Decoding Probability in Random Linear Network Coding with Packet Losses

@article{Chiasserini2013DecodingPI,
  title={Decoding Probability in Random Linear Network Coding with Packet Losses},
  author={Carla-Fabiana Chiasserini and Emanuele Viterbo and Claudio Casetti},
  journal={IEEE Communications Letters},
  year={2013},
  volume={17},
  pages={1-4}
}
We focus on a network where n sources send data to k destinations, through m≥ n relay nodes employing random linear network coding. The coefficients used to encode the data packets are extracted from a Galois field of size q. Unlike previous work, we consider that the relay nodes may not receive some packets due to link failures. This implies that a destination may be unable to successfully decode the received data packets due to both missing packets at the relays and linearly dependent… CONTINUE READING

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Counting matrices over finite fields with support on skew Young diagrams and complements of Rothe diagrams.

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