
Science activity
Articles (88) More info
1 |
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. |
2 |
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. |
3 |
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. |
4 |
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 OpenAlex |
5 |
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 |
6 |
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 |
7 |
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 |
8 |
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 |
9 |
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 |
10 |
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 . DOI: 10.1016/j.disc.2024.114138 WOS Scopus РИНЦ OpenAlex |
11 |
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 |
12 |
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 |
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 |
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 |
15 |
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 |
16 |
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 |
17 |
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 |
18 |
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 |
19 |
Krotov D.S.
Projective tilings and full-rank perfect codes Designs, Codes and Cryptography. 2023. V.91. P.3293–3303. DOI: 10.1007/s10623-023-01256-y WOS Scopus OpenAlex |
20 |
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 |
21 |
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 |
22 |
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 |
23 |
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 |
24 |
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 |
25 |
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 |
26 |
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 |
27 |
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 |
28 |
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 |
29 |
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 |
30 |
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 |
31 |
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 |
32 |
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 |
33 |
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 |
34 |
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 |
35 |
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 |
36 |
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 |
37 |
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 |
38 |
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 |
39 |
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 |
40 |
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 |
41 |
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 |
42 |
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 |
43 |
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 |
44 |
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 |
45 |
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 |
46 |
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 |
47 |
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 |
48 |
Krotov D.S.
Perfect codes in Doob graphs Designs, Codes and Cryptography. 2016. V.80. N1. P.91-102. DOI: 10.1007/s10623-015-0066-6 WOS Scopus РИНЦ OpenAlex |
49 |
Krotov D.S.
, Vasil'eva A.Y.
On perfect codes that do not contain Preparata-like codes Problems of Information Transmission. 2016. V.52. N3. P.284-288. DOI: 10.1134/s0032946016030066 WOS Scopus РИНЦ OpenAlex |
50 |
Bespalov E.A.
, Krotov D.S.
On one test for the switching separability of graphs modulo q Siberian Mathematical Journal. 2016. V.57. N1. P.7-17. DOI: 10.1134/s003744661601002x 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






Degrees
2011 - Dr.Sc.
2001 - Ph.D.