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Antipode lattice[1]

Description

Lattice constructed via the antipode construction.

Cousin

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

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Primary Hierarchy

Classical Domain
Analog Kingdom
Analog codeECC
Sphere packing
Lattice-based codeECC
Parents
Lattice-based code
Antipode lattice

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 lattice”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2022. https://errorcorrectionzoo.org/c/antipode
BibTeX:
@incollection{eczoo_antipode, title={Antipode lattice}, booktitle={The Error Correction Zoo}, year={2022}, editor={Albert, Victor V. and Faist, Philippe}, url={https://errorcorrectionzoo.org/c/antipode} }
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Permanent link:
https://errorcorrectionzoo.org/c/antipode

Cite as:

“Antipode lattice”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2022. https://errorcorrectionzoo.org/c/antipode

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