Metrics generated by families of subspaces

E.M. Gabidulin; J. Simonis

doi:10.1109/18.669429

Metrics generated by families of subspaces

E.M. Gabidulin, J. Simonis

Research output: Contribution to journal › Article › Academic › peer-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 language	English
Pages (from-to)	1336-1341
Journal	IEEE Transactions on Information Theory
Volume	44
Issue number	3
DOIs	https://doi.org/10.1109/18.669429
Publication status	Published - 1998

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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.",

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AB - 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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DO - 10.1109/18.669429

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JF - IEEE Transactions on Information Theory

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