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Krotov, Denis S.

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Author ID: krotov.denis-s Recent zbMATH articles by "Krotov, Denis S."
Published as: Krotov, Denis S.; Krotov, D. S.; Krotov, Denis Stanislavovich; Krotov, Denis
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Documents Indexed: 70 Publications since 1996

Publications by Year

Citations contained in zbMATH Open

52 Publications have been cited 222 times in 133 Documents Cited by Year
To the theory of \(q\)-ary Steiner and other-type trades. Zbl 1328.05025
Krotov, D. S.; Mogilnykh, I. Yu.; Potapov, V. N.
18
2016
On weight distributions of perfect colorings and completely regular codes. Zbl 1235.94065
Krotov, Denis S.
14
2011
\(n\)-ary quasigroups of order 4. Zbl 1194.20066
Krotov, Denis S.; Potapov, Vladimir N.
14
2009
\(Z_4\)-linear perfect codes. Zbl 1008.94025
Krotov, D. S.
9
2000
Asymptotics for the number of \(n\)-quasigroups of order 4. Zbl 1150.05307
Potapov, V. N.; Krotov, D. S.
9
2006
On the classification of MDS codes. Zbl 1359.94805
Kokkala, Janne I.; Krotov, Denis S.; Östergård, Patric R. J.
8
2015
Inductive construction of perfect ternary constant-weight codes with distance 3. Zbl 0999.94045
Krotov, D. S.
8
2001
On the structure of non-full-rank perfect \(q\)-ary codes. Zbl 1252.94122
Heden, Olof; Krotov, Denis S.
8
2011
Classification of the \(Z_2Z_4\)-linear Hadamard codes and their automorphism groups. Zbl 1359.94711
Krotov, Denis S.; Villanueva, Mercè
7
2015
On the binary codes with parameters of doubly-shortened 1-perfect codes. Zbl 1201.94131
Krotov, Denis S.
7
2010
On optimal binary one-error-correcting codes of lengths \(2^m-4\) and \(2^m-3\). Zbl 1365.94384
Krotov, Denis S.; Östergård, Patric R. J.; Pottonen, Olli
6
2011
On multifold MDS and perfect codes that are not splittable into onefold codes. Zbl 1083.94022
Krotov, D. S.; Potapov, V. N.
6
2004
On the number of 1-perfect binary codes: a lower bound. Zbl 1328.94084
Krotov, Denis S.; Avgustinovich, Sergey V.
6
2008
Embedding in a perfect code. Zbl 1197.94226
Avgustinovich, Sergey V.; Krotov, Denis S.
6
2009
Lower bounds for the number of \(m\)-quasigroups of order 4 and for the number of perfect binary codes. Zbl 1007.94021
Krotov, D. S.
5
2000
On reconstructing reducible \(n\)-ary quasigroups and switching subquasigroups. Zbl 1156.20067
Krotov, Denis S.; Potapov, Vladimir N.; Sokolova, Polina V.
5
2008
On \(\mathbb Z_p \mathbb Z_{p^k}\)-additive codes and their duality. Zbl 1432.94177
Shi, Minjia; Wu, Rongsheng; Krotov, Denis S.
5
2019
The minimum volume of subspace trades. Zbl 1370.05035
Krotov, Denis S.
5
2017
The extended 1-perfect trades in small hypercubes. Zbl 1386.94109
Krotov, Denis S.
4
2017
Propelinear 1-perfect codes from quadratic functions. Zbl 1360.94416
Krotov, Denis S.; Potapov, Vladimir N.
4
2014
On decomposability of 4-ary distance 2 MDS codes, double-codes, and \(n\)-quasigroups of order 4. Zbl 1151.05012
Krotov, Denis S.
4
2008
On \(\mathbb Z_{2^k}\)-dual binary codes. Zbl 1205.94121
Krotov, D. S.
4
2007
On reducibility of \(n\)-ary quasigroups. Zbl 1190.05039
Krotov, Denis S.
4
2008
On the binary codes with parameters of triply-shortened 1-perfect codes. Zbl 1272.94094
Krotov, Denis S.
