Site logo

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

This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

CC BY-NC 4.0 This work is licensed under Creative Commons Attribution–NonCommercial International License (CC BY-NC 4.0).

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.

Subscribe to TheGufo Newsletter​