一种安全的纠错网络编码

该文利用消息空间的所有子空间上的一种度量，给出了一种安全的纠错网络编码。首先，此度量下的最小距离译码法可以纠正一定维数的错误。另外，在此编码方法下，当攻击者能窃听到的信道数目小于网络的最大流时，攻击者得不到关于信源的任何信息。最后，当攻击者能窃听网络中所有信道时，本文通过让信源和信宿共享一个随机数生成器和一个秘钥，进一步给出了能防此类强攻击者的安全纠错网络编码。

Secure Error-Correction Network Coding

In this paper, a secure error-correcting network coding is proposed using a metric on the space of all subspaces of a message vector space. It shows that a minimum distance decoder for this metric can correct errors of a limited dimension. On the other hand, when the number of channels the adversary can eavesdrop on is less than the max-flow of a network, the adversary can not get any information about the source. Furthermore, when the source and the destination shares a Pseudo-Random number generator and a secret key, the coding scheme can prevent adversary who can eavesdrop on all the channels of a network.