Abstract: A computer-implemented method for improving redundant storage fault tolerance may include 1) identifying a plurality of storage devices storing an encoded set of data, with the encoded set of data including a redundant form of an underlying set of data, 2) determining that a subset of the plurality of storage devices have failed, 3) reconstructing encoded data lost due to the failure of the subset of the plurality of storage devices, and then 4) redundantly storing the reconstructed encoded data on the plurality of storage devices. Various other methods, systems, and computer-readable media are also disclosed.

Abstract: A computer-implemented method for redundant data storage may include identifying a storage system. The computer-implemented method may also include identifying a unit of data to be redundantly stored. The computer-implemented method may further include identifying an integer that represents the unit of data. The computer-implemented method may additionally include identifying a set of pairwise coprimes. The computer-implemented method may further include generating a set of shares, with each share including a reduction of the integer modulo a corresponding pairwise coprime in the set of pairwise coprimes. The computer-implemented method may also include redundantly storing the unit of data by storing the set of shares on the storage system. Various other methods and systems are also disclosed.