Wrapped spherical code[1] 

Description

Spherical code in dimension \(n\) whose codewords are obtained from centers of spheres from a finite \(S^{n-1}\)-sphere packing of \(\mathbb{R}^{n}\) that is "wrapped" onto \(S^n\).

Rate

Asymptotically maximal spherical coding density is obtained with the densest possible sphere packing.

Parent

References

[1]
J. Hamkins and K. Zeger, “Asymptotically dense spherical codes. I. Wrapped spherical codes”, IEEE Transactions on Information Theory 43, 1774 (1997) DOI
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Zoo Code ID: wrapped_spherical

Cite as:
“Wrapped spherical code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2022. https://errorcorrectionzoo.org/c/wrapped_spherical
BibTeX:
@incollection{eczoo_wrapped_spherical, title={Wrapped spherical code}, booktitle={The Error Correction Zoo}, year={2022}, editor={Albert, Victor V. and Faist, Philippe}, url={https://errorcorrectionzoo.org/c/wrapped_spherical} }
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Permanent link:
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Cite as:

“Wrapped spherical code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2022. https://errorcorrectionzoo.org/c/wrapped_spherical

Github: https://github.com/errorcorrectionzoo/eczoo_data/edit/main/codes/classical/spherical/numerical/wrapped_spherical.yml.