On the Message Dimensions of Vector Linearly Solvable Networks

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. It is not known whether this result can be generalized for an arbitrary message dimension. In this letter, we show that there exist...

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Veröffentlicht in:	IEEE communications letters Jg. 20; H. 9; S. 1701 - 1704
Hauptverfasser:	Das, Niladri, Rai, Brijesh Kumar
Format:	Journal Article
Sprache:	Englisch
Veröffentlicht:	New York IEEE 01.09.2016 The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Schlagworte:	discrete polymatroids Electronic mail Indexes Linear codes Matroid theory Network coding Routing Scalar linear network coding vector linear network coding Zinc
ISSN:	1089-7798, 1558-2558
Online-Zugang:	Volltext
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