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Linear Network Coded Wireless Caching

2018 IEEE International Conference on Communications Workshops (ICC Workshops), 2018
This paper studies a $K\times M$ multiple-input multiple-output (MIMO) wireless caching that consists of a library, $K$ base stations (BSs), and ℳ users, where each BS and user are equipped with $N_T$ and $N_R$ antennas respectively. Consider that each BS has a local cache that can prefetch some popular data requested by users from the library.
Long Shi, Kui Cai, Tao Yang, Taotao Wang
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Fibonacci Jacket Linear Network Codes

2008 The 9th International Conference for Young Computer Scientists, 2008
Motivated by the elegant relationships of the row vectors of the Jacket matrix Jn and its inverse matrix Jn -1, which are both consisted of Fibonacci number sequence over the finite field GF(p), a novel network work code is constructed structurally with efficiency. The present network codes have advantages of eavesdropper-preventing and error-detecting
Ying Guo, Zhigang Chen
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Binary Linear Network Codes

2007 IEEE Information Theory Workshop on Information Theory for Wireless Networks, 2007
Network coding over a delay-free acyclic communication network with single source is considered in this paper. The network is modeled as a directed acyclic graph G where each edge in G is assumed to have unit link capacity. Previous works on network coding require a sufficiently large field such that the network has either a linear multicast, a linear ...
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Variable-Rate Linear Network Coding

2006 IEEE Information Theory Workshop, 2006
Ahlswede et al., (2000) established that if coding is applied to nodes in a network, rather than routing alone, the network capacity can be improved. Li et al., (2003) proved that linear network coding is sufficient to achieve the maximum capacity in a single-source finite acyclic network. In this paper, we study variable-rate linear network coding and
Silas L. Fong, Raymond W. Yeung
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Strongly Secure Linear Network Coding

IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, 2008
In a network with capacity h for multicast, information Xh = (X1, X2, ₀, Xh) can be transmitted from a source node to sink nodes without error by a linear network code. Furthermore, secret information Sr = (S1, S2, ₀, Sr) can be transmitted securely against wiretappers by k-secure network coding for k ≤ h-r.
K. HARADA, H. YAMAMOTO
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On network matroids and linear network codes

2008 IEEE International Symposium on Information Theory, 2008
This paper deals with matroids on the edge set of a network. Through the structure of edge-disjoint paths, a single-source network is associated with a network matroid, which turns out to be representable. A linear network code on an acyclic network assigns a coding vector to every edge.
null Qifu Sun   +2 more
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Constructing multicast networks where vector linear coding outperforms scalar linear coding

2015 IEEE International Symposium on Information Theory (ISIT), 2015
Vector linear network coding (LNC) is a generalization of the conventional scalar LNC, such that the data unit transmitted on every edge is an L-dimensional vector of data symbols over a base field GF(q). There are classical exemplifying multi-source networks that have simple vector linear solutions but no scalar linear solutions over any field.
Qifu Sun   +3 more
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Homomorphic error-control codes for linear network coding in packet networks

China Communications, 2017
In this work, the homomorphism of the classic linear block code in linear network coding for the case of binary field and its extensions is studied. It is proved that the classic linear error-control block code is homomorphic network error-control code in network coding.
Xiaodong Han, Fei Gao
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Linear Network Error Correction Coding Revisited

2020 IEEE International Symposium on Information Theory (ISIT), 2020
We consider linear network error correction (LNEC) coding when errors may occur on the edges of a communication network of which the topology is known. In this paper, we first revisit and explore the framework of LNEC coding, and then unify two well-known LNEC coding approaches.
Xuan Guang, Raymond W. Yeung
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Boolean Networks: Coding, Linearizing and Dynamics

2010 International Workshop on Chaos-Fractal Theories and Applications, 2010
In this paper, an effective scheme is proposed for coding $n$-node Boolean networks. The scheme can uniquely designate a distinguished integer in the range from $0$ to $(2^{n\times2^n}-1)$ for any a given Boolean network. At the same time, a linearized matrix is obtained for any a given Boolean network.
Qinbin He, Fangyue Chen, Zengrong Liu
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