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Twisted BCH code[1–3]

Description

Additive or linear \(q\)-ary code obtained from BCH codes via various lengthening and extension procedures such as Construction X and Construction XX.

Cousins

Member of code lists

Primary Hierarchy

Classical Domain
Galois-field Kingdom
\(q\)-ary codeECC
Additive \(q\)-ary codeECC
Parents
Additive \(q\)-ary code
Twisted BCH code
Children
Bose–Chaudhuri–Hocquenghem (BCH) code
Twisted BCH codes are obtained from \(q\)-ary BCH codes via various lengthening and extension procedures.

References

[1]
J. Bierbrauer and Y. Edel, “New code parameters from Reed-Solomon subfield codes”, IEEE Transactions on Information Theory 43, 953 (1997) DOI
[2]
J. Bierbrauer and Y. Edel, “Extending and LengtheningBCHCodes”, Finite Fields and Their Applications 3, 314 (1997) DOI
[3]
Y. Edel and J. Bierbauer, “Twisted BCH-codes”, Journal of Combinatorial Designs 5, 377 (1997) DOI
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Zoo Code ID: twisted_bch

Cite as:
“Twisted BCH code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2024. https://errorcorrectionzoo.org/c/twisted_bch
BibTeX:
@incollection{eczoo_twisted_bch, title={Twisted BCH code}, booktitle={The Error Correction Zoo}, year={2024}, editor={Albert, Victor V. and Faist, Philippe}, url={https://errorcorrectionzoo.org/c/twisted_bch} }
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Permanent link:
https://errorcorrectionzoo.org/c/twisted_bch

Cite as:

“Twisted BCH code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2024. https://errorcorrectionzoo.org/c/twisted_bch

Github: https://github.com/errorcorrectionzoo/eczoo_data/edit/main/codes/classical/q-ary_digits/additive/twisted_bch.yml.