Loading [MathJax]/extensions/TeX/ieee_stixext.js
A General Construction for PMDS Codes | IEEE Journals & Magazine | IEEE Xplore

A General Construction for PMDS Codes

Publisher: IEEE

Abstract:

Partial MDS [(PMDS) also known as maximally recoverable] codes allow for local erasure recovery by utilizing row-wise parities and additional erasure correction through g...View more

Abstract:

Partial MDS [(PMDS) also known as maximally recoverable] codes allow for local erasure recovery by utilizing row-wise parities and additional erasure correction through global parities. Recent works on PMDS codes focus on special case parameter settings, and a general construction for PMDS codes is stated as an open problem. This letter provides an explicit construction for PMDS codes for all parameters utilizing concatenation of Gabidulin and MDS codes, a technique originally proposed by Rawat et al. for constructing optimal locally repairable codes. This approach allows for PMDS constructions for any parameters albeit with large field sizes. To lower the field size, a relaxation on the rate requirement is considered, and PMDS codes based on combinatorial designs are constructed.
Published in: IEEE Communications Letters ( Volume: 21, Issue: 3, March 2017)
Page(s): 452 - 455
Date of Publication: 10 November 2016

ISSN Information:

Publisher: IEEE

Funding Agency:


References

References is not available for this document.