An Efficient Decoding Algorithm of Matrix Partition Codes

Recently, a multiple Slepian-Wolf Coding method called Matrix Partition Codes has been introduced. However, no explicit decoding algorithm has been established so far. In this letter, we propose a two-step decoding algorithm which just needs an extra one-time preprocessing (O(rsn|D|+ r|D|log(|D|) + n²sm)). To illustrate the efficiency of our algorithm, we analyze the time complexity of our algorithm, and the results show that the complexity of our method (O(r log(|D|) + msn)) is exponentially better than the brute-force search method (O(|F|ⁿ|D|msn)).