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Krotov Denis Stanislavovich

Employee

Science activity

Articles - 89 , Conference theses - 3 , Conference attendances - 13


Articles (89) More info

1 Koolen J.H. , Krotov D.S. , Martin W.J.
Completely regular codes: tables of small parameters for binary and ternary Hamming graphs
Monography chapter Completely Regular Codes in Distance-Regular Graphs. – Chapman & Hall., 2025. – C.1-52. – ISBN 9781032494449.
2 Bespalov E. , Krotov D.S.
On extended 1-perfect bitrades
Discrete Mathematics. 2025. V.348. N1. 114222 :1-12. DOI: 10.1016/j.disc.2024.114222 WOS Scopus РИНЦ OpenAlex
3 Krotov D.S. , Potapov V.N.
Completely regular codes and equitable partitions
Monography chapter Completely Regular Codes in Distance-Regular Graphs. – Chapman & Hall., 2025. – C.5-87. – ISBN 9781032494449.
4 Bespalov E.A. , Krotov D.S.
Some completely regular codes in Doob graphs
Monography chapter Completely Regular Codes in Distance-Regular Graphs. – Chapman & Hall., 2025. – C.1-73. – ISBN 9781032494449.
5 Krotov D.S. , Mogilnykh I.Y.
Multispreads
Finite Fields and their Applications. 2025. V.108. 102675 :1-25. DOI: 10.1016/j.ffa.2025.102675 Scopus
6 Krotov D.S.
The classification of orthogonal arrays OA(2048,14,2,7) and some completely regular codes
Discrete Mathematics. 2024. V.347. N5. 113923 :1-8. DOI: 10.1016/j.disc.2024.113923 WOS Scopus РИНЦ OpenAlex
7 Krotov D.S. , Potapov V.N.
An upper bound on the number of frequency hypercubes
Discrete Mathematics. 2024. V.347. N1. 113657 :1-9. DOI: 10.1016/j.disc.2023.113657 WOS Scopus РИНЦ OpenAlex
8 Shi M. , Krotov D.S. , Özbudak F.
Constructing MRD codes by switching
Journal of Combinatorial Designs. 2024. V.32. N5. P.219-237. DOI: 10.1002/jcd.21931 WOS Scopus РИНЦ OpenAlex
9 Krotov D.S.
Equitable [[2, 10], [6, 6]]-partitions of the 12-cube
Cryptography and Communications. 2024. V.16. P.975–996. DOI: 10.1007/s12095-024-00716-z WOS Scopus РИНЦ OpenAlex
10 Krotov D.S.
Multifold 1‐perfect codes
Journal of Combinatorial Designs. 2024. V.32. N9. P.546-555. DOI: 10.1002/jcd.21947 WOS Scopus РИНЦ OpenAlex
11 Krotov D.S. , Valyuzhenich A.A.
On degree-3 and (n − 4)-correlation-immune perfect colorings of n-cubes
Discrete Mathematics. 2024. V.347. N10. 114138 :1-14. DOI: 10.1016/j.disc.2024.114138 WOS Scopus РИНЦ OpenAlex
12 Krotov D.S.
On the existence of some completely regular codes in Hamming graphs
In compilation 2024 IEEE International Symposium on Information Theory (ISIT). – IEEE., 2024. – C.121-126. – ISBN 979-8-3503-8284-6. DOI: 10.1109/ISIT57864.2024.10619341 WOS Scopus OpenAlex
13 Shi M. , Krotov D.S.
An enumeration of 1-perfect ternary codes
Discrete Mathematics. 2023. V.346. N7. 113437 :1-16. DOI: 10.1016/j.disc.2023.113437 WOS Scopus РИНЦ OpenAlex
14 Shi M. , Li Y. , Cheng W. , Crnković D. , Krotov D. , Solé P.
Self-dual bent sequences for complex Hadamard matrices
Designs, Codes and Cryptography. 2023. V.91. N4. P.1453-1474. DOI: 10.1007/s10623-022-01157-6 WOS Scopus РИНЦ OpenAlex
15 Shi M. , Li Y. , Cheng W. , Crnković D. , Krotov D. , Solé P.
Self-dual Hadamard bent sequences
Journal of Systems Science and Complexity. 2023. V.36. N2. P.894-908. DOI: 10.1007/s11424-023-2276-8 WOS Scopus РИНЦ OpenAlex
16 Krotov D.S.
Perfect colorings of the infinite square grid: coverings and twin colors
Electronic Journal of Combinatorics. 2023. V.30. N2. P2.4 :1-59. DOI: 10.37236/10005 WOS Scopus РИНЦ OpenAlex
17 Shi M. , Li X. , Krotov D.S. , Özbudak F.
