Alternative names: Cascade code.
Description
A code that combines multiple outer codes of the same length and (possibly) different dimensions with a single inner code; see Refs. [3][4; Ch. 18].Cousin
Member of code lists
Primary Hierarchy
Parents
Generalized concatenated code (GCC)
Children
Justesen codes can be considered as a generalized concatenation of an outer RS code with \(N\) distinct binary inner codes.
Polar codes can be represented as generalized concatenations of their kernels.
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. A. Zinoviev, “Generalized Cascade Codes”, Probl. Peredachi Inf., 12:1 (1976)
- [4]
- F. J. MacWilliams and N. J. A. Sloane. The theory of error correcting codes. Elsevier, 1977.
- [5]
- V. Zyablov, S. Shavgulidze, and M. Bossert, “An Introduction to Generalized Concatenated Codes”, European Transactions on Telecommunications 10, 609 (1999) DOI
- [6]
- Dumer, Ilya I. "Concatenated codes and their multilevel generalizations." Handbook of coding theory (1998).
Page edit log
- Alexander Barg (2024-08-03) — most recent
- Victor V. Albert (2021-11-04)
Cite as:
“Generalized concatenated code (GCC)”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2024. https://errorcorrectionzoo.org/c/generalized_concatenated