Title :
Metrics generated by families of subspaces
Author :
Gabidulin, Ernst M. ; Simonis, Juriaan
Author_Institution :
Moscow Inst. of Phys. & Technol., Russia
fDate :
5/1/1998 12:00:00 AM
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
Keywords :
codes; combinatorial mathematics; set theory; Varshamov-Gilbert bound based F-metrics; codes; combinatorial metrics; finite vector space; linear subspaces; minimal subset; spanning set; vector norm; Entropy; Galois fields; IEEE Press; Information theory; Stochastic processes; Vectors;
Journal_Title :
Information Theory, IEEE Transactions on
