\(E_7\) lattice-shell code 

Description

Spherical code whose codewords are points on the \(E_7\) lattice normalized to lie on the unit sphere.

Parent

Cousins

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]
J. H. Conway and N. J. A. Sloane, “The Cell Structures of Certain Lattices”, Miscellanea Mathematica 71 (1991) DOI
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Zoo Code ID: eseven_shell

Cite as:
“\(E_7\) lattice-shell code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2022. https://errorcorrectionzoo.org/c/eseven_shell
BibTeX:
@incollection{eczoo_eseven_shell, title={\(E_7\) lattice-shell code}, booktitle={The Error Correction Zoo}, year={2022}, editor={Albert, Victor V. and Faist, Philippe}, url={https://errorcorrectionzoo.org/c/eseven_shell} }
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Permanent link:
https://errorcorrectionzoo.org/c/eseven_shell

Cite as:

“\(E_7\) lattice-shell code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2022. https://errorcorrectionzoo.org/c/eseven_shell

Github: https://github.com/errorcorrectionzoo/eczoo_data/edit/main/codes/classical/spherical/lattice_shell/eseven_shell.yml.