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Prikladnaya Diskretnaya Matematika. Supplement, 2019, Issue 12, Pages 235–237
DOI: https://doi.org/10.17223/2226308X/12/64 (Mi pdma479) 		 
Computational methods in discrete mathematics

Solving undetermined systems of linear Boolean equations with corrupted right-hand side and low-weight true solution

N. Yu. Rumenko, A. V. Kostyuk

Moscow Technical University of Communications and Informatics
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DOI: https://doi.org/10.17223/2226308X/12/64
Abstract: Undetermined systems of random linear Boolean equations with corrupted right-hand side and with a true solution of little Hamming weight are studied. Experimentally, we show that, for small bit-error rates, these systems can be efficiently solved by decoding algorithms with regard to information symbols.
Keywords: random systems of linear Boolean equations, information-set decoding.
Bibliographic databases:
Document Type: Article
UDC: 519.6
Language: Russian
Citation: N. Yu. Rumenko, A. V. Kostyuk, “Solving undetermined systems of linear Boolean equations with corrupted right-hand side and low-weight true solution”, Prikl. Diskr. Mat. Suppl., 2019, no. 12, 235–237
Citation in format AMSBIB
\Bibitem{RumKos19}
\by N.~Yu.~Rumenko, A.~V.~Kostyuk
\paper Solving undetermined systems of linear Boolean equations with corrupted right-hand side and low-weight true solution
\jour Prikl. Diskr. Mat. Suppl.
\yr 2019
\issue 12
\pages 235--237
\mathnet{http://mi.mathnet.ru/pdma479}
\crossref{https://doi.org/10.17223/2226308X/12/64}
\elib{https://elibrary.ru/item.asp?id=41153946}
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