Natural Science, Mathematics, 2025
ON A LINEARIZED COVERINGS OF A CUBIC HOMOGENEOUSEQUATION OVER A FINITE FIELD. UPPER BOUNDS
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Submitted: 2025-01-30; Published: 2025-01-30
© 2025 by author(s) and The Gufo Inc.
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Abstract
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.