Denis S. Krotov

activity

20092026

most citedOn the number of n-ary quasigroups of finite order

9 citations · 10 across the 8 of their papers we have counts for

collaborators

Showing 2023Show all

2 papers · 1 filter

math.CO2023

On the existence of some completely regular codes in Hamming graphs

Denis S. Krotov

We solve several first questions in the table of small parameters of completely regular (CR) codes in Hamming graphs $H (n, q)$ . The most uplifting result is the existence of a $\{13…

math.CO2023

On degree- $3$ and $(n - 4)$ -correlation-immune perfect colorings of $n$ -cubes

Denis S. Krotov, Alexandr A. Valyuzhenich

A perfect $k$ -coloring of the Boolean hypercube $Q_{n}$ is a function from the set of binary words of length $n$ onto a $k$ -set of colors such that for any colors $i$ and $j$ every w…

On the existence of some completely regular codes in Hamming graphs

On degree-3 and (n−4)-correlation-immune perfect colorings of n-cubes

On degree- $3$ and $(n - 4)$ -correlation-immune perfect colorings of $n$ -cubes