D. Krotov

activity

20052024

most citedOn

Z_{p} Z_{p^{k}}

-additive codes and their duality

55 citations · 628 across the 77 of their papers we have counts for

collaborators

Showing 2018 · cs.ITShow all

4 papers · 2 filters

cs.IT2018★ 4 cited

The existence of perfect codes in Doob graphs

Denis S. Krotov

We solve the problem of existence of perfect codes in the Doob graph. It is shown that 1-perfect codes in the Doob graph D(m,n) exist if and only if 6m+3n+1 is a power of 2; that i…

cs.IT2018★ 6 cited

A new approach to the Kasami codes of type 2

Minjia Shi, Denis Krotov, Patrick Solé

The dual of the Kasami code of length $q^{2} - 1$ , with $q$ a power of $2$ , is constructed by concatenating a cyclic MDS code of length $q + 1$ over $F_{q}$ with a Simplex code of length $…

cs.IT2018★ 55 cited

On $Z_{p} Z_{p^{k}}$ -additive codes and their duality

Minjia Shi, Rongsheng Wu, Denis S. Krotov

In this paper, two different Gray-like maps from $Z_{p}^{α} \times Z_{p^{k}}^{β}$ , where $p$ is prime, to $Z_{p}^{n}$ , $n = α + β p^{k - 1}$ , denoted by $ϕ$ and $Φ$ , respectively, are presented. We…

cs.IT2018★ 10 cited

Additive perfect codes in Doob graphs

Minjia Shi, Daitao Huang, Denis S. Krotov

The Doob graph $D (m, n)$ is the Cartesian product of $m > 0$ copies of the Shrikhande graph and $n$ copies of the complete graph of order $4$ . Naturally, $D (m, n)$ can be represented a…

The existence of perfect codes in Doob graphs

A new approach to the Kasami codes of type 2

On Zp​Zpk​-additive codes and their duality

Additive perfect codes in Doob graphs

On $Z_{p} Z_{p^{k}}$ -additive codes and their duality