ON A LINEARIZED COVERINGS OF A CUBIC HOMOGENEOUSEQUATION OVER A FINITE FIELD. UPPER BOUNDS

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ON A LINEARIZED COVERINGS OF A CUBIC HOMOGENEOUSEQUATION OVER A FINITE FIELD. UPPER BOUNDS Var Gabrielyan

We obtain upper bounds of the complexity of linearized coverings for somespecial solutions of the equation

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

over an arbitrary finite field.

DOI: 10.46991/PYSU:A/2018.52.3.180 Physical and Mathematical Sciences, 52(3 (247) 180-190

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Keywords

linear algebra, finite field, coset of linear subspace, linearizedcovering

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