Universally optimal code

Description

A code that produces a minimum over all codes of its cardinality for a large family of potential functions.

Parent

Children

References

[1]
H. Cohn and A. Kumar, “Universally optimal distribution of points on spheres”, Journal of the American Mathematical Society 20, 99 (2006) arXiv:math/0607446 DOI
[2]
H. Cohn and Y. Zhao, “Energy-Minimizing Error-Correcting Codes”, IEEE Transactions on Information Theory 60, 7442 (2014) arXiv:1212.1913 DOI
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Zoo Code ID: univ_opt

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

Cite as:

“Universally optimal code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2023. https://errorcorrectionzoo.org/c/univ_opt

Github: https://github.com/errorcorrectionzoo/eczoo_data/tree/main/codes/classical/properties/block/universally_optimal/univ_opt.yml.