\(D_3\) face-centered cubic (fcc) lattice code 

Description

Laminated three-dimensional lattice consisting of layers of hexagonal lattices.

Protection

The \(D_3\) fcc lattice exhibits the densest lattice packing [1], highest kissing number of 12, and the thinnest lattice covering in three dimensions.

Parent

Cousins

References

[1]
C.F. Gauss, Besprechung des Buchs von L.A. Seeber, Untersuchungen uber die Eigenschaften der positiven terndren quadratischen Formen usw. Gottingsche Gelehrte Anzeigen, July 9, 1831 = Werke, II, pp. 188-196, 1876.
[2]
T. Ericson, and V. Zinoviev, eds. Codes on Euclidean spheres. Elsevier, 2001.
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Zoo Code ID: dthree

Cite as:
\(D_3\) face-centered cubic (fcc) lattice code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2022. https://errorcorrectionzoo.org/c/dthree
BibTeX:
@incollection{eczoo_dthree, title={\(D_3\) face-centered cubic (fcc) lattice code}, booktitle={The Error Correction Zoo}, year={2022}, editor={Albert, Victor V. and Faist, Philippe}, url={https://errorcorrectionzoo.org/c/dthree} }
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Cite as:

\(D_3\) face-centered cubic (fcc) lattice code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2022. https://errorcorrectionzoo.org/c/dthree

Github: https://github.com/errorcorrectionzoo/eczoo_data/tree/main/codes/classical/analog/lattice/root/dthree.yml.