Metrics generated by families of subspaces
E.M. Gabidulin, Juriaan Simonis · IEEE Transactions on Information Theory · 1998
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.