On the I/O Cost of Linear Repair Schemes for Arbitrary $(n,k)$ Reed-Solomon Codes

The I/O cost, i.e., the total number of symbols to be read during the single node failure/repair process in a distributed storage system, is one of the most important metrics in repairing Reed-Solomon (RS) codes by the linear repair scheme. In this paper, we construct a linear repair scheme that is applicable to arbitrary <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">$(n,\ k)$</tex> RS codes. We show that most existing repair schemes of RS codes can be viewed as a special case of our repair scheme.

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Publication Details

Published
2024-11-24
DOI
https://doi.org/10.1109/itw61385.2024.10806986
Primary Topic
Coding theory and cryptography
Type
article
Field-Weighted Citation Impact
0.00

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On the I/O Cost of Linear Repair Schemes for Arbitrary $(n,k)$ Reed-Solomon Codes

Linqi Song, Hanxu Hou, Zhongyi Huang, Wenhao Liu et al.
Coding theory and cryptography
article

On the I/O Cost of Linear Repair Schemes for Arbitrary $(n,k)$ Reed-Solomon Codes

Linqi Song, Hanxu Hou, Zhongyi Huang, Wenhao Liu, Zhengyi Jiang
article en

Abstract

The I/O cost, i.e., the total number of symbols to be read during the single node failure/repair process in a distributed storage system, is one of the most important metrics in repairing Reed-Solomon (RS) codes by the linear repair scheme. In this paper, we construct a linear repair scheme that is applicable to arbitrary <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">$(n,\ k)$</tex> RS codes. We show that most existing repair schemes of RS codes can be viewed as a special case of our repair scheme.

City University of Hong Kong (HK), Dongguan University of Technology (CN), Tsinghua University (CN)
National Natural Science Foundation of China
Openalex Percentile: Top 78%
Coding theory and cryptography
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