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Matematicheskie Voprosy Kriptografii [Mathematical Aspects of Cryptography], 2012, Volume 3, Issue 4, Pages 55–70
DOI: https://doi.org/10.4213/mvk67 (Mi mvk67) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Moments of codeword weights in random binary linear codes

A. M. Zubkov, V. I. Kruglov

Steklov Mathematical Institute of RAS, Moscow
Full-text PDF (165 kB) Citations (4)
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DOI: https://doi.org/10.4213/mvk67
Abstract: We consider random uniform binary linear codes. Formulas for the first moments of weight spectrum are obtained along with the explicit estimates for the typical values of the minimal weight of nonzero codewords. Upper bounds for the probability of linear dependence between independent random binary vectors with given weights are obtained also.
Key words: random binary linear codes, weight spectrum moments, minimal nonzero codeword, linear dependence of random vectors.
Received 20.V.2011
Document Type: Article
UDC: 519.212.2
Language: Russian
Citation: A. M. Zubkov, V. I. Kruglov, “Moments of codeword weights in random binary linear codes”, Mat. Vopr. Kriptogr., 3:4 (2012), 55–70
Citation in format AMSBIB
\Bibitem{ZubKru12}
\by A.~M.~Zubkov, V.~I.~Kruglov
\paper Moments of codeword weights in random binary linear codes
\jour Mat. Vopr. Kriptogr.
\yr 2012
\vol 3
\issue 4
\pages 55--70
\mathnet{http://mi.mathnet.ru/mvk67}
\crossref{https://doi.org/10.4213/mvk67}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические вопросы криптографии
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