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 2007Show all

4 papers · 1 filter

cs.IT2007★ 54 cited

Z4-linear Hadamard and extended perfect codes

Denis Krotov

If $N = 2^{k} > 8$ then there exist exactly $[(k - 1) /2]$ pairwise nonequivalent $Z_{4}$ -linear Hadamard $(N, 2 N, N /2)$ -codes and $[(k + 1) /2]$ pairwise nonequivalent $Z_{4}$ -linear extended per…

cs.IT2007★ 21 cited

Z4-Linear Perfect Codes

Denis Krotov

For every $n = 2^{k} > 8$ there exist exactly $[(k + 1) /2]$ mutually nonequivalent $Z_{4}$ -linear extended perfect codes with distance 4. All these codes have different ranks.

math.CO2007★ 11 cited

The poset metrics that allow binary codes of codimension m to be m-, (m-1)-, or (m-2)-perfect

Hyun Kwang Kim, Denis Krotov

A binary poset code of codimension M (of cardinality 2^{N-M}, where N is the code length) can correct maximum M errors. All possible poset metrics that allow codes of codimension M…

math.CO2007★ 29 cited

n-Ary quasigroups of order 4

Denis Krotov, Vladimir Potapov

We characterize the set of all N-ary quasigroups of order 4: every N-ary quasigroup of order 4 is permutably reducible or semilinear. Permutable reducibility means that an N-ary qu…