V. Potapov

activity

20072024

q

-ary Steiner and other-type trades

29 citations · 139 across the 27 of their papers we have counts for

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Showing 2019 · math.COShow all

3 papers · 2 filters

math.CO2019★ 9 cited

Constructions of Pairs of Orthogonal Latin Cubes

Vladimir N. Potapov

A pair of orthogonal latin cubes of order $q$ is equivalent to an MDS code with distance $3$ or to an $OA_{1} (3, 5, q)$ orthogonal array. We construct pairs of orthogonal latin c…

math.CO2019★ 2 cited

DP-colorings of uniform hypergraphs and splittings of Boolean hypercube into faces

Vladimir N. Potapov

We develop a connection between DP-colorings of $k$ -uniform hypergraphs of order $n$ and coverings of $n$ -dimensional Boolean hypercube by pairs of antipodal $(n - k)$ -dimensional fa…

math.CO2019

On the number of autotopies of an $n$ -ary qusigroup of order $4$

Denis S. Krotov, Evgeny V. Gorkunov, Vladimir N. Potapov

An algebraic system from a finite set $Σ$ of cardinality $k$ and an $n$ -ary operation $f$ invertible in each argument is called an $n$ -ary quasigroup of order $k$ . An autotopy of a…

Constructions of Pairs of Orthogonal Latin Cubes

DP-colorings of uniform hypergraphs and splittings of Boolean hypercube into faces

On the number of autotopies of an n-ary qusigroup of order 4

On the number of autotopies of an $n$ -ary qusigroup of order $4$