Constant-energy code

Description

Code whose codewords are points on a complex or real hypersphere in either whose radius squared is called the energy. Typically, only angular distances between points are relevant for code performance, so one can normalize codewords of a constant-energy code to obtain up a spherical code, i.e., a constant energy code with energy one.

Notes

See [1; Ch. 7] for more details.

Parent

Child

Cousin

References

[1]
T. Ericson, and V. Zinoviev, eds. Codes on Euclidean spheres. Elsevier, 2001.
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Zoo code information

Internal code ID: points_into_spheres

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Zoo Code ID: points_into_spheres

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

Cite as:

“Constant-energy code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2022. https://errorcorrectionzoo.org/c/points_into_spheres

Github: https://github.com/errorcorrectionzoo/eczoo_data/tree/main/codes/classical/analog/spherical/points_into_spheres.yml.