Data encoding for data storage system based on generalized concatenated codes

Data is obtained at a data storage system. Codewords are generated from the obtained data. The codewords are computed using a generalized concatenated code and each codeword comprises symbols, wherein the symbols comprise information symbols and check symbols. The codewords are stored on an array of disks associated with the data storage system. In one example, i-th symbols of the generated codewords are stored on an i-th disk of the array of disks.