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A construction of maximally recoverable codes

Published:2022-02-16 Issue:4 Volume:90 Page:939-945
ISSN:0925-1022
Container-title:Designs, Codes and Cryptography
language:en
Short-container-title:Des. Codes Cryptogr.

Author:

Barg Alexander,Chen Zitan,Tamo Itzhak

Funder

Directorate for Computer and Information Science and Engineering

European Research Council

Israel Science Foundation

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computer Science Applications

Link

https://link.springer.com/content/pdf/10.1007/s10623-022-01020-8.pdf

Reference9 articles.

1. Alon N.: Testing subgraphs in large graphs. In: Proceedings 42nd IEEE Symposium on Foundations of Computer Science, pp. 434–441, (2001).

2. Behrend F.A.: On sets of integers which contain no three terms in arithmetical progression. Proc. Nat. Acad. Sci. USA 32, 331–332 (1946).

3. Cai H., Miao Y., Schwartz M., Tang X.: A construction of maximally recoverable codes with order-optimal field size. IEEE Trans. Inf. Theory 68(1), 204–212 (2022).

4. Gabrys R., Yaakobi E., Blaum M., Siegel P.H.: Constructions of partial MDS codes over small fields. IEEE Trans. Inf. Theory 65(6), 3692–3701 (2019).

5. Gopalan P., Huang C., Jenkins B., Yekhanin S.: Explicit maximally recoverable codes with locality. IEEE Trans. Inf. Theory 60(9), 5245–5256 (2014).

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1. Practical Design Considerations for Wide Locally Recoverable Codes (LRCs);ACM Transactions on Storage;2023-11-14

2. A construction of Maximally Recoverable LRCs for small number of local groups;2023 IEEE International Symposium on Information Theory (ISIT);2023-06-25

3. A General Family of MSRD Codes and PMDS Codes with Smaller Field Sizes from Extended Moore Matrices;SIAM Journal on Discrete Mathematics;2022-08-16

4. Multiple-Layer Integrated Interleaved Codes: A Class of Hierarchical Locally Recoverable Codes;IEEE Transactions on Information Theory;2022-08

5. Codes for Distributed Storage;Foundations and Trends® in Communications and Information Theory;2022

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