网络纠错的改进编码边界

Shenghao Yang, R. Yeung
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引用次数: 28

摘要

针对给定的一组定义线性网络码的局部编码核,利用网络码的权值性质,证明了用于网络纠错的Hamming界、Singleton界和Gilbert-Varshamov界的改进版本。这种改进的单例边界对于线性消息集也证明是紧的。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Refined Coding Bounds for Network Error Correction
With respect to a given set of local encoding kernels defining a linear network code, refined versions of the Hamming bound, the Singleton bound and the Gilbert-Varshamov bound for network error correction are proved by the weight properties of network codes. This refined Singleton bound is also proved to be tight for linear message sets.
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