Abstract | ||
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In this letter, we first present a class of networks named
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<italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">-Network</italic>
for every integer
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and
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and we show that every network of this class admits a vector linear solution if and only if the message dimension is an integer multiple of
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. We show that the
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<italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">-Network</italic>
presented in the work of Das and Rai and the
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<italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">Network</italic>
introduced in the work of Connelly and Zeger which are generalizations to the
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-Network can be considered as special cases of Generalized
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-Network for
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and
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respectively. Then we focus on a problem induced by depending on integer multiples of
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as message dimensions to achieve the linear coding capacity in the class of Generalized
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(proven to be equal to 1). We note that for large values of
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, packet sizes will grow beyond feasible thresholds in real-world networks. This motivates us to examine the capacity of the network in the case of fixed message dimensions. A study on the contrast among the impacts of fixed message dimensions in different networks of class
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-Network highlights the importance of the examined problem. In addition to complete/partial solutions obtained for different networks of the class Generalized
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-Network, our studies pose some open problems which make the Generalized
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-Network an attractive topic for further research. |
Year | DOI | Venue |
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2020 | 10.1109/LCOMM.2019.2950193 | IEEE Communications Letters |
Keywords | DocType | Volume |
Network coding,Linear codes,Routing,Random processes,Computer science | Journal | 24 |
Issue | ISSN | Citations |
1 | 1089-7798 | 0 |
PageRank | References | Authors |
0.34 | 0 | 8 |
Name | Order | Citations | PageRank |
---|---|---|---|
Vikrant Singh | 1 | 0 | 0.34 |
Behrouz Zolfaghari | 2 | 0 | 0.34 |
Chunduri Venkata Dheeraj Kumar | 3 | 0 | 0.34 |
Brijesh Kumar Rai | 4 | 95 | 13.98 |
Khodakhast Bibak | 5 | 0 | 0.34 |
Gautam Srivastava | 6 | 359 | 69.28 |
Swapnoneel Roy | 7 | 0 | 0.34 |
Takeshi Koshiba | 8 | 0 | 0.34 |