Quasi-cyclic perfect codes in Doob graphs and special partitions of Galois rings
IEEE Transactions on Information Theory. 2023. V.69. N9. 3272566 :1-7. DOI: 10.1109/TIT.2023.3272566 WOS Scopus РИНЦ OpenAlex
18 Krotov D.S.
Projective tilings and full-rank perfect codes
Designs, Codes and Cryptography. 2023. V.91. N10. P.3293–3303. DOI: 10.1007/s10623-023-01256-y WOS Scopus OpenAlex
19 Shi M. , Xia Y. , Krotov D.S.
A family of diameter perfect constant-weight codes from Steiner systems
Journal of Combinatorial Theory. Series A. 2023. V.200. 105790 :1-20. DOI: 10.1016/j.jcta.2023.105790 WOS Scopus РИНЦ OpenAlex
20 Krotov D.S.
Completely Regular Codes as Optimal Structures
In compilation 2023 XVIII International Symposium on Problems of Redundancy in Information and Control Systems (REDUNDANCY). 2023. – C.82 - 87. DOI: 10.1109/Redundancy59964.2023.10330185 Scopus OpenAlex
21 Krotov D.S. , Vasil'eva A.
On Strong Distance Invariance of Some Steiner Quadruple Systems
In compilation 2023 XVIII International Symposium on Problems of Redundancy in Information and Control Systems (REDUNDANCY). 2023. – C.159 - 162. DOI: 10.1109/Redundancy59964.2023.10330167 Scopus OpenAlex
22 Shi M.J. , Krotov D.S. , Solé P.
On the coset graph construction of distance-regular graphs
Discrete Mathematics. 2022. V.345. N11. 113037 :1-6. DOI: 10.1016/j.disc.2022.113037 WOS Scopus РИНЦ OpenAlex
23 Shi M. , Wu R. , Krotov D.S.
On q-ary shortened-1-perfect-like codes
IEEE Transactions on Information Theory. 2022. V.68. DOI: 10.1109/TIT.2022.3187004 WOS Scopus РИНЦ OpenAlex
24 Krotov D.S. , Potapov V.N.
On multifold packings of radius-1 balls in Hamming graphs
IEEE Transactions on Information Theory. 2021. V.67. N6. P.3585-3598. DOI: 10.1109/TIT.2020.3046260 WOS Scopus РИНЦ OpenAlex
25 Bespalov E.A. , Krotov D.S. , Matiushev A.A. , Taranenko A.A. , Vorob'ev K.V.
Perfect 2‐colorings of Hamming graphs
Journal of Combinatorial Designs. 2021. V.29. N6. P.367-396. DOI: 10.1002/jcd.21771 WOS Scopus РИНЦ OpenAlex
26 Shi M.J. , Wang S.K. , Li X.X. , Krotov D.S.
On the number of frequency hypercubes $F^n(4;2,2)$
Siberian Mathematical Journal. 2021. V.62. N5. P.951-962. DOI: 10.1134/S0037446621050165 WOS Scopus РИНЦ OpenAlex
27 Krotov D.S. , Vorob'ev K.V.
On unbalanced Boolean functions with best correlation immunity
Electronic Journal of Combinatorics. 2020. V.27. N1. P1.45 :1-24. DOI: 10.37236/8557 WOS Scopus РИНЦ OpenAlex
28 Krotov D.S.
The existence of perfect codes in Doob graphs
IEEE Transactions on Information Theory. 2020. V.66. N3. P.1423-1427. DOI: 10.1109/tit.2019.2946612 WOS Scopus РИНЦ OpenAlex
29 Krotov D.S.
On the OA(1536,13,2,7) and related orthogonal arrays
Discrete Mathematics. 2020. V.343. N2. 111659 :1-11. DOI: 10.1016/j.disc.2019.111659 WOS Scopus РИНЦ OpenAlex
30 Shi M. , Krotov D.S. , Solé P.
A new approach to the Kasami codes of type 2
IEEE Transactions on Information Theory. 2020. V.66. N4. P.2456-2465. DOI: 10.1109/tit.2019.2949609 WOS Scopus РИНЦ OpenAlex
31 Guan Y. , Shi M.J. , Krotov D.S.
Steiner Triple Systems of Order 21 with a Transversal Subdesign TD(3,6)
Problems of Information Transmission. 2020. V.56. N1. P.23-32. DOI: 10.1134/s0032946020010032 WOS Scopus РИНЦ OpenAlex
32 Shi M. , Xu L. , Krotov D.S.
On the number of resolvable Steiner triple systems of small 3-rank
Designs, Codes and Cryptography. 2020. V.88. N6. P.1037-1046. DOI: 10.1007/s10623-020-00725-y WOS Scopus РИНЦ OpenAlex
33 Ghorbani E. , Kamali S. , Khosrovshahi G.B. , Krotov D.
On the volumes and affine types of trades
