On Code Rates of Fractional Repetition Codes

Abstract

In Distributed Storage Systems (DSSs), usually, data is stored using replicated packets on different chunk servers. Recently a new paradigm of Fractional Repetition (FR) codes have been introduced, in which, data is replicated in a smart way on distributed servers using a Maximum Distance Separable (MDS) code. In this work, for a non-uniform FR code, bounds on the FR code rate and DSS code rate are studied. Using matrix representation of an FR code, some universally good FR codes have been obtained.

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