Coding for Network Coding
نویسندگان
چکیده
We consider communication over a noisy network under randomized linear network coding. Possible error mechanism include nodeor linkfailures, Byzantine behavior of nodes, or an over-estimate of the network min-cut. Building on the work of Kötter and Kschischang, we introduce a probabilistic model for errors. We compute the capacity of this channel and we define an error-correction scheme based on random sparse graphs and a low-complexity decoding algorithm. By optimizing over the code degree profile, we show that this construction achieves the channel capacity in complexity which is jointly quadratic in the number of coded information bits and sublogarithmic in the error probability.
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ورودعنوان ژورنال:
- CoRR
دوره abs/0711.3935 شماره
صفحات -
تاریخ انتشار 2007