Abstract
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.
Original language | English |
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Pages (from-to) | 1336-1341 |
Journal | IEEE Transactions on Information Theory |
Volume | 44 |
Issue number | 3 |
DOIs | |
Publication status | Published - 1998 |