29 citations · 139 across the 27 of their papers we have counts for
6 papers · 1 filter
On q-ary Bent and Plateaued Functions
Vladimir N. Potapov
We obtain the following results. For any prime the minimal Hamming distance between distinct regular -ary bent functions of variables is equal to . The number of $…
Constructions of Pairs of Orthogonal Latin Cubes
Vladimir N. Potapov
A pair of orthogonal latin cubes of order is equivalent to an MDS code with distance or to an orthogonal array. We construct pairs of orthogonal latin c…
A Lower Bound on the Number of Boolean Functions with Median Correlation Immunity
Vladimir N. Potapov
The number of -ary balanced correlation immune (resilient) Boolean functions of order is not less than as . Keywords:…
DP-colorings of uniform hypergraphs and splittings of Boolean hypercube into faces
Vladimir N. Potapov
We develop a connection between DP-colorings of -uniform hypergraphs of order and coverings of -dimensional Boolean hypercube by pairs of antipodal -dimensional fa…
On the number of autotopies of an -ary qusigroup of order
Denis S. Krotov, Evgeny V. Gorkunov, Vladimir N. Potapov
An algebraic system from a finite set of cardinality and an -ary operation invertible in each argument is called an -ary quasigroup of order . An autotopy of a…
On multifold packings of radius-1 balls in Hamming graphs
Denis S. Krotov, Vladimir N. Potapov
A -fold -packing (multiple radius- covering) in a Hamming metric space is a code such that the radius- balls centered in cover each vertex of the space by not m…