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arXiv 1209.5212cs.ITmath.IT
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协同数据交换中的纠错

Error Correction for Cooperative Data Exchange

Wentu Song, Xiumin Wang, Chau Yuen, Tiffany Jing Li, Rongquan Feng

摘要:

本文研究了协作数据交换系统中的纠错问题,其中一些客户端被破坏或失败,并发送虚假消息。假设每个客户端拥有一个子集的总消息,我们分析了纠错能力时,每个客户端被允许广播只有一个线性编码的消息。我们的纠错能力界限决定了在不危及每个客户端的最终解码解决方案的情况下,可以受到损害或失败的客户端的最大数量。我们表明,确定性的,可行的线性代码存在,可以实现派生的界限。我们还评估随机线性码,其中的编码系数是随机抽取的,然后开发的概率为客户端承受一定数量的妥协或失败的同行,并成功地推导出完整的消息,任何网络规模和任何初始的消息分布。

英文摘要:

This paper considers the problem of error correction for a cooperative data exchange (CDE) system, where some clients are compromised or failed and send false messages. Assuming each client possesses a subset of the total messages, we analyze the error correction capability when every client is allowed to broadcast only one linearly-coded message. Our error correction capability bound determines the maximum number of clients that can be compromised or failed without jeopardizing the final decoding solution at each client. We show that deterministic, feasible linear codes exist that can achieve the derived bound. We also evaluate random linear codes, where the coding coefficients are drawn randomly, and then develop the probability for a client to withstand a certain number of compromised or failed peers and successfully deduce the complete message for any network size and any initial message distributions.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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