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Proceedings of the Yerevan State University, series Physical and Mathematical Sciences, 2018, Volume 52, Issue 3, Pages 180–190 (Mi uzeru488)  
This article is cited in 1 scientific paper (total in 1 paper)

Communications
Informatics

On a linearized coverings of a cubic homogeneous equation over a finite field. Upper bounds

V. P. Gabrielyan

Yerevan State University, Faculty of Informatics and Applied Mathematics
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Abstract: We obtain upper bounds of the complexity of linearized coverings for some special solutions of the equation $x_1x_2x_3+x_2x_3x_4+$...$+x_{3n}x_1x_2+x_1x_3x_5+x_4x_6x_8+$... $+x_{3n-2}x_{3n}x_ 2 = b$ over an arbitrary finite field.
Keywords: linear algebra, finite field, coset of linear subspace, linearized covering.
Received: 23.10.2018
Accepted: 26.11.2018
Document Type: Article
MSC: Primary 97H60; Secondary 14N20, 51E21
Language: English
Citation: V. P. Gabrielyan, “On a linearized coverings of a cubic homogeneous equation over a finite field. Upper bounds”, Proceedings of the YSU, Physical and Mathematical Sciences, 52:3 (2018), 180–190
Citation in format AMSBIB
\Bibitem{Gab18}
\by V.~P.~Gabrielyan
\paper On a linearized coverings of a cubic homogeneous equation over a finite field. Upper bounds
\jour Proceedings of the YSU, Physical and Mathematical Sciences
\yr 2018
\vol 52
\issue 3
\pages 180--190
\mathnet{http://mi.mathnet.ru/uzeru488}
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