Title
Rank-Metric Codes with Local Recoverability
Abstract
We construct rank-metric codes with locality constraints under the rank-metric. Our motivation stems from designing codes for efficient data recovery from correlated and/or mixed (i.e., complete and partial) failures in distributed storage systems. Specifically, the proposed local rank-metric codes can recover locally from crisscross failures, which affect a limited number of rows and/or columns of the storage system. First, we prove a Singleton-like upper bound on the minimum rank-distance of linear codes with rank-locality constraints. Second, we construct a family of locally recoverable rank-metric codes that achieve this bound for a broad range of parameters. The proposed construction builds upon Tamo and Barg's method for constructing locally repairable codes with optimal minimum Hamming distance.
Year
DOI
Venue
2017
10.1109/ALLERTON.2016.7852348
2016 54TH ANNUAL ALLERTON CONFERENCE ON COMMUNICATION, CONTROL, AND COMPUTING (ALLERTON)
DocType
Volume
ISSN
Journal
abs/1707.05944
2474-0195
Citations 
PageRank 
References 
2
0.37
45
Authors
4
Name
Order
Citations
PageRank
Swanand Kadhe15411.22
Salim Y. El Rouayheb218818.00
Iwan M. Duursma327926.85
Alex Sprintson427935.35