Electronic Journal of Combinatorics. 2020. V.27. N1. P1.29 :1-28. DOI: 10.37236/8367 WOS Scopus РИНЦ OpenAlex
34 Gorkunov E.V. , Krotov D.S. , Potapov V.N.
On the number of autotopies of an n-ary qusigroup of order 4
Quasigroups and Related Systems. 2019. V.27. N2. P.227-250. Scopus РИНЦ
35 Krotov D.S.
On dual codes in the Doob schemes
IEEE International Symposium on Information Theory - Proceedings. 2019. V.2019. P.1917-1921. DOI: 10.1109/isit.2019.8849850 WOS Scopus РИНЦ OpenAlex
36 Shi M. , Xu L. , Krotov D.S.
The number of the non‐full‐rank Steiner triple systems
Journal of Combinatorial Designs. 2019. V.27. N10. P.571-585. DOI: 10.1002/jcd.21663 WOS Scopus РИНЦ OpenAlex
37 Shi M. , Huang D. , Krotov D.S.
Additive perfect codes in Doob graphs
Designs, Codes and Cryptography. 2019. V.87. N8. P.1857-1869. DOI: 10.1007/s10623-018-0586-y WOS Scopus РИНЦ OpenAlex
38 Shi M. , Wu R. , Krotov D.S.
On $Z_p Z_{p^k}$ -Additive Codes and Their Duality
IEEE Transactions on Information Theory. 2019. V.65. N6. P.3841-3847. DOI: 10.1109/tit.2018.2883759 WOS Scopus РИНЦ OpenAlex
39 Shi M. , Krotov D.S. , Solé P.
A new distance-regular graph of diameter 3 on 1024 vertices
Designs, Codes and Cryptography. 2019. V.87. N9. P.2091-2101. DOI: 10.1007/s10623-019-00609-w WOS Scopus РИНЦ OpenAlex
40 Krotov D.S.
On (2n/3-1)-Resilient (n,2)-Functions
IEEE International Symposium on Information Theory - Proceedings. 2019. V.2019. P.2957-2961. DOI: 10.1109/isit.2019.8849584 WOS Scopus РИНЦ OpenAlex
41 Krotov D.S. , Potapov V.N.
On two-fold packings of radius-1 balls in Hamming graphs
IEEE International Symposium on Information Theory - Proceedings. 2019. V.2019. P.2773-2777. DOI: 10.1109/ISIT.2019.8849832 WOS Scopus РИНЦ OpenAlex
42 Krotov D.S. , Potapov V.N.
On the Cardinality Spectrum and the Number of Latin Bitrades of Order 3
Problems of Information Transmission. 2019. V.55. N4. P.343-365. DOI: 10.1134/s0032946019040021 WOS Scopus РИНЦ OpenAlex
43 Krotov D.S. , Bespalov E.A.
Distance-2 MDS codes and latin colorings in the Doob graphs
Graphs and Combinatorics. 2018. V.34. N5. P.1001-1017. DOI: 10.1007/s00373-018-1926-4 WOS Scopus РИНЦ OpenAlex
44 Krotov D.S.
On the gaps of the spectrum of volumes of trades
Journal of Combinatorial Designs. 2018. V.26. N3. P.119-126. DOI: 10.1002/jcd.21592 WOS Scopus РИНЦ OpenAlex
45 Krotov D.S.
On the automorphism groups of the Z2Z4-linear 1-perfect and Preparata-like codes
Designs, Codes and Cryptography. 2017. V.83. N1. P.169-177. DOI: 10.1007/s10623-016-0218-3 WOS Scopus РИНЦ OpenAlex
46 Krotov D.S.
The extended 1-perfect trades in small hypercubes
Discrete Mathematics. 2017. V.340. N10. P.2559-2572. DOI: 10.1016/j.disc.2017.06.016 WOS Scopus РИНЦ OpenAlex
47 Bespalov E.A. , Krotov D.S.
MDS codes in Doob graphs
Problems of Information Transmission. 2017. V.53. N2. P.136-154. DOI: 10.1134/s003294601702003x WOS Scopus РИНЦ OpenAlex
48 Krotov D.S.
The minimum volume of subspace trades
Discrete Mathematics. 2017. V.340. N12. P.2723-2731. DOI: 10.1016/j.disc.2017.08.012 WOS Scopus РИНЦ OpenAlex
49 Avgustinovich S.V. , Krotov D.S. , Vasil'eva A.Y.
Completely regular codes in the infinite hexagonal grid
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2016. V.13. P.987-1016. DOI: 10.17377/semi.2016.13.079 WOS Scopus РИНЦ OpenAlex
50 Krotov D.S. , Potapov V.N.
Constructions of transitive latin hypercubes
European Journal of Combinatorics. 2016. V.54. P.51-64. DOI: 10.1016/j.ejc.2015.12.001 WOS Scopus РИНЦ OpenAlex

