V. Potapov

29 citations · 29 across the 3 of their papers we have counts for

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math.CO2011

On completion of latin hypercuboids of order 4

Vladimir N. Potapov

A latin hypercuboid of order $N$ is an $N \times ... \times N \times k$ array filled with symbols from the set ${0, ..., N - 1}$ in such a way that every symbol occurs at most once in e…

math.CO2011

On the connection between correlation-immune functions and perfect 2-colorings of the Boolean n-cube

Vladimir N. Potapov

A coloring of the Boolean $n$ -cube is called perfect if, for every vertex $x$ , the collection of the colors of the neighbors of $x$ depends only on the color of $x$ . A Boolean func…

math.CO2007★ 29 cited

n-Ary quasigroups of order 4

Denis Krotov, Vladimir Potapov

We characterize the set of all N-ary quasigroups of order 4: every N-ary quasigroup of order 4 is permutably reducible or semilinear. Permutable reducibility means that an N-ary qu…