Titlebook: Network Coding and Subspace Designs; Marcus Greferath,Mario Osvin Pavčević,María Ángele Book 2018 Springer International Publishing AG 201

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Diego Napp,Filipa Santanamones. The equilibrium point of this system, commonly referred to as the “set point”’, is individually determined. This means that determining the correct amount of medication to be administered to patients with hypothyroidism requires several treatment appointments creating an extended treatment pr

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Constructions of Cyclic Subspace Codes and Maximum Rank Distance Codesre the main tools used to introduce both constructions in this chapter. In the construction of cyclic subspace codes, codewords are considered as the root spaces of some subspace polynomials (which are a particular type of linearized polynomials). In this set up, some algebraic manipulations on the

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Multi-shot Network Codinghas opened a major research area in communication technology. Here, the network is allowed to change very quickly, which is the case in many mobile applications. The problem is suitably modeled via the operator channel, which makes a very clear connection between network coding and classical informa

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Geometrical Aspects of Subspace Codesor space .(., .) is equivalent to the geometry of the subspaces of a projective space PG., problems on subspace codes can be investigated by using geometrical arguments. Here, we illustrate this approach by showing some recent results on subspace codes, obtained via geometrical arguments. We discuss

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Partial Spreads and Vector Space Partitions decades. Not surprisingly, for this subclass typically the sharpest bounds on the maximal code size are known. The seminal works of Beutelspacher and Drake & Freeman on partial spreads date back to 1975 and 1979, respectively. From then until recently, there was almost no progress besides some comp

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