Scalar Linear Solvability of Matroidal Error Correction Network

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概要

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• In this paper, we further study linear network error correction code on a multicast network and attempt to establish a connection between linear network error correction codes and representable matroids. We propose a similar but more accurate definition of matroidal error correction network which has been introduced by K. Prasad et al. Moreover, we extend this concept to a more general situation when the given linear network error correction codes have different error correcting capacity at different sinks. More importantly, using a different method, we show that a multicast error correction network is scalar-linearly solvable if and only if it is a matroidal error correction network.

著者

• ZHAO Xubo

  State Key Laboratory of ISN, Xidian University

• ZHOU Hang

  State Key Lab. of ISN, Xidian University

• YANG Xiaoyuan

  Key Laboratory of Network and Information Security under the Chinese Armed Police Force, Electronic Department, Engineering University of the Armed Police Force

• ZHAO Xubo

  State Key Lab. of ISN, Xidian University

関連論文

• Scalar Linear Solvability of Matroidal Error Correction Network
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• Equivalent Conditions to Determine the GEKs by the LEKs in a Convolutional Network Code over a Cyclic Network
• The Explicit Decoding Delay Probability Distribution Based on Random Linear Coding Scheme

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