin

References

[1]
J. H. Conway and N. J. A. Sloane, “Quaternary constructions for the binary single-error-correcting codes of Julin, Best and others”, Designs, Codes and Cryptography 4, 31 (1994) DOI
[2]
J. H. Conway and N. J. A. Sloane, “Quaternary constructions for the binary single-error-correcting codes of Julin, Best and others”, Designs, Codes and Cryptography 4, 31 (1994) DOI
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Zoo Code ID: pentacode

Cite as:
“Pentacode”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2023. https://errorcorrectionzoo.org/c/pentacode
BibTeX:
@incollection{eczoo_pentacode, title={Pentacode}, booktitle={The Error Correction Zoo}, year={2023}, editor={Albert, Victor V. and Faist, Philippe}, url={https://errorcorrectionzoo.org/c/pentacode} }
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Permanent link:
https://errorcorrectionzoo.org/c/pentacode

Cite as:

“Pentacode”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2023. https://errorcorrectionzoo.org/c/pentacode

Github: https://github.com/errorcorrectionzoo/eczoo_data/edit/main/codes/classical/rings/pentacode.yml.