4
2012
Perfect codes in Doob graphs. Zbl 1348.94082
Krotov, Denis S.
3
2016
On irreducible \(n\)-ary quasigroups with reducible retracts. Zbl 1141.20046
Krotov, Denis
3
2008
Embedding in \(q\)-ary 1-perfect codes and partitions. Zbl 1372.94474
Krotov, Denis S.; Sotnikova, Ev V.
3
2015
On mobile sets in the binary hypercube. Zbl 1249.94059
Vasil’ev, Yu. L.; Avgustinovich, S. V.; Krotov, D. S.
3
2008
On perfect colorings of the halved 24-cube. Zbl 1249.05122
Krotov, D. S.
3
2008
The number of the non-full-rank Steiner triple systems. Zbl 1427.05041
Shi, Minjia; Xu, Li; Krotov, Denis S.
3
2019
On the number of \(n\)-ary quasigroups of finite order. Zbl 1267.20096
Potapov, V. N.; Krotov, D. S.
3
2011
On connection between reducibility of an \(n\)-ary quasigroup and that of its retracts. Zbl 1205.20067
Krotov, Denis S.; Potapov, Vladimir N.
3
2011
On the number of maximum independent sets in Doob graphs. Zbl 1341.05194
Krotov, Denis Stanislavovich
2
2015
On the gaps of the spectrum of volumes of trades. Zbl 1391.05055
Krotov, Denis S.
2
2018
Classification of MDS codes over small alphabets. Zbl 1398.94218
Kokkala, Janne I.; Krotov, Denis S.; Östergård, Patric R. J.
2
2015
Combining construction of perfect binary codes. Zbl 0987.94043
Krotov, D. S.
2
2000
The poset metrics that allow binary codes of codimension \(m\)-, \((m-1)\)-, or \((m-2)\)-perfect. Zbl 1319.94100
Kim, Hyun Kwang; Krotov, D. S.
2
2008
On diameter perfect constant-weight ternary codes. Zbl 1143.94021
Krotov, D. S.
2
2008
A new distance-regular graph of diameter 3 on 1024 vertices. Zbl 1419.05220
Shi, Minjia; Krotov, Denis S.; Solé, Patrick
2
2019
Completely regular codes in the infinite hexagonal grid. Zbl 1369.05061
Avgustinovich, Sergey Vladimirovich; Krotov, Denis Stanislavovich; Vasil’eva, Anastasia Yurievna
2
2016
On calculation of the interweight distribution of an equitable partition. Zbl 1303.05156
Krotov, Denis S.
1
2014
On the automorphism groups of the \(\mathbb Z_2\mathbb Z_4\)-linear 1-perfect and Preparata-like codes. Zbl 1379.94063
Krotov, Denis S.
1
2017
\(Z_4\)-linear Hadamard and extended perfect codes. Zbl 0987.94513
Krotov, Denis S.
1
2001
Bounds for the size of a minimal 1-perfect bitrade in a Hamming graph. Zbl 1324.05047
Vorob’ev, K. V.; Krotov, D. S.
1
2014
Correction to: “A new distance-regular graph of diameter 3 on 1024 vertices”. Zbl 1419.05221
Shi, Minjia; Krotov, Denis S.; Solé, Patrick
1
2019
On the \(\mathrm{OA}(1536,13,2,7)\) and related orthogonal arrays. Zbl 1437.05035
Krotov, Denis S.
1
2020
Matrices uniquely determined by their lonesums. Zbl 1276.11031
Kim, Hyun Kwang; Krotov, Denis S.; Lee, Joon Yop
1
2013
Additive perfect codes in Doob graphs. Zbl 1409.94927
Shi, Minjia; Huang, Daitao; Krotov, Denis S.
1
2019
MDS codes in Doob graphs. Zbl 1437.94094
Bespalov, E. A.; Krotov, D. S.
1
2017
On the volumes and affine types of trades. Zbl 1431.05022
Ghorbani, Ebrahim; Kamali, Sara; Khosrovshahi, Gholamreza B.; Krotov, Denis
1
2020
On unbalanced Boolean functions with best correlation immunity. Zbl 07183915
Krotov, Denis S.; Vorob’ev, Konstantin V.
