Characterizing the Rate Region of the (4,3,3) Exact-Repair Regenerating Codes
Characterizing the Rate Region of the (4,3,3) Exact-Repair Regenerating Codes
Exact-repair regenerating codes are considered for the case (n,k,d)=(4,3,3), for which a complete characterization of the rate region is provided. This characterization answers in the affirmative the open question whether there exists a non-vanishing gap between the optimal bandwidth-storage tradeoff of the functional-repair regenerating codes (i.e., the cut-set bound) and …