13 papers · 1 filter
Multidimensional convolution matrices and perfect colorings of subspace hypergraphs applied for bent functions and related designs
Vladimir N. Potapov, Anna A. Taranenko
The main aim of the present paper is to introduce new methods for the study of combinatorial designs related to bent functions. They are based on interpretations of convolution on…
Multidimensional quadrangle condition and cuboctahedra in latin hypercubes
Anna A. Taranenko
The well-known quadrangle criterion states that a latin square is isotopic to the Cayley table of a group if and only if all quadrangles spanned by the same triple of symbols coinc…
Enumeration and constructions of vertices of the polytope of polystochastic matrices
Anna A. Taranenko
A multidimensional nonnegative matrix is called polystochastic if the sum of entries in each of its lines equals . The set of all polystochastic matrices of order and dimens…
Characterization of polystochastic matrices of order with zero permanent
A. L. Perezhogin, V. N. Potapov, A. A. Taranenko +1
A multidimensional nonnegative matrix is called polystochastic if the sum of its entries over each line is equal to . The permanent of a multidimensional matrix is the sum of pr…
Asymptotic bounds on the numbers of vertices of polytopes of polystochastic matrices
Vladimir N. Potapov, Anna A. Taranenko
A multidimensional nonnegative matrix is called polystochastic if the sum of entries in each line is equal to . The set of all polystochastic matrices of order and dimension…
Vertices of the polytope of polystochastic matrices and product constructions
Anna A. Taranenko
A multidimensional nonnegative matrix is called polystochastic if the sum of its entries at each line is equal to . The set of all polystochastic matrices of order and dimen…