1
2020
Steiner triple systems of order 21 with a transversal subdesign \(\mathrm{TD}(3, 6)\). Zbl 1442.05026
Guan, Y.; Shi, M. J.; Krotov, D. S.
1
2020
On the \(\mathrm{OA}(1536,13,2,7)\) and related orthogonal arrays. Zbl 1437.05035
Krotov, Denis S.
1
2020
On the volumes and affine types of trades. Zbl 1431.05022
Ghorbani, Ebrahim; Kamali, Sara; Khosrovshahi, Gholamreza B.; Krotov, Denis
1
2020
On unbalanced Boolean functions with best correlation immunity. Zbl 07183915
Krotov, Denis S.; Vorob’ev, Konstantin V.
1
2020
Steiner triple systems of order 21 with a transversal subdesign \(\mathrm{TD}(3, 6)\). Zbl 1442.05026
Guan, Y.; Shi, M. J.; Krotov, D. S.
1
2020
On \(\mathbb Z_p \mathbb Z_{p^k}\)-additive codes and their duality. Zbl 1432.94177
Shi, Minjia; Wu, Rongsheng; Krotov, Denis S.
5
2019
The number of the non-full-rank Steiner triple systems. Zbl 1427.05041
Shi, Minjia; Xu, Li; Krotov, Denis S.
3
2019
A new distance-regular graph of diameter 3 on 1024 vertices. Zbl 1419.05220
Shi, Minjia; Krotov, Denis S.; Solé, Patrick
2
2019
Correction to: “A new distance-regular graph of diameter 3 on 1024 vertices”. Zbl 1419.05221
Shi, Minjia; Krotov, Denis S.; Solé, Patrick
1
2019
Additive perfect codes in Doob graphs. Zbl 1409.94927
Shi, Minjia; Huang, Daitao; Krotov, Denis S.
1
2019
On the gaps of the spectrum of volumes of trades. Zbl 1391.05055
Krotov, Denis S.
2
2018
The minimum volume of subspace trades. Zbl 1370.05035
Krotov, Denis S.
5
2017
The extended 1-perfect trades in small hypercubes. Zbl 1386.94109
Krotov, Denis S.
4
2017
On the automorphism groups of the \(\mathbb Z_2\mathbb Z_4\)-linear 1-perfect and Preparata-like codes. Zbl 1379.94063
Krotov, Denis S.
1
2017
MDS codes in Doob graphs. Zbl 1437.94094
Bespalov, E. A.; Krotov, D. S.
1
2017
To the theory of \(q\)-ary Steiner and other-type trades. Zbl 1328.05025
Krotov, D. S.; Mogilnykh, I. Yu.; Potapov, V. N.
18
2016
Perfect codes in Doob graphs. Zbl 1348.94082
Krotov, Denis S.
3
2016
Completely regular codes in the infinite hexagonal grid. Zbl 1369.05061
Avgustinovich, Sergey Vladimirovich; Krotov, Denis Stanislavovich; Vasil’eva, Anastasia Yurievna
2
2016
On the classification of MDS codes. Zbl 1359.94805
Kokkala, Janne I.; Krotov, Denis S.; Östergård, Patric R. J.
8
2015
Classification of the \(Z_2Z_4\)-linear Hadamard codes and their automorphism groups. Zbl 1359.94711
Krotov, Denis S.; Villanueva, Mercè
7
2015
Embedding in \(q\)-ary 1-perfect codes and partitions. Zbl 1372.94474
Krotov, Denis S.; Sotnikova, Ev V.
3
2015
On the number of maximum independent sets in Doob graphs. Zbl 1341.05194
Krotov, Denis Stanislavovich
2
2015
Classification of MDS codes over small alphabets. Zbl 1398.94218
Kokkala, Janne I.; Krotov, Denis S.; Östergård, Patric R. J.
2
2015
Propelinear 1-perfect codes from quadratic functions. Zbl 1360.94416
Krotov, Denis S.; Potapov, Vladimir N.
