Linear Network Coding, Linear Index Coding and Representable Discrete Polymatroids [PDF]
IEEE Transactions on Information Theory, 2016 Discrete polymatroids are the multi-set analogue of matroids. In this paper, we explore the connections among linear network coding, linear index coding and representable discrete polymatroids. We consider vector linear solutions of networks over a field $\mathbb{F}_q,$ with possibly different message and edge vector dimensions, which are referred to ...
Vijayvaradharaj Tirucherai Muralidharan +1 more
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Random Linear Network Coding for 5G Mobile Video Delivery [PDF]
Information, 2018 An exponential increase in mobile video delivery will continue with the demand for higher resolution, multi-view and large-scale multicast video services.
Dejan Vukobratovic +3 more
doaj +6 more sources
New parameters of linear codes expressing security performance of universal secure network coding [PDF]
, 2012 The universal secure network coding presented by Silva et al. realizes secure and reliable transmission of a secret message over any underlying network code, by using maximum rank distance codes.
Jun Kurihara +2 more
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Rethinking the Intercept Probability of Random Linear Network Coding [PDF]
, 2015 This letter considers a network comprising a transmitter, which employs random linear network coding to encode a message, a legitimate receiver, which can recover the message if it gathers a sufficient number of linearly independent coded packets, and an
Amjad Saeed Khan +2 more
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On Matrix Representation of Extension Field GF(pL) and Its Application in Vector Linear Network Coding. [PDF]
Entropy (Basel)Tang H, Liu H, Jin S, Liu W, Sun Q.
europepmc +2 more sources
A Linear Network Code Construction for General Integer Connections Based on the Constraint Satisfaction Problem [PDF]
, 2015 The problem of finding network codes for general connections is inherently difficult in capacity constrained networks. Resource minimization for general connections with network coding is further complicated.
Ying Cui +6 more
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BAR: Blockwise Adaptive Recoding for Batched Network Coding
Entropy, 2023 Multi-hop networks have become popular network topologies in various emerging Internet of Things (IoT) applications. Batched network coding (BNC) is a solution to reliable communications in such networks with packet loss.
Hoover H. F. Yin +4 more
doaj +1 more source
Sub-rate linear network coding
Computer Communications, 2023 Increasing network utilization is often considered as the holy grail of communications. In this article, the concept of sub-rate coding and decoding in the framework of linear network coding (LNC) is discussed for single-source multiple-sinks finite acyclic networks. Sub-rate coding offers an add-on to existing LNC.
B. Grinboim, I. Shrem, O. Amrani
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Linear Coded Caching Scheme for Centralized Networks [PDF]
IEEE Transactions on Information Theory, 2021 23 ...
Cheng, Minquan +4 more
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Design and Analysis of Systematic Batched Network Codes
Entropy, 2023 Systematic codes are of important practical interest for communications. Network coding, however, seems to conflict with systematic codes: although the source node can transmit message packets, network coding at the intermediate network nodes may ...
Licheng Mao +3 more
doaj +1 more source