Metrics generated by families of subspaces

E.M. Gabidulin, J. Simonis

Research output: Contribution to journalArticleAcademicpeer-review

5 Citations (Scopus)

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 languageEnglish
Pages (from-to)1336-1341
JournalIEEE Transactions on Information Theory
Volume44
Issue number3
DOIs
Publication statusPublished - 1998

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