4
2014
On calculation of the interweight distribution of an equitable partition. Zbl 1303.05156
Krotov, Denis S.
1
2014
Bounds for the size of a minimal 1-perfect bitrade in a Hamming graph. Zbl 1324.05047
Vorob’ev, K. V.; Krotov, D. S.
1
2014
Matrices uniquely determined by their lonesums. Zbl 1276.11031
Kim, Hyun Kwang; Krotov, Denis S.; Lee, Joon Yop
1
2013
On the binary codes with parameters of triply-shortened 1-perfect codes. Zbl 1272.94094
Krotov, Denis S.
4
2012
On weight distributions of perfect colorings and completely regular codes. Zbl 1235.94065
Krotov, Denis S.
14
2011
On the structure of non-full-rank perfect \(q\)-ary codes. Zbl 1252.94122
Heden, Olof; Krotov, Denis S.
8
2011
On optimal binary one-error-correcting codes of lengths \(2^m-4\) and \(2^m-3\). Zbl 1365.94384
Krotov, Denis S.; Östergård, Patric R. J.; Pottonen, Olli
6
2011
On the number of \(n\)-ary quasigroups of finite order. Zbl 1267.20096
Potapov, V. N.; Krotov, D. S.
3
2011
On connection between reducibility of an \(n\)-ary quasigroup and that of its retracts. Zbl 1205.20067
Krotov, Denis S.; Potapov, Vladimir N.
3
2011
On the binary codes with parameters of doubly-shortened 1-perfect codes. Zbl 1201.94131
Krotov, Denis S.
7
2010
\(n\)-ary quasigroups of order 4. Zbl 1194.20066
Krotov, Denis S.; Potapov, Vladimir N.
14
2009
Embedding in a perfect code. Zbl 1197.94226
Avgustinovich, Sergey V.; Krotov, Denis S.
6
2009
On the number of 1-perfect binary codes: a lower bound. Zbl 1328.94084
Krotov, Denis S.; Avgustinovich, Sergey V.
6
2008
On reconstructing reducible \(n\)-ary quasigroups and switching subquasigroups. Zbl 1156.20067
Krotov, Denis S.; Potapov, Vladimir N.; Sokolova, Polina V.
5
2008
On decomposability of 4-ary distance 2 MDS codes, double-codes, and \(n\)-quasigroups of order 4. Zbl 1151.05012
Krotov, Denis S.
4
2008
On reducibility of \(n\)-ary quasigroups. Zbl 1190.05039
Krotov, Denis S.
4
2008
On irreducible \(n\)-ary quasigroups with reducible retracts. Zbl 1141.20046
Krotov, Denis
3
2008
On mobile sets in the binary hypercube. Zbl 1249.94059
Vasil’ev, Yu. L.; Avgustinovich, S. V.; Krotov, D. S.
3
2008
On perfect colorings of the halved 24-cube. Zbl 1249.05122
Krotov, D. S.
3
2008
The poset metrics that allow binary codes of codimension \(m\)-, \((m-1)\)-, or \((m-2)\)-perfect. Zbl 1319.94100
Kim, Hyun Kwang; Krotov, D. S.
2
2008
On diameter perfect constant-weight ternary codes. Zbl 1143.94021
Krotov, D. S.
2
2008
On \(\mathbb Z_{2^k}\)-dual binary codes. Zbl 1205.94121
Krotov, D. S.
4
2007
Asymptotics for the number of \(n\)-quasigroups of order 4. Zbl 1150.05307
Potapov, V. N.; Krotov, D. S.
9
2006
On multifold MDS and perfect codes that are not splittable into onefold codes. Zbl 1083.94022
Krotov, D. S.; Potapov, V. N.
6
2004
Inductive construction of perfect ternary constant-weight codes with distance 3. Zbl 0999.94045
Krotov, D. S.
8
2001
\(Z_4\)-linear Hadamard and extended perfect codes. Zbl 0987.94513
Krotov, Denis S.
1
2001
\(Z_4\)-linear perfect codes. Zbl 1008.94025
Krotov, D. S.
