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Proceedings of the Yerevan State University, series Physical and Mathematical Sciences, 2019, Volume 53, Issue 2, Pages 119–126 (Mi uzeru575)  
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On a linearized coverings of a cubic homogeneous equation over a finite field. Lower bounds

V. P. Gabrielyan

Yerevan State University
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Abstract: We obtain lower bounds for the complexity of linearized coverings for some sets of special solutions of the equation $x_1 x_2 x_3+ x_2 x_3 x_4+\cdots+ x_{3n} x_1 x_2+x_1 x_3 x_5+x_4 x_6 x_8+\cdots+x_{3n-2} x_{3n}x_2=b$ over an arbitrary finite field.
Keywords: Linear algebra, finite field, coset of linear subspace, linearized covering.
Received: 07.03.2019
Revised: 21.05.2019
Accepted: 10.06.2019
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. Lower bounds”, Proceedings of the YSU, Physical and Mathematical Sciences, 53:2 (2019), 119–126
Citation in format AMSBIB
\Bibitem{Gab19}
\by V.~P.~Gabrielyan
\paper On a linearized coverings of a cubic homogeneous equation over a finite field. Lower bounds
\jour Proceedings of the YSU, Physical and Mathematical Sciences
\yr 2019
\vol 53
\issue 2
\pages 119--126
\mathnet{http://mi.mathnet.ru/uzeru575}
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