Tamo-Barg-Vladut code[1,2] 

Description

Polynomial evaluation code on algebraic curves, such as Hermitain or Garcia-Stichtenoth curves, that is constructed to be an LRC code. Codes can be constructed to be be able to recover locally after one or more erasures as well as to tackle the availability problem.

Rate

Tamo-Barg-Vladut codes on asymptotically maximal curves improve upon the asymptotic LRC Gilbert-Varshamov bound [2].

Parents

Child

Cousin

  • Hermitian code — Tamo-Barg-Vladut codes can be defined on Hermitian curves.

References

[1]
A. Barg, I. Tamo, and S. Vladut, “Locally recoverable codes on algebraic curves”, (2015) arXiv:1501.04904
[2]
A. Barg, I. Tamo, and S. Vladut, “Locally recoverable codes on algebraic curves”, 2015 IEEE International Symposium on Information Theory (ISIT) (2015) arXiv:1603.08876 DOI
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Zoo Code ID: tamo_barg_vladut

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

Cite as:

“Tamo-Barg-Vladut code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2024. https://errorcorrectionzoo.org/c/tamo_barg_vladut

Github: https://github.com/errorcorrectionzoo/eczoo_data/edit/main/codes/classical/q-ary_digits/distributed_storage/lrc/tamo_barg_vladut.yml.