Natural Science, Mathematics, 2025
ON LINEARIZED COVERINGS OF A CUBIC HOMOGENEOUS EQUATION OVER A FINITE FIELD. LOWER BOUNDS
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Submitted: 2025-01-30; Published: 2025-01-30
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Abstract
Weobtainlowerboundsforthecomplexityoflinearizedcoveringsforsomesetsofspecialsolutionsoftheequation x1x2x3+x2x3x4+···+x3nx1x2+x1x3x5+x4x6x8+···+x3n−2x3nx2=b
over an arbitrary finite field.