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math.CO2021★ 10 cited
An asymptotic lower bound on the number of bent functions
V. N. Potapov, A. A. Taranenko, Yu. V. Tarannikov
A Boolean function on variables is said to be a bent function if the absolute value of all its Walsh coefficients is . Our main result is a new asymptotic lower bo…
math.CO2021
On a metric property of perfect colorings
Anna A. Taranenko
Given a perfect coloring of a graph, we prove that the distance between two rows of the adjacency matrix of the graph is not less than the distance between the correspo…