Efficient and Reliable Three-dimensional Reed-solomon Codes for Holographic Data Storage

Abstract

The three-dimensional Reed-solomon (RS) code with erasures-and-errors decoding (3DRS-E) can be utilized to efiectively correct burst errors in Holographic Data Storage (HDS), a considerable application in multimedia storage. However, the RS codes have two drawbacks: 1) Received erroneous codewords may not be detected by the RS decoders; 2) The RS decoders may produce a codeword that difiers from the transmitted codeword. In the implementation of erasures-and-errors decoding, such drawbacks may cause the RS codes to provide incorrect erasure information to other RS codes, resulting in unreliable burst-error correction performance of the HDS. In order to combat the drawbacks, we propose a new three-dimensional code in which Cyclic Redundancy Check (CRC) codes are applied; we call this new code as the 3DRS-E and CRC code (3DRS-EC). Experimental results show that the 3DRSEC can signiflcantly decrease the probability of the drawbacks, thereby improving the error-correction performance of HDS systems.