Concatenated code[1]

Description

Also called a serially concatenated code [2]. Stub.

Decoding

Generalized minimum-distance decoder [3].

Parent

Children

  • Binary balanced spherical code — A binary balanced spherical code can be thought of as a concatenation of a constant-weight binary outer code with a shifted and scaled BPSK-like inner code.
  • Polyphase code — A polyphase code can be thought of as a concatenation of a \(q\)-ary outer code with a PSK inner code.

Cousins

References

[1]
G. D. Forney, Jr (1966). Concatenated Codes. MIT Press, Cambridge, MA.
[2]
A. Barg and G. Zemor, “Concatenated Codes: Serial and Parallel”, IEEE Transactions on Information Theory 51, 1625 (2005) DOI
[3]
G. Forney, “Generalized minimum distance decoding”, IEEE Transactions on Information Theory 12, 125 (1966) DOI
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Zoo Code ID: concatenated

Cite as:
“Concatenated code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2022. https://errorcorrectionzoo.org/c/concatenated
BibTeX:
@incollection{eczoo_concatenated, title={Concatenated code}, booktitle={The Error Correction Zoo}, year={2022}, editor={Albert, Victor V. and Faist, Philippe}, url={https://errorcorrectionzoo.org/c/concatenated} }
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Cite as:

“Concatenated code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2022. https://errorcorrectionzoo.org/c/concatenated

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