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Consider that a set of balls of n different colors are thrown into m bins with the assumption that the ball number of each color is constant and the number of balls in each bin is also constant. Our optimal goal is to find a feasible placement such that the distinct colors of remaining balls should be at least c after removing any k bins (k ≤ m) with the minimum number of balls. We present that the...
To ensure high reliability and storage efficiency, erasure codes are preferred in storage systems. With the prevalent of distributed storage systems such as clouds storage, how to design a scalable and efficient erasure-resilient code is challenging. We propose a scalable binary linear code to keep up with data growth which has the following properties. Given the group size k and the code block length...
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