Repair optimal erasure codes through Hadamard designs

Dimitris S. Papailiopoulos, Alexandros G. Dimakis, Viveck R. Cadambe

Research output: Chapter in Book/Report/Conference proceedingConference contribution

37 Scopus citations

Abstract

In distributed storage systems that employ erasure coding, the issue of minimizing the total communication required to exactly rebuild a storage node after a failure arises. This repair bandwidth depends on the structure of the storage code and the repair strategies used to restore the lost data. Designing high-rate maximum-distance separable (MDS) codes that achieve the optimum repair communication has been a well-known open problem. In this work, we use Hadamard matrices to construct the first explicit 2-parity MDS storage code with optimal repair properties for all single node failures, including the parity nodes. Our construction relies on a novel method of achieving perfect interference alignment over finite fields with a finite file size, or number of symbol extensions.

Original languageEnglish (US)
Title of host publication2011 49th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2011
Pages1382-1389
Number of pages8
DOIs
StatePublished - 2011
Event2011 49th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2011 - Monticello, IL, United States
Duration: Sep 28 2011Sep 30 2011

Publication series

Name2011 49th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2011

Other

Other2011 49th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2011
CountryUnited States
CityMonticello, IL
Period9/28/119/30/11

All Science Journal Classification (ASJC) codes

  • Computer Networks and Communications
  • Control and Systems Engineering

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    Papailiopoulos, D. S., Dimakis, A. G., & Cadambe, V. R. (2011). Repair optimal erasure codes through Hadamard designs. In 2011 49th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2011 (pp. 1382-1389). [6120328] (2011 49th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2011). https://doi.org/10.1109/Allerton.2011.6120328