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Antipode sphere packing[1]

Description

Sphere packing constructed via the antipode construction.

Cousin

  • Anticode— The antipode and anticode constructions are morally similar [2].

Member of code lists

Primary Hierarchy

Classical Domain
Analog Kingdom
Analog codeECC
Sphere packing
Parents
Sphere packing
Antipode sphere packing

References

[1]
J. H. Conway and N. J. A. Sloane, “The antipode construction for sphere packings”, Inventiones Mathematicae 123, 309 (1996) DOI
[2]
J. H. Conway and N. J. A. Sloane, Sphere Packings, Lattices and Groups (Springer New York, 1999) DOI
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Zoo Code ID: antipode

Cite as:
“Antipode sphere packing”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2026. https://errorcorrectionzoo.org/c/antipode, arXiv:2606.11484
BibTeX:
@incollection{eczoo_antipode,
title={Antipode sphere packing},
booktitle={The Error Correction Zoo},
year={2026},
editor={Albert, Victor V. and Faist, Philippe},
eprint={2606.11484},
doi={10.48550/arXiv.2606.11484},
url={https://errorcorrectionzoo.org/c/antipode}
}
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Permanent link:
https://errorcorrectionzoo.org/c/antipode

Cite as:

“Antipode sphere packing”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2026. https://errorcorrectionzoo.org/c/antipode, arXiv:2606.11484

Github: https://github.com/errorcorrectionzoo/eczoo_data/edit/main/codes/classical/analog/sphere_packing/from_codes/antipode.yml.