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Bounded-energy code

Alternative names: Spherical cluster.

Description

Code whose codewords are points lie on or inside a real or complex sphere whose radius squared is called the energy.

Member of code lists

Primary Hierarchy

Classical Domain
Analog Kingdom
Analog codeECC
Parents
Analog code
Bounded-energy codes are analog codes constrained to lie on or inside a sphere.
Bounded-energy code
Children
Modulation scheme
Constant-energy codePolytope Polyhedron Lattice-shell Spherical design
Constant-energy codes are bounded-energy codes constrained to lie on a sphere.
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Zoo Code ID: points_into_balls

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

Cite as:

“Bounded-energy code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2023. https://errorcorrectionzoo.org/c/points_into_balls

Github: https://github.com/errorcorrectionzoo/eczoo_data/edit/main/codes/classical/analog/modulation/points_into_balls.yml.