Generalized concatenated code (GCC)[1,2] 

Description

A code whose encoding consists of a recursive serial concatenation of one or more codes.

Notes

Introduction to GCCs [3].

Parent

Children

  • Justesen code — Justesen codes can be considered as a generalized concatenation of a Reed-Solomon outer code with \(N\) distinct binary inner codes.
  • Polar code — Polar codes can be represented as generalized concatenations of their kernels.
  • Concatenated code

Cousin

References

[1]
È. L. Blokh, V. V. Zyablov, “Coding of Generalized Concatenated Codes”, Probl. Peredachi Inf., 10:3 (1974), 45–50; Problems Inform. Transmission, 10:3 (1974), 218–222
[2]
V. A. Zinoviev, “Generalized Cascade Codes”, Probl. Peredachi Inf., 12:1 (1976), 5–15; Problems Inform. Transmission, 12:1 (1976), 2–9
[3]
V. Zyablov, S. Shavgulidze, and M. Bossert, “An Introduction to Generalized Concatenated Codes”, European Transactions on Telecommunications 10, 609 (1999) DOI
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Zoo Code ID: generalized_concatenated

Cite as:
“Generalized concatenated code (GCC)”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2021. https://errorcorrectionzoo.org/c/generalized_concatenated
BibTeX:
@incollection{eczoo_generalized_concatenated, title={Generalized concatenated code (GCC)}, booktitle={The Error Correction Zoo}, year={2021}, editor={Albert, Victor V. and Faist, Philippe}, url={https://errorcorrectionzoo.org/c/generalized_concatenated} }
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Cite as:

“Generalized concatenated code (GCC)”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2021. https://errorcorrectionzoo.org/c/generalized_concatenated

Github: https://github.com/errorcorrectionzoo/eczoo_data/edit/main/codes/classical/properties/concatenated/generalized_concatenated.yml.