3 papers
math.CO2026
On the reconstruction of -quasigroups of order and upper bounds on their number
Denis S. Krotov, Vladimir N. Potapov
(This is a reprint of the thesis published in the Transactions of the Conference Devoted to the 90th Anniversary Of Alexei A. Lyapunov, Novosibirsk, October 8-12, 2001, pages 323-3…
math.CO2024
Generalizing the Bierbrauer-Friedman bound for orthogonal arrays
Denis S. Krotov, Ferruh Özbudak, Vladimir N. Potapov
We characterize mixed-level orthogonal arrays in terms of algebraic designs in a special multigraph. We prove a mixed-level analog of the Bierbrauer-Friedman (BF) bound for pure-le…
math.CO2018
On the cardinality spectrum and the number of latin bitrades of order 3
Denis S. Krotov, Vladimir N. Potapov
By a (latin) unitrade, we call a set of vertices of the Hamming graph that is intersects with every maximal clique in or vertices. A bitrade is a bipartite unitrade, that i…