ON LINEARIZED COVERINGS OF A CUBIC HOMOGENEOUS EQUATION OVER A FINITE FIELD. LOWER BOUNDS

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ON LINEARIZED COVERINGS OF A CUBIC HOMOGENEOUS EQUATION OVER A FINITE FIELD. LOWER BOUNDS Var Gabrielyan

Weobtainlowerboundsforthecomplexityoflinearizedcoveringsforsomesetsofspecialsolutionsoftheequation x1x2x3+x2x3x4+···+x3nx1x2+x1x3x5+x4x6x8+···+x3n−2x3nx2=b

over an arbitrary finite field.

DOI: 10.46991/PYSU:A/2019.53.2.119 Physical and Mathematical Sciences, 53(2 (249) 119-126

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Keywords

linear algebra, finite field, coset of linear subspace, linearized covering

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