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CONSTRUCTION OF HIGH-RATE, ACCESS-OPTIMAL, MINIMUM STORAGE REGENERATING (MSR) ERASURE CODES
CONSTRUCTION OF HIGH-RATE, ACCESS-OPTIMAL, MINIMUM STORAGE REGENERATING (MSR) ERASURE CODES
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机译:高速,最佳访问,最小存储再生(MSR)擦除代码的构建
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摘要
High-Rate MSR (n, k) erasure codes (HMSR) for application in distributed data storage systems are generated using m r-Ary trees where n=k x m and r = n - k. Nodes in the tree structures represent systematic and parity storage nodes. Each parity symbol for the HMSR erasure codes will be a linear combination of maximum k + klr systematic symbols. The tree structures show that when a systematic node fails, its original systematic symbols can be recovered by accessing beta symbols for each of its leaf nodes from each of the remaining nodes. Traversing the m r-Ary trees to design a codeword array will provide the linear equations needed to solve for and recover the lost systematic symbols. When forming the linear equations, random number or other coefficients can be added to the systematic symbols to construct the parity symbols. The parities of the HMSR erasure code will ensure access-optimal, help-by-transfer recovery of any systematic node failure by using only a minimum bandwith.
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机译:使用m r-Ary树(其中n = k x m和r = n-k)生成适用于分布式数据存储系统的高速MSR(n,k)擦除码(HMSR)。树形结构中的节点代表系统存储节点和奇偶校验存储节点。 HMSR擦除码的每个奇偶校验符号将是最大k + klr个系统符号的线性组合。树结构表明,当系统节点发生故障时,可以通过从其余每个节点访问其每个叶节点的beta符号来恢复其原始系统符号。遍历m-Ary树以设计码字阵列将提供解决和恢复丢失的系统符号所需的线性方程。当形成线性方程时,可以将随机数或其他系数添加到系统符号以构造奇偶校验符号。 HMSR擦除代码的奇偶校验将通过仅使用最小带宽来确保对任何系统节点故障进行访问优化,传输帮助恢复。
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