A data storage system includes accelerated storages that store data encoded using a first data integrity scheme. The data storage system also includes a global enumerator that obtains a request to use a second data integrity scheme to store the data; in response to obtaining the request: performs a recoding process for the data including: reading data chunks, corresponding to the data, from the storages; generating new data chunks based on: the read data chunks and the second data integrity scheme; storing the new data chunks in the accelerated storages in an arrangement specified by the second data integrity scheme; and deleting the data chunks after storing the new data chunks.