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Moscow Mathematical Journal, 2009, Volume 9, Number 2, Pages 211–243
DOI: https://doi.org/10.17323/1609-4514-2009-9-2-211-243 (Mi mmj343) 		 
This article is cited in 23 scientific papers (total in 23 papers)

Bounds on ordered codes and orthogonal arrays

Alexander Bargab, Punabrasu Purkayasthab

a Institute for Problems of Information Transmission, Russian Academy of Sciences, Moscow, Russia
b Dept. of Electrical and Computer Engineering, University of Maryland, College Park, MD, USA
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DOI: https://doi.org/10.17323/1609-4514-2009-9-2-211-243
Abstract: We derive new estimates of the size of codes and orthogonal arrays in the ordered Hamming space (the Niederreiter–Rosenbloom–Tsfasman space). We also show that the eigenvalues of the ordered Hamming scheme, the association scheme that describes the combinatorics of the space, are given by the multivariate Krawtchouk polynomials, and establish some of their properties.
Key words and phrases: ordered Hamming space, association schemes, multivariate Krawtchouk polynomials, Delsarte method, asymptotic bounds.
Received: February 5, 2007
Bibliographic databases:
MSC: Primary 05E30; Secondary 94B65
Language: English
Citation: Alexander Barg, Punabrasu Purkayastha, “Bounds on ordered codes and orthogonal arrays”, Mosc. Math. J., 9:2 (2009), 211–243
Citation in format AMSBIB
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\by Alexander~Barg, Punabrasu~Purkayastha
\paper Bounds on ordered codes and orthogonal arrays
\jour Mosc. Math.~J.
\yr 2009
\vol 9
\issue 2
\pages 211--243
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2568437}
\zmath{https://zbmath.org/?q=an:05642256}
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    • This publication is cited in the following 23 articles:
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