A data storage system includes a processing circuit, a lookup table (LUT), and a decoding circuit. The processing circuit is arranged to receive a first logical block address (LBA) from a host. The LUT is arranged to store a storage address mapping to the first LBA. The decoding circuit is arranged to utilize the storage address to read storage data from a storing circuit, and decode a first data sector in the storage data according to an error checking and correcting code in the storage data, and the first data sector at least comprises a second LBA.