摘要
最近,文献(GUANG X, FU F W, ZHANG Z. IEEE Trans Inf Theory,2016,62(6):3147-3164.)给出网络MDS码信息空间与达到最小距离的错误空间的交空间的维数刻化.基于线性代数,进一步推广这一结果到一般网络纠错码,并且在给定错误模式情况下,给出网络MDS码信息空间与该错误模式所生成的错误空间的交空间维数的界.
Recently, the literature (GUANG X, FU F W, ZHANG Z. IEEE Trans Inf Theory,2016,62(6):3147-3164.)gave the dimension for the intersection space between the information space of network MDS codes and the error space. Based on the properties for linear algebra, this paper generalizes its main result to the general network error correction codes. Moreover, for a given error pattern, the bound for the dimension of intersection space between information space of network MDS codes and the error space is obtained.
作者
刘海波
廖群英
LIU Haibo;LIAO Qunying(College of Mathematics and Software Science,Sichuan Normal University,Chengdu 610066,Sichuan)
出处
《四川师范大学学报（自然科学版）》
CAS
北大核心
2019年第3期318-321,共4页
Journal of Sichuan Normal University（Natural Science）
基金
四川省科技厅项目(2016JY0134)
