Geodesic
On a linearized coverings of a cubic homogeneous equation over a finite field. Upper bounds
Proceedings of the Yerevan State University. Physical and mathematical sciences, Tome 52 (2018) no. 3, pp. 180-190

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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. 
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     author = {V. P. Gabrielyan},
     title = {On a linearized coverings of a cubic homogeneous equation over a finite field. {Upper} bounds},
     journal = {Proceedings of the Yerevan State University. Physical and mathematical sciences},
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     number = {3},
     year = {2018},
     language = {en},
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V. P. Gabrielyan. On a linearized coverings of a cubic homogeneous equation over a finite field. Upper bounds. Proceedings of the Yerevan State University. Physical and mathematical sciences, Tome 52 (2018) no. 3, pp. 180-190. http://geodesic.mathdoc.fr/item/UZERU_2018_52_3_a4/