Scalable constructions of fractional repetition codes in distributed storage systems

Abstract—In distributed storage systems built using commodity hardware, it is necessary to store multiple replicas of every data chunk in order to ensure system reliability. In such systems, it is also often desirable for storage nodes that fail to be repaired quickly. We consider a scheme—introduced by El Rouayheb and Ramchandran—which uses combinatorial block design in order to design storage systems that enable efficient (and exact) node repair. In this work, we investigate systems where node sizes may be much larger than replication degrees, and explicitly provide algorithms for constructing these storage designs. Our designs, which are related to projective geometries, are based on the construction of bipartite cage graphs (with girth 6) and the concept of mutually-orthogonal Latin squares. We guarantee that the resulting designs require the fewest number of storage nodes for the given parameters, and further show that these systems can be easily expanded without need for f...

• Type: Journal
• Year: 2011
• Where: CORR
• Authors: Joseph C. Koo, John T. Gill III
• Keywords: CORR 2011, Designs, Education, Storage Nodes, Systems