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ORCIDDenis S. Krotov
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- affiliation: Sobolev Institute of Mathematics, Novosibirsk, Russia
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2020 – today
- 2025
[j60]Evgeny Bespalov
, Denis S. Krotov:
On extended 1-perfect bitrades. Discret. Math. 348(1): 114222 (2025)- 2024
- [j59]Denis S. Krotov:
Equitable [[2, 10], [6, 6]]-partitions of the 12-cube. Cryptogr. Commun. 16(5): 975-996 (2024) - [j58]Denis S. Krotov, Vladimir N. Potapov:
An upper bound on the number of frequency hypercubes. Discret. Math. 347(1): 113657 (2024) - [j57]Denis S. Krotov:
The classification of orthogonal arrays OA(2048,14,2,7) and some completely regular codes. Discret. Math. 347(5): 113923 (2024) - [j56]Denis S. Krotov, Alexandr Valyuzhenich:
On degree-3 and (n - 4)-correlation-immune perfect colorings of n-cubes. Discret. Math. 347(10): 114138 (2024) - [c8]Denis S. Krotov:
On the Existence of Some Completely Regular Codes in Hamming Graphs. ISIT 2024: 121-126 - 2023
- [j55]Denis S. Krotov:
Perfect Colorings of the Infinite Square Grid: Coverings and Twin Colors. Electron. J. Comb. 30(2) (2023) - [j54]Minjia Shi, Yaya Li, Wei Cheng, Dean Crnkovic, Denis S. Krotov, Patrick Solé:
Self-dual bent sequences for complex Hadamard matrices. Des. Codes Cryptogr. 91(4): 1453-1474 (2023) - [j53]Denis S. Krotov:
Projective tilings and full-rank perfect codes. Des. Codes Cryptogr. 91(10): 3293-3303 (2023) - [j52]Minjia Shi, Denis S. Krotov:
An enumeration of 1-perfect ternary codes. Discret. Math. 346(7): 113437 (2023) - [j51]Minjia Shi, Yuhong Xia, Denis S. Krotov:
A family of diameter perfect constant-weight codes from Steiner systems. J. Comb. Theory A 200: 105790 (2023) - [j50]Minjia Shi, Yaya Li, Wei Cheng, Dean Crnkovic, Denis S. Krotov, Patrick Solé:
Self-Dual Hadamard Bent Sequences. J. Syst. Sci. Complex. 36(2): 894-908 (2023) - [j49]Minjia Shi, Xiaoxiao Li, Denis S. Krotov, Ferruh Özbudak:
Quasi-Cyclic Perfect Codes in Doob Graphs and Special Partitions of Galois Rings. IEEE Trans. Inf. Theory 69(9): 5597-5603 (2023) - [d2]Denis S. Krotov:
Perfect and Related Codes. IEEE DataPort, 2023
- [i60]Minjia Shi, Xiaoxiao Li, Denis S. Krotov, Ferruh Özbudak:
Quasi-cyclic perfect codes in Doob graphs and special partitions of Galois rings. CoRR abs/2305.02735 (2023) - [i59]Denis S. Krotov:
The classification of orthogonal arrays OA(2048, 14, 2, 7) and some completely regular codes. CoRR abs/2311.05428 (2023) - [i58]Denis S. Krotov, Alexandr Valyuzhenich:
On degree-3 and (n-4)-correlation-immune perfect colorings of n-cubes. CoRR abs/2311.05566 (2023) - [i57]Denis S. Krotov, Ivan Yu. Mogilnykh:
Multispreads. CoRR abs/2312.07883 (2023) - [i56]Denis S. Krotov:
On the existence of some completely regular codes in Hamming graphs. CoRR abs/2312.08360 (2023) - 2022
- [j48]Minjia Shi, Denis S. Krotov, Patrick Solé:
On the coset graph construction of distance-regular graphs. Discret. Math. 345(11): 113037 (2022) - [j47]Minjia Shi, Rongsheng Wu, Denis S. Krotov:
On q-Ary Shortened-1-Perfect-Like Codes. IEEE Trans. Inf. Theory 68(11): 7100-7106 (2022) - [d1]Denis S. Krotov:
Extended 1-perfect unitrades of length 10. IEEE DataPort, 2022 - [i55]Minjia Shi, Yaya Li, Wei Cheng, Dean S. Crnkovic, Denis S. Krotov, Patrick Solé:
Self-dual Hadamard bent sequences. CoRR abs/2203.16439 (2022) - [i54]Minjia Shi, Denis S. Krotov, Patrick Solé:
On the coset graph construction of distance-regular graphs. CoRR abs/2206.00031 (2022) - [i53]Denis S. Krotov:
Projective tilings and full-rank perfect codes. CoRR abs/2207.00105 (2022) - [i52]Minjia Shi, Denis S. Krotov, Ferruh Özbudak:
Constructing MRD codes by switching. CoRR abs/2211.00298 (2022) - [i51]Minjia Shi, Yuhong Xia, Denis S. Krotov:
A family of diameter perfect constant-weight codes from Steiner systems. CoRR abs/2212.00048 (2022) - [i50]Denis S. Krotov:
Multifold 1-perfect codes. CoRR abs/2212.03644 (2022) - [i49]Denis S. Krotov, Vladimir N. Potapov:
An upper bound on the number of frequency hypercubes. CoRR abs/2212.03694 (2022) - 2021
- [j46]Denis S. Krotov, Vladimir N. Potapov:
On Multifold Packings of Radius-1 Balls in Hamming Graphs. IEEE Trans. Inf. Theory 67(6): 3585-3598 (2021) - [i48]Minjia Shi, Rongsheng Wu, Denis S. Krotov:
On q-ary shortened-1-perfect-like codes. CoRR abs/2110.05256 (2021) - [i47]Minjia Shi, Denis S. Krotov:
An enumeration of 1-perfect ternary codes. CoRR abs/2110.06305 (2021) - 2020
- [j45]Ebrahim Ghorbani, Sara Kamali, Gholamreza B. Khosrovshahi, Denis S. Krotov:
On the Volumes and Affine Types of Trades. Electron. J. Comb. 27(1): 1 (2020) - [j44]Denis S. Krotov, Konstantin V. Vorob'ev:
On Unbalanced Boolean Functions with Best Correlation Immunity. Electron. J. Comb. 27(1): 1 (2020) - [j43]Minjia Shi, Li Xu, Denis S. Krotov:
On the number of resolvable Steiner triple systems of small 3-rank. Des. Codes Cryptogr. 88(6): 1037-1046 (2020) - [j42]Denis S. Krotov:
On the OA(1536, 13, 2, 7) and related orthogonal arrays. Discret. Math. 