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Extended IRA (eIRA) code[1–3]

Description

A generalization of the IRA code in which the outer LDGM code is replaced by a random sparse matrix containing no weight-two columns.

Member of code lists

Primary Hierarchy

Classical Domain
Binary Kingdom
Binary codeECC
Binary group-orbit codeECC
Linear binary codeLinear \(q\)-ary Linear code over \(\mathbb{Z}_q\) ECC
Low-density parity-check (LDPC) code\(q\)-ary LDPC Tanner Linear \(q\)-ary LRC Distributed-storage ECC
Multi-edge LDPC code
Irregular LDPC code
Parents
Irregular LDPC code
Extended IRA (eIRA) code

References

[1]
M. Yang, Y. Li, and W. E. Ryan, Design of efficiently-encodable moderate-length high-rate irregular LDPC codes, Proc. 40th Annual Allerton Conference on Communication, Control, and Computing, Champaign, IL., pp. 1415–1424, October 2002
[2]
M. Yang and W. E. Ryan, “Lowering the error-rate floors of moderate-length high-rate irregular ldpc codes”, IEEE International Symposium on Information Theory, 2003. Proceedings. 237 (2003) DOI
[3]
M. Yang, W. E. Ryan, and Y. Li, “Design of Efficiently Encodable Moderate-Length High-Rate Irregular LDPC Codes”, IEEE Transactions on Communications 52, 564 (2004) DOI
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Your contribution is welcome!

on github.com (edit & pull request)

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Zoo Code ID: extended_ira

Cite as:
“Extended IRA (eIRA) code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2026. https://errorcorrectionzoo.org/c/extended_ira, arXiv:2606.11484
BibTeX:
@incollection{eczoo_extended_ira,
title={Extended IRA (eIRA) 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/extended_ira}
}
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Permanent link:
https://errorcorrectionzoo.org/c/extended_ira

Cite as:

“Extended IRA (eIRA) code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2026. https://errorcorrectionzoo.org/c/extended_ira, arXiv:2606.11484

Github: https://github.com/errorcorrectionzoo/eczoo_data/edit/main/codes/classical/bits/tanner/irregular/ra/extended_ira.yml.