Frames, graphs and erasures

Two-uniform frames and their use for the coding of vectors are the main subject of this paper. These frames are known to be optimal for handling up to two erasures, in the sense that they minimize the largest possible error when up to two frame coefficients are set to zero. Here, we consider various...

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Bibliographic Details
Published in:	Linear algebra and its applications Vol. 404; pp. 118 - 146
Main Authors:	Bodmann, Bernhard G., Paulsen, Vern I.
Format:	Journal Article
Language:	English
Published:	New York, NY Elsevier Inc 15.07.2005 Elsevier Science
Subjects:	Algebra Codes Conference matrix Erasures Error bounds Exact sciences and technology Frames Graphs Hadamard matrix Linear and multilinear algebra, matrix theory Mathematics Sciences and techniques of general use Two-graphs Frames Codes Erasures Primary 46L05 47A20 Hadamard matrix Secondary 46A22 Conference matrix Error bounds Graphs 46M10 Two-graphs 46H25 Error estimation 47A20 Frames Error bound Erasure Graph theory Code Equivalence classes Coding Primary Hadamard transformation
ISSN:	0024-3795, 1873-1856
Online Access:	Get full text
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