Kerdock spherical code 

Description

Family of \((n=2^{2r},n^2,2-2/\sqrt{n})\) spherical codes for \(r \geq 2\), obtained from Kerdock codes via the binary antipodal mapping [1; pg. 157].

Parent

Cousins

References

[1]
T. Ericson, and V. Zinoviev, eds. Codes on Euclidean spheres. Elsevier, 2001.
[2]
P. G. Boyvalenkov et al., “Universal upper and lower bounds on energy of spherical designs”, (2015) arXiv:1509.07837
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Zoo Code ID: kerdock_spherical

Cite as:
“Kerdock spherical code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2023. https://errorcorrectionzoo.org/c/kerdock_spherical
BibTeX:
@incollection{eczoo_kerdock_spherical, title={Kerdock spherical code}, booktitle={The Error Correction Zoo}, year={2023}, editor={Albert, Victor V. and Faist, Philippe}, url={https://errorcorrectionzoo.org/c/kerdock_spherical} }
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Permanent link:
https://errorcorrectionzoo.org/c/kerdock_spherical

Cite as:

“Kerdock spherical code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2023. https://errorcorrectionzoo.org/c/kerdock_spherical

Github: https://github.com/errorcorrectionzoo/eczoo_data/edit/main/codes/classical/spherical/q-ary/kerdock_spherical.yml.