Geodesic
On a linearized coverings of a cubic homogeneous equation over a finite field. Lower bounds
Proceedings of the Yerevan State University. Physical and mathematical sciences, Tome 53 (2019) no. 2, pp. 119-126

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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. 
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     author = {V. P. Gabrielyan},
     title = {On a linearized coverings of a cubic homogeneous equation over a finite field. {Lower} bounds},
     journal = {Proceedings of the Yerevan State University. Physical and mathematical sciences},
     pages = {119--126},
     publisher = {mathdoc},
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     number = {2},
     year = {2019},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/UZERU_2019_53_2_a5/}
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V. P. Gabrielyan. On a linearized coverings of a cubic homogeneous equation over a finite field. Lower bounds. Proceedings of the Yerevan State University. Physical and mathematical sciences, Tome 53 (2019) no. 2, pp. 119-126. http://geodesic.mathdoc.fr/item/UZERU_2019_53_2_a5/