Code Constructions for Distributed Storage With Low Repair Bandwidth and Low Repair Complexity
Journal article, 2018

We present the construction of a family of erasure correcting codes for distributed storage that achieve low repair bandwidth and complexity at the expense of a lower fault tolerance. The construction is based on two classes of codes, where the primary goal of the first class of codes is to provide fault tolerance, while the second class aims at reducing the repair bandwidth and repair complexity. The repair procedure is a twostep procedure where parts of the failed node are repaired in the first step using the first code. The downloaded symbols during the first step are cached in the memory and used to repair the remaining erased data symbols at minimal additional read cost during the second step. The first class of codes is based on MDS codes modified using piggybacks, while the second class is designed to reduce the number of additional symbols that need to be downloaded to repair the remaining erased symbols. We numerically show that the proposed codes achieve better repair bandwidth compared to MDS codes, codes constructed using piggybacks, and local reconstruction/Pyramid codes, while a better repair complexity is achieved when compared to MDS, Zigzag, Pyramid codes, and codes constructed using piggybacks.

Codes for distributed storage

repair bandwidth

piggybacking

repair complexity

Author

Siddhartha Kumar

Simula UiB

Alexandre Graell i Amat

Chalmers, Electrical Engineering, Communication, Antennas and Optical Networks

Iryna Andriyanova

University of Cergy-Pontoise

Fredrik Brännström

Chalmers, Electrical Engineering, Communication, Antennas and Optical Networks

Eirik Rosnes

Simula UiB

IEEE Transactions on Communications

0090-6778 (ISSN) 15580857 (eISSN)

Vol. 66 12 5847-5860 8418386

Rethinking Distributed Storage for Data Storage and Wireless Content Delivery

Swedish Research Council (VR) (2016-04253), 2016-01-01 -- 2019-12-31.

Areas of Advance

Information and Communication Technology

Subject Categories

Telecommunications

Probability Theory and Statistics

Signal Processing

DOI

10.1109/TCOMM.2018.2858765

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4/5/2022 7