By extending the notion of the minimum distance for linear network error correction code(LNEC), this paper introduces the concept of generalized minimum rank distance(GMRD) of variable-rate linear network error correc...By extending the notion of the minimum distance for linear network error correction code(LNEC), this paper introduces the concept of generalized minimum rank distance(GMRD) of variable-rate linear network error correction codes. The basic properties of GMRD are investigated. It is proved that GMRD can characterize the error correction/detection capability of variable-rate linear network error correction codes when the source transmits the messages at several different rates.展开更多
In this paper, we further study the connections between linear network error correction codes and representable matroids. We extend the concept of matroidal network introduced by Dougherty et al. to a generalized case...In this paper, we further study the connections between linear network error correction codes and representable matroids. We extend the concept of matroidal network introduced by Dougherty et al. to a generalized case when errors occur in multi- ple channels. Importantly, we show the necessary and sufficient conditions on the existence of linear network error correction mul- ticast/broadcast/dispersion maximum distance separable （MDS） code on a matroidal error correction network.展开更多
We consider the problem of characterizing network capacity in the presence of adversarial errors on network links,focusing in particular on the effect of small downstream links,where the downstream link is the directe...We consider the problem of characterizing network capacity in the presence of adversarial errors on network links,focusing in particular on the effect of small downstream links,where the downstream link is the directed link of feedback links across the cut of network.In this paper,we present a family of zigzag networks where the inner bound and the outer bound coincide.We also establish tight condition for this family of zig-zag network,and develop encoding scheme and detection and decoding strategy.展开更多
文摘By extending the notion of the minimum distance for linear network error correction code(LNEC), this paper introduces the concept of generalized minimum rank distance(GMRD) of variable-rate linear network error correction codes. The basic properties of GMRD are investigated. It is proved that GMRD can characterize the error correction/detection capability of variable-rate linear network error correction codes when the source transmits the messages at several different rates.
基金Supported by the National Natural Science Foundation of China(6127117461272492)
文摘In this paper, we further study the connections between linear network error correction codes and representable matroids. We extend the concept of matroidal network introduced by Dougherty et al. to a generalized case when errors occur in multi- ple channels. Importantly, we show the necessary and sufficient conditions on the existence of linear network error correction mul- ticast/broadcast/dispersion maximum distance separable （MDS） code on a matroidal error correction network.
基金Supported by the National Natural Science Foundation of China(61271174,61301178)
文摘We consider the problem of characterizing network capacity in the presence of adversarial errors on network links,focusing in particular on the effect of small downstream links,where the downstream link is the directed link of feedback links across the cut of network.In this paper,we present a family of zigzag networks where the inner bound and the outer bound coincide.We also establish tight condition for this family of zig-zag network,and develop encoding scheme and detection and decoding strategy.
