234 citations
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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.
math.CO2003★ 39 cited
Singularity analysis, Hadamard products, and tree recurrences
James Allen Fill, Philippe Flajolet, Nevin Kapur
We present a toolbox for extracting asymptotic information on the coefficients of combinatorial generating functions. This toolbox notably includes a treatment of the effect of Had…
math.CO2003
Domino tilings and related models: space of configurations of domains with holes
Sebastien Desreux, Martin Matamala, Ivan Rapaport +1
We first prove that the set of domino tilings of a fixed finite figure is a distributive lattice, even in the case when the figure has holes. We then give a geometrical interpretat…