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\([n,2,\lceil 2n/3 \rceil -1]\) Cordaro-Wagner code[1]

Description

A linear binary code with \(k=2\) that is optimal among binary linear \([n,2,d]\) codes.

Notes

Implementation in Komm Python software library for communication systems [2].

Member of code lists

Primary Hierarchy

Classical Domain
Binary Kingdom
Binary codeECC
Binary group-orbit codeECC
Linear binary codeLinear \(q\)-ary Linear code over \(\mathbb{Z}_q\) ECC
Parents
Linear binary code
\([n,2,\lceil 2n/3 \rceil -1]\) Cordaro-Wagner code

References

[1]
J. Cordaro and T. Wagner, “Optimum(n,2)codes for small values of channel error probability (Corresp.)”, IEEE Transactions on Information Theory 13, 349 (1967) DOI
[2]
R. W. Nobrega, Komm Software Package, 2025 URL
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Zoo Code ID: cordaro_wagner

Cite as:
“\([n,2,\lceil 2n/3 \rceil -1]\) Cordaro-Wagner code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2025. https://errorcorrectionzoo.org/c/cordaro_wagner
BibTeX:
@incollection{eczoo_cordaro_wagner, title={\([n,2,\lceil 2n/3 \rceil -1]\) Cordaro-Wagner code}, booktitle={The Error Correction Zoo}, year={2025}, editor={Albert, Victor V. and Faist, Philippe}, url={https://errorcorrectionzoo.org/c/cordaro_wagner} }
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Permanent link:
https://errorcorrectionzoo.org/c/cordaro_wagner

Cite as:

“\([n,2,\lceil 2n/3 \rceil -1]\) Cordaro-Wagner code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2025. https://errorcorrectionzoo.org/c/cordaro_wagner

Github: https://github.com/errorcorrectionzoo/eczoo_data/edit/main/codes/classical/bits/easy/cordaro_wagner.yml.