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Matematicheskie Voprosy Kriptografii [Mathematical Aspects of Cryptography], 2012, Volume 3, Issue 1, Pages 5–51
DOI: https://doi.org/10.4213/mvk47 (Mi mvk47) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Solving systems of linear equations arising in the computation of logarithms in a finite prime field

A. Ya. Dorofeev

SUE RDI "Kvant", Moscow
Full-text PDF (467 kB) Citations (5)
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DOI: https://doi.org/10.4213/mvk47
Abstract: Empirical investigations of the computational complexity of algorithms for solving sparse linear systems was conducted for systems appeared in the computation of discrete logarithms in finite prime fields $GF(p)$, $p<10^{135}$.
Key words: discrete logarithms, number field sieve, sparse linear systems, structured Gaussian elimination, Lanczos algorithm, parallel computations.
Received 05.V.2010
Document Type: Article
UDC: 511.53+519.712.45
Language: Russian
Citation: A. Ya. Dorofeev, “Solving systems of linear equations arising in the computation of logarithms in a finite prime field”, Mat. Vopr. Kriptogr., 3:1 (2012), 5–51
Citation in format AMSBIB
\Bibitem{Dor12}
\by A.~Ya.~Dorofeev
\paper Solving systems of linear equations arising in the computation of logarithms in a~finite prime field
\jour Mat. Vopr. Kriptogr.
\yr 2012
\vol 3
\issue 1
\pages 5--51
\mathnet{http://mi.mathnet.ru/mvk47}
\crossref{https://doi.org/10.4213/mvk47}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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