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Single-Exclusion Number and the Stopping Redundancy of MDS Codes

机译:单排除号和MDS代码的停止冗余

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摘要

For a linear block code ${cal C}$, its stopping redundancy is defined as the smallest number of check nodes in a Tanner graph for ${cal C}$, such that there exist no stopping sets of size smaller than the minimum distance of ${cal C}{bf .},$ Schwartz and Vardy conjectured that the stopping redundancy of a maximum-distance separable (MDS) code should only depend on its length and minimum distance.
机译:对于线性块代码$ {cal C} $,其停止冗余定义为Tanner图中$ {cal C} $的最小校验节点数,因此不存在大小小于最小距离的停止集Schwartz和Vardy在$ {cal C} {bf。}中得出的结论是,最大距离可分离(MDS)码的停止冗余应仅取决于其长度和最小距离。

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