Conference theses (3) More info

1 Krotov D.S.
Strong distance invariance of some designs
In compilation Тезисы докладов международной конференции "Мальцевские чтения". 2022. – C.42.
2 Krotov D.S.
On multifold 1-perfect codes over non-prime fields
In compilation Тезисы докладов международной конференции "Мальцевские чтения". 2022. – C.43. РИНЦ
3 Krotov D.S. , Mogilnykh I.Y. , Vasilieva A.Y.
On existence of completely regular codes in hypercube and halved cube graphs
In compilation Международная конференция «Мальцевские чтения», 19-23 августа 2019 г. Тезисы докладов.. – ИМ СО РАН, НГУ., 2019. – C.38.

Conference attendances (13) More info

1 Krotov D.S.
Generalizing the Bierbrauer-Friedman bound to mixed-level orthogonal arrays
2024 年组合、编码与密码国际研讨会 2024 International Symposium on Combinatorics, Coding and Cryptography 27-29 Dec 2024
2 Krotov D.
Multispreads and additive intriguing sets in Hamming graphs
The International Conference and PhD-Master Summer School "Graphs and Groups, Complexity and Convexity" 11-25 Aug 2024
3 Krotov D.S.
On the existence of some completely regular codes in Hamming graphs
2024 IEEE International Symposium on Information Theory 7 Jul - 12 Aug 2024
4 Krotov D.S.
Multispreads and the characterization of parameters of additive one-weight codes
Combinatorial Constructions Conference 07-13 Apr 2024
5 Krotov D.
Completely Regular Codes as Optimal Structures
2023 年编码与密码国际研讨会 08-10 Dec 2023
6 Krotov D.
Completely regular codes as optimal structures
2023 XVIII International Symposium on Problems of Redundancy in Information and Control Systems 24-27 Oct 2023
7 Krotov D. , Mogilʹnykh I.Y.
Multispreads and additive completely regular codes
The 23rd USTC-AHU-AHJZU Joint Seminar on Algebraic Combinatorics 02-02 Sep 2023
8 Krotov D.
On the coset graph construction of distance-regular graphs
The 8th Workshop on «Algebraic Graph Theory and its Applications» 01-04 Mar 2023
9 Krotov D.S.
On multifold 1-perfect codes over non-prime fields
Международная конференция "МАЛЬЦЕВСКИЕ ЧТЕНИЯ" 14-18 Nov 2022
10 Krotov D.S.
Strong distance invariance of some designs
Международная конференция "МАЛЬЦЕВСКИЕ ЧТЕНИЯ" 14-18 Nov 2022
11 Krotov D.
Constructing nonadditive MRD codes by switching
8th Optical Workshop 06-09 Sep 2022
12 Krotov D.
On constructing nonlinear MRD codes
The 6th Workshop On Algebraic Graph Theory and Its Applications 21-25 Mar 2022
13 Krotov D.
On the parameters of unrestricted completely regular codes
2020 Ural Workshop on Group Theory and Combinatorics 24-30 Aug 2020

Identifiers

ORCID: 0000-0002-8516-755X
Scopus ID: 14050575000
ResearcherID: L-2862-2013
Elibrary ID: 17861
Publons ID: 1383607
ResearchGate ID: Denis-Krotov
MathNet: 29456

Degrees

2011 - Dr.Sc.

2001 - Ph.D.