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Problemy Peredachi Informatsii, 2007, Volume 43, Issue 1, Pages 67–79 (Mi ppi7)  
This article is cited in 3 scientific papers (total in 3 papers)

Source Coding

Random Coding Bound for the Second Moment of Multidimensional Numerical Lattices

B. D. Kudryashov, K. V. Yurkov

Saint-Petersburg State University of Aerospace Instrumentation
Full-text PDF (1135 kB) Citations (3)
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Abstract: Efficiency of lattice quantization depends on the parameter of a lattice called the normalized second moment of the Voronoi polyhedron. We apply random-coding methods to study lattices generated by $q$-ary linear codes. We prove that in this class there are lattices with the normalized second moment close to the theoretically attainable limit.
Received: 13.10.2006
Revised: 14.12.2006
English version:
Problems of Information Transmission, 2007, Volume 43, Issue 1, Pages 57–68
DOI: https://doi.org/10.1134/S0032946007010073
Bibliographic databases:
Document Type: Article
UDC: 621.391.15
Language: Russian
Citation: B. D. Kudryashov, K. V. Yurkov, “Random Coding Bound for the Second Moment of Multidimensional Numerical Lattices”, Probl. Peredachi Inf., 43:1 (2007), 67–79; Problems Inform. Transmission, 43:1 (2007), 57–68
Citation in format AMSBIB
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\paper Random Coding Bound for the Second Moment of
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\pages 67--79
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\pages 57--68
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Проблемы передачи информации Problems of Information Transmission
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    References:38
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