9
2000
Lower bounds for the number of \(m\)-quasigroups of order 4 and for the number of perfect binary codes. Zbl 1007.94021
Krotov, D. S.
5
2000
Combining construction of perfect binary codes. Zbl 0987.94043
Krotov, D. S.
2
2000
all top 5

Cited by 123 Authors

29 Krotov, Denis S.
11 Potapov, Vladimir Nikolaevich
9 Mogilnykh, Ivan Yurevich
9 Valyuzhenich, Aleksandr Andreevich
8 Solov’eva, Faina Ivanovna
7 Östergård, Patric R. J.
6 Shi, Minjia
5 Fernández-Córdoba, Cristina
5 Heden, Olof
5 Villanueva, Mercè
5 Vorob’ev, Konstantin Vasil’evich
4 Taranenko, Anna A.
4 Vela, Carlos
4 Zinov’ev, Viktor Aleksandrovich
3 Bespalov, Evgeniĭ Andreevich
3 Hyun, Jong-Yoon
3 Kabanov, Vladislav Vladimirovich
3 Kokkala, Janne I.
3 Romanov, Alexander Mikhailovich
3 Shalaginov, Leonid V.
3 Solé, Patrick
3 Yao, Ting
3 Zhu, Shixin
3 Zinov’ev, Dmitriĭ Viktorovich
2 Alaeiyan, Mehdi
2 Avgustinovich, Sergeĭ Vladimirovich
2 Borges, Joaquim
2 Ge, Gennian
2 Goryainov, Sergey V.
2 Huang, Daitao
2 Kiermaier, Michael
2 Konstantinova, Elena V.
2 Laue, Reinhard
2 Lebed, Khawla
2 Luo, Jinquan
2 Pottonen, Olli
2 Sotnikova, Evgeniya Vadimovna
2 Tokareva, Natalia Nikolaevna
2 Westerbäck, Thomas
2 Xu, Li
1 Abedi, Amirabbas
1 Acin, Antonio
1 Alaeiyan, Mohammadhadi
1 Alahmadi, Adel N.
1 Alves, Marcelo Muniz Silva
1 Barrolleta, Roland D.
1 Bényi, Beáta
1 Bernshteyn, Anton
1 Bhaintwal, Maheshanand
1 Biswas, Soumak
1 Braun, Michael
1 Bykov, I. S.
1 Choi, Soohak
1 Damasco, Joseph Ray Clarence G.
1 Dass, Bal Kishan
1 Ding, Cunsheng
1 Dolgov, Dmitriĭ Aleksandrovich
1 Dyshko, Serhii
1 Fang, Xiaolei
1 Firer, Marcelo
1 Frettlöh, Dirk
1 Ghorbani, Ebrahim
1 Gluesing-Luerssen, Heide
1 Gogolin, Christian
1 Gross, Renan
1 Grupel, Uri
1 Hajnal, Péter
1 Harney, Isaiah
1 Hessler, Martin
1 Iqbal, Quaid
1 Kai, Xiaoshan
1 Kamali, Sara
1 Karami, Hamed
1 Khosrovshahi, Gholamreza B.
1 Kim, Hyunkwang
1 Kochol, Martin
1 Kohnert, Axel
1 Koolen, Jack H.
1 Kostochka, Aleksandr Vasil’evich
1 Kovachev, Dimiter Stoichkov
1 Leont’ev, V. K.
1 Li, Shiqu
1 Li, Xia
1 Lisitsyna, Mariya Aleksandrovna
1 Ma, Xuanlong
1 Makhlouf, Sassia
1 Makhnëv, Aleksandr Alekseevich
1 Malyugin, Sergey Artem’evich
1 Margaryan, Zhiraĭr Gegamovich
1 Movsisyan, Gh. L.
1 Niu, Yongfeng
1 Noui, Lemnouar
1 Öke, Figen
1 Özkan, Mustafa
1 Paduchikh, Dmitriĭ Viktorovich
1 Panek, Luciano
1 Pang, Binbin
1 Park, Jongyook
1 Parshina, Olga Gennad’evna
1 Pinheiro, Jerry Anderson
...and 23 more Authors

Citations by Year