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math.CO2024
On a classification of planar functions in characteristic three
Samuele Andreoli, Lilya Budaghyan, Robert Coulter +3
Planar functions are functions over a finite field that have optimal combinatorial properties and they have applications in several branches of mathematics, including algebra, proj…
math.CO2005★ 1 cited
New Classes of Almost Bent and Almost Perfect Nonlinear Polynomials
Lilya Budaghyan, Claude Carlet, Alexander Pott
We construct infinite classes of almost bent and almost perfect nonlinear polynomials, which are affinely inequivalent to any sum of a power function and an affine function.