Title:
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Exact decoding probability under random linear network coding
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Author:
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Trullols Cruces, Óscar; Barceló Ordinas, José María; Fiore, Marco
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Other authors:
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Universitat Politècnica de Catalunya. Departament d'Arquitectura de Computadors; Universitat Politècnica de Catalunya. CNDS - Xarxes de Computadors i Sistemes Distribuïts |
Abstract:
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In this letter, we compute the exact probability that a receiver obtains N linearly independent packets among K ≥ N received packets, when the sender/s use/s random linear network coding over a Galois Field of size q. Such condition maps to the receiver's capability to decode the original information, and its mathematical characterization helps to design the coding so to guarantee the correctness of the transmission. Our formulation represents an improvement over the current upper bound for the decoding probability, and provides theoretical grounding to simulative results in the literature. |
Abstract:
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Peer Reviewed |
Subject(s):
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-Àrees temàtiques de la UPC::Enginyeria de la telecomunicació::Telemàtica i xarxes d'ordinadors -Computer networks -Wireless communication systems -Random linear network coding -Xarxes sense fils -- Implementació |
Rights:
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Document type:
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Article - Published version Article |
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