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Multi-channel group-orbit code[1]

Description

Extension of group-orbit codes to multi-antenna transmission, in which a finite matrix group acts on a reference \(T\times n\) spacetime matrix to generate the codebook.

Member of code lists

Primary Hierarchy

Classical Domain
Matrix Kingdom
Matrix-based codeECC
Spacetime code (STC)
Spacetime block code (STBC)
Parents
Spacetime block code (STBC)
Group-orbit codeECC
Multi-channel group-orbit code

References

[1]
B. L. Hughes, “Differential space-time modulation”, IEEE Transactions on Information Theory 46, 2567 (2000) DOI
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Zoo Code ID: spacetime_group

Cite as:
“Multi-channel group-orbit code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2026. https://errorcorrectionzoo.org/c/spacetime_group, arXiv:2606.11484
BibTeX:
@incollection{eczoo_spacetime_group,
title={Multi-channel group-orbit code},
booktitle={The Error Correction Zoo},
year={2026},
editor={Albert, Victor V. and Faist, Philippe},
eprint={2606.11484},
doi={10.48550/arXiv.2606.11484},
url={https://errorcorrectionzoo.org/c/spacetime_group}
}
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Permanent link:
https://errorcorrectionzoo.org/c/spacetime_group

Cite as:

“Multi-channel group-orbit code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2026. https://errorcorrectionzoo.org/c/spacetime_group, arXiv:2606.11484

Github: https://github.com/errorcorrectionzoo/eczoo_data/edit/main/codes/classical/matrices/spacetime/spacetime_group.yml.