Search Results - vector linear network coding

On Matrix Representation of Extension Field GF(pL) and Its Application in Vector Linear Network Coding by Tang, Hanqi, Liu, Heping, Jin, Sheng, Liu, Wenli, Sun, Qifu

“…(p). Based on the matrix representation of GF(pL), a conventional linear network coding scheme over GF(pL…”
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Circular-Shift-Based Vector Linear Network Coding and Its Application to Array Codes by Jin, Sheng, Zhai, Zhe, Sun, Qifu Tyler, Zhang, Haijun, Li, Zongpeng

“…Circular-shift linear network coding (LNC) is a class of vector LNC with local encoding kernels selected from cyclic permutation matrices, so that it has low coding complexities…”
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Novel compressed linear network coding vectors for multihop communication networks by Abudaqa, Anas A., Mahmoud, Ashraf S. H., ALsaggaf, Alawi A., Sheltami, Tarek R.

“…Random Linear Network Coding (RLNC) is well-known to provide high throughput and low latency for vast communication networks…”
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On Vector Random Linear Network Coding in Wireless Broadcasts by Su, Rina, Zhao, Chengji, Sun, Qifu, Zhang, Zhongshan

“…Compared with scalar linear network coding (LNC) formulated over the finite field GF(2L…”
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Linear Network Coding Over Rings - Part II: Vector Codes and Non-Commutative Alphabets by Connelly, Joseph, Zeger, Kenneth

“…In Part I, we studied linear network coding over finite commutative rings and made comparisons to the well-studied case of linear network coding over finite fields…”
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Linear Vector Physical-Layer Network Coding for MIMO Two-Way Relay Channels: Design and Performance Analysis by Jiajia Guo, Tao Yang, Jinhong Yuan, Zhang, Jian A.

“…In this paper, we propose a new linear vector physical-layer network coding (NC) scheme for spatial multiplexing multiple-input multiple-output (MIMO…”
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Two-Dimensional Vector Linear Network Coding by Ma, Lan, Sun, Qifu Tyler, Li, Zongpeng

“…In this work, we introduce a new framework of linear network coding (LNC) schemes called two-dimensional (2D…”
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Characteristic Sets of Fixed-Dimension Vector Linear Codes for Non-Multicast Networks by Das, Niladri, Rai, Brijesh Kumar

“… In this paper, we show the interdependency between the characteristic of the finite field and the dimension of the vector linear network code that achieves a vector linear network coding (VLNC…”
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Vector Network Coding Based on Subspace Codes Outperforms Scalar Linear Network Coding by Etzion, Tuvi, Wachter-Zeh, Antonia

“…This paper considers vector network coding solutions based on rank-metric codes and subspace codes…”
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On the Message Dimensions of Vector Linearly Solvable Networks by Das, Niladri, Rai, Brijesh Kumar

“…It is known that there exists a network which does not have a scalar linear solution over any finite field but has a vector linear solution when message dimension is 2…”
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A Unified Framework of Array Codes Based on Vector Linear Network Coding by Sun, Qifu Tyler, Jin, Sheng, Zhai, Zhe, Wei, Hao, Li, Zongpeng

“…Inspired by the algebraic framework of vector linear network coding, we advocate in this paper to characterize an L-dimensional (n, k) array code by a k…”
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On Network Coding for Sum-Networks by Rai, Brijesh Kumar, Dey, Bikash Kumar

“… sources. We call such a network a sum-network. It is shown that there exists a solvably (and linear solvably) equivalent sum-network for any multiple-unicast network, and thus for any directed acyclic communication network…”
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Coding for Errors and Erasures in Random Network Coding by Koetter, R., Kschischang, F.R.

“… Motivated by the property that linear network coding is vector-space preserving, information transmission is modeled as the injection into the network of a basis for a vector space V…”
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Linear Network Coding, Linear Index Coding and Representable Discrete Polymatroids by Muralidharan, Vijayvaradharaj Tirucherai, Rajan, B. Sundar

“…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…”
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Circular-shift-based Vector Linear Network Coding and Its Application to Array Codes by Sheng, Jin, Zhai, Zhe, Qifu Tyler Sun, Li, Zongpeng

“…Circular-shift linear network coding (LNC) is a class of vector LNC with local encoding kernels selected from cyclic permutation matrices, so that it has low coding complexities…”
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On the Power of Vector Linear Network Coding by Das, Niladri, Rai, Brijesh Kumar

“…This paper presents yet another instance of the power of vector linear network coding over scalar linear network coding…”
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On Vector Linear Solvability of Multicast Networks by Sun, Qifu Tyler, Xiaolong Yang, Keping Long, Xunrui Yin, Zongpeng Li

“…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…”
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Towards minimising the coefficient vector overhead in random linear Network Coding by de Alwis, Chamitha, Arachchi, H. Kodikara, Fernando, Anil, Kondoz, Ahmet

“…Network Coding is a promising approach to increase network throughput and robustness to facilitate high volume traffic…”
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Vector network coding based on subspace codes outperforms scalar linear network coding by Etzion, Tuvi, Wachter-Zeh, Antonia

“… Our main result is that vector network coding can significantly reduce the required field size compared to scalar linear network coding in the same multicast network…”
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On the Hardness of Approximating the Network Coding Capacity by Langberg, Michael, Sprintson, Alex

“… shown [Lehman and Lehman, SODA 2005] that determining the "scalar linear" capacity of a general network coding instance is NP-hard…”
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