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The $(n,k)$ combination property (CP) is defined as follows: $k$ source packets are mapped into $n \geq k$ packets and any $k$ out of these $n$ packets are able to recover the information of the original $k$ packets. This $(n,k)$ CP is extensively needed by cloud storage service providers. Reed-Solomon (RS) codes possess CP at the cost of high encoding and decoding complexity for two...
A data reconstruction scheme for the storage code that possesses the combination property (CP) and zigzag decod-able (ZD) is proposed for distributed storage system. (n, k) CP is defined as follows: k message with each containing L bits are encoded to n ≥ k packets and then stored into n storage nodes, respectively. Any k from these n storage nodes can recover the original message. The code operates...
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