On Code Rates of Fractional Repetition Codes

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. Index Terms Distributed Storage Systems, Fractional Repetition Code, Coding for Distributed Storage.