Error Correction for Cooperative Data Exchange

• Published in: IEEE communications letters 2012-11, Vol.16 (11), p.1856-1859
• Main Authors: Wentu Song, Xiumin Wang, Chau Yuen, Li, T. J., Rongquan Feng
• Format: Article
• Language: English
• Subjects: Applied sciences; Broadcasting; Clients; Coding; Coding, codes; Cooperative data exchange; Data exchange; Decoding; Error correction; Error correction & detection; Error correction codes; error detection; Exact sciences and technology; Information, signal and communications theory; Linear code; Linear codes; Messages; network coding; Networks; Polynomials; security; Signal and communications theory; Studies; Switching and signalling; Systems, networks and services of telecommunications; Telecommunications; Telecommunications and information theory; Transmission and modulation (techniques and equipments); Vectors
• ISSN: 1089-7798; 1558-2558
• DOI: 10.1109/LCOMM.2012.100812.121489

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.