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Real-number block code[2,3][1; pg. 321]

Alternative names: Real code.

Description

A block code encoding a \(k\)-dimensional vector of real or complex numbers into an \(n\)-dimensional real or complex vector space.

Cousin

Member of code lists

Primary Hierarchy

Classical Domain
Analog Kingdom
Analog codeECC
Parents
Analog code
Real-number block codes encode continuous sets of real or complex numbers into a real or complex vector space.
Real-number block code
Children
Analog RS code

References

[1]
F. J. MacWilliams and N. J. A. Sloane. The theory of error correcting codes. Elsevier, 1977.
[2]
J. Wolf, “Redundancy, the Discrete Fourier Transform, and Impulse Noise Cancellation”, IEEE Transactions on Communications 31, 458 (1983) DOI
[3]
T. Marshall, “Coding of Real-Number Sequences for Error Correction: A Digital Signal Processing Problem”, IEEE Journal on Selected Areas in Communications 2, 381 (1984) DOI
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Zoo Code ID: real_block

Cite as:
“Real-number block code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2025. https://errorcorrectionzoo.org/c/real_block
BibTeX:
@incollection{eczoo_real_block, title={Real-number block code}, booktitle={The Error Correction Zoo}, year={2025}, editor={Albert, Victor V. and Faist, Philippe}, url={https://errorcorrectionzoo.org/c/real_block} }
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Permanent link:
https://errorcorrectionzoo.org/c/real_block

Cite as:

“Real-number block code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2025. https://errorcorrectionzoo.org/c/real_block

Github: https://github.com/errorcorrectionzoo/eczoo_data/edit/main/codes/classical/analog/real_block/real_block.yml.