\(BW_{32}\) lattice-shell code

Description

Spherical code whose codewords are points on the \(BW_{32}\) Barnes-Wall lattice normalized to lie on the unit sphere.

The minimal shell of the lattice yields the \((32,146880,1)\) code.

Parents

Lattice-shell code
Real-Clifford subgroup-orbit code — The minimal \(BW_{32}\) lattice-shell code is equivalent to the real Clifford subgroup-orbit code for \(n=32\).

Cousin

\(BW_{32}\) Barnes-Wall lattice

Page edit log

Victor V. Albert (2022-11-22) — most recent

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Zoo Code ID: bw32_shell

Cite as:: “\(BW_{32}\) lattice-shell code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2022. https://errorcorrectionzoo.org/c/bw32_shell
BibTeX:: @incollection{eczoo_bw32_shell, title={\(BW_{32}\) lattice-shell code}, booktitle={The Error Correction Zoo}, year={2022}, editor={Albert, Victor V. and Faist, Philippe}, url={https://errorcorrectionzoo.org/c/bw32_shell} }

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Permanent link:: https://errorcorrectionzoo.org/c/bw32_shell

Cite as:

“\(BW_{32}\) lattice-shell code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2022. https://errorcorrectionzoo.org/c/bw32_shell

Github: https://github.com/errorcorrectionzoo/eczoo_data/edit/main/codes/classical/spherical/lattice_shell/bw32_shell.yml.

Lattice-shell
Spherical
Constant-energy
Real-Clifford subgroup-orbit
\(BW_{32}\)

Classical Domain

Quantum Domain

Classical-quantum Domain

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Error correction zoo by Victor V. Albert, Philippe Faist, and many contributors. This work is licensed under a CC-BY-SA License. See how to contribute.