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\(\Lambda_{16}\) Barnes-Wall lattice[1]

Description

BW lattice in dimension \(16\).

Protection

Exhibits the densest known lattice packing in 16 dimensions.'

Cousins

Member of code lists

Primary Hierarchy

Classical Domain
Analog Kingdom
Analog codeECC
Sphere packing
Lattice-based codeECC
Barnes-Wall (BW) lattice
Parents
Barnes-Wall (BW) lattice
\(\Lambda_{16}\) Barnes-Wall lattice

References

[1]
E. S. Barnes and G. E. Wall, “Some extreme forms defined in terms of Abelian groups”, Journal of the Australian Mathematical Society 1, 47 (1959) DOI
[2]
T. Ericson, and V. Zinoviev, eds. Codes on Euclidean spheres. Elsevier, 2001.
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Zoo Code ID: lambda16

Cite as:
“\(\Lambda_{16}\) Barnes-Wall lattice”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2022. https://errorcorrectionzoo.org/c/lambda16
BibTeX:
@incollection{eczoo_lambda16, title={\(\Lambda_{16}\) Barnes-Wall lattice}, booktitle={The Error Correction Zoo}, year={2022}, editor={Albert, Victor V. and Faist, Philippe}, url={https://errorcorrectionzoo.org/c/lambda16} }
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Permanent link:
https://errorcorrectionzoo.org/c/lambda16

Cite as:

“\(\Lambda_{16}\) Barnes-Wall lattice”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2022. https://errorcorrectionzoo.org/c/lambda16

Github: https://github.com/errorcorrectionzoo/eczoo_data/edit/main/codes/classical/analog/sphere_packing/lattice/bw/lambda16.yml.