1. A device for redundantly storing computer data, comprising: a memory that stores machine instructions; and a processor coupled to the memory that executes the machine instructions to generate a first set of representations of a plurality of storage segments, generate a second set of representations of a plurality of regeneration constraints, group the first set of representations into a plurality of discrete groups, create a plurality of associations correlating each of the second set of representations with one of the first set of representations in each discrete group of a subset of the plurality of discrete groups, generate a parity check matrix based on the first set of representations, the second set of representations, and the plurality of associations, and construct a generator matrix based on the parity check matrix, each of the plurality of discrete groups corresponding to a respective storage node of a plurality of storage nodes, and the plurality of associations randomly distributed among the plurality of discrete groups.