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Metrics generated by families of subspaces

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2 Author(s)
Gabidulin, E.M. ; Moscow Inst. of Phys. & Technol., Russia ; Simonis, J.

A new family of metrics is introduced. Each of these is defined by a spanning set F of linear subspaces of a finite vector space. The norm of a vector is defined as the size of a minimal subset of F whose span contains this vector. Some examples and applications are presented. A-class of Varshamov-Gilbert bound based F-metrics is introduced. Connections with combinatorial metrics are discussed

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Information Theory, IEEE Transactions on  (Volume:44 ,  Issue: 3 )