\(D_4\) lattice-shell code 

Description

Spherical code whose codewords are points on the \(D_4\) lattice normalized to lie on the unit sphere.

Parent

Child

  • Disphenoidal 288-cell code — Disphenoidal 288-cell codewords are the union of two 24-point shells of the \(D_4\) lattice, with each shell making up the vertices of a 24-cell.

Cousins

References

[1]
M. Hirao, H. Nozaki, and K. Tasaka, “Spherical designs and modular forms of the \(D_4\) lattice”, (2023) arXiv:2303.09000
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Zoo Code ID: dfour_shell

Cite as:
“\(D_4\) lattice-shell code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2022. https://errorcorrectionzoo.org/c/dfour_shell
BibTeX:
@incollection{eczoo_dfour_shell,
  title={\(D_4\) lattice-shell code},
  booktitle={The Error Correction Zoo},
  year={2022},
  editor={Albert, Victor V. and Faist, Philippe},
  url={https://errorcorrectionzoo.org/c/dfour_shell}
}
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Permanent link:
https://errorcorrectionzoo.org/c/dfour_shell

Cite as:

“\(D_4\) lattice-shell code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2022. https://errorcorrectionzoo.org/c/dfour_shell

Github: https://github.com/errorcorrectionzoo/eczoo_data/tree/main/codes/classical/spherical/lattice_shell/dfour_shell.yml.