Enumerative Coding for Grassmannian Space

The Grassmannian space G q (n, k) is the set of all k-dimensional subspaces of the vector space F q n . Recently, codes in the Grassmannian have found an application in network coding. The main goal of this paper is to present efficient enumerative encoding and decoding techniques for the Grassmanni...

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Veröffentlicht in:	IEEE transactions on information theory Jg. 57; H. 1; S. 365 - 374
Hauptverfasser:	Silberstein, N, Etzion, T
Format:	Journal Article
Sprache:	Englisch
Veröffentlicht:	New York, NY IEEE 01.01.2011 Institute of Electrical and Electronics Engineers The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Schlagworte:	Applied sciences Codes Coding Coding, codes Complex systems Complexity Complexity theory Decoding Digits Encoding Enumerative coding Error correction codes Exact sciences and technology Ferrers diagram Graphics Grassmannian identifying vector Indexes Information theory Information, signal and communications theory Mathematical analysis Methods Network coding partitions reduced row echelon form Representations Signal and communications theory Subspaces Telecommunications and information theory Vector space Vectors (mathematics) Enumerative coding partitions Ferrers diagram Vector space Coding Subspace method Grassmannian Decoding reduced row echelon form identifying vector
ISSN:	0018-9448, 1557-9654
Online-Zugang:	Volltext
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