论文标题

具有订单最佳字段大小的最大可回收代码的构造

A Construction of Maximally Recoverable Codes with Order-Optimal Field Size

论文作者

Cai, Han, Miao, Ying, Schwartz, Moshe, Tang, Xiaohu

论文摘要

我们构建基于线性化的Reed-Solomon代码的最大可恢复的代码(对应于部分MDS代码)。与已知结构相比,新代码的场尺寸要求较小。对于某些渐近方案,构造的代码具有最佳的字母大小,渐近地与已知的下限匹配。

We construct maximally recoverable codes (corresponding to partial MDS codes) which are based on linearized Reed-Solomon codes. The new codes have a smaller field size requirement compared with known constructions. For certain asymptotic regimes, the constructed codes have order-optimal alphabet size, asymptotically matching the known lower bound.

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