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On the interior points of the storage-repair bandwidth tradeoff of regenerating codes

机译:关于再生码的存储修复带宽权衡的内部点

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It is well known that it is possible to construct regenerating codes with exact repair that operate at the minimum storage regeneration (MSR) and minimum bandwidth regenerating (MBR) endpoints of the storage-repair bandwidth tradeoff. It has also been known for some time, that it is not possible to construct exact-repair codes that operate exactly at an interior point, except possibly, in a small region adjacent to the MSR point. There have been three recent results relating to code constructions for the interior points. In the first, a normalized version of the classical storage-repair bandwidth tradeoff is introduced. This shows that when measured against practical metrics such as storage overhead and average repair bandwidth per unit time and unit data symbol stored, interior-point constructions are of equal importance as constructions for MSR and MBR points. A second major result uses an information-theory inequality prover to establish that it is not possible in general, to construct codes that achieve the interior points even asymptotically. The third result presents a construction for regenerating codes that does better than space-sharing, compares well with codes for MSR and MBR points when viewed in the normalized tradeoff framework, and which is capable of achieving a single interior point. An overview of these results is presented here.
机译:众所周知,可以通过在最小存储再生(MSR)和存储 - 修复带宽折衷的最小存储再生(MSR)和最小带宽再生(MBR)端点处操作的精确修复来构造再生码。它也已知一段时间,即不可能构建在与MSR点相邻的小区域中的内部点处精确地操作的精确修复码。最近有三个与内部点的代码结构有关的结果。首先,介绍了经典存储修复带宽权衡的标准化版本。这表明,当针对每个单位时间和单位数据符号的单位时间和单位数据符号等存储开销和平均修复带宽等实际测量来测量时,内部点结构与MSR和MBR点的结构相同。第二个主要结果使用信息理论不等式证明,以确定它是不可能的,以构建甚至渐近地实现内部点的代码。第三结果提出了用于再生代码的结构,该码比空间共享更好,与在归一化权衡框架中观看时的MSR和MBR点的代码很好地比较,并且能够实现单个内部点。这里介绍了这些结果的概述。

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