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, 2018, Volume 52, Issue 3,Pages <nobr>180

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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

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.

MSC: Primary 97H60; Secondary 14N20, 51E21

Received: 23.10.2018
Accepted: 26.11.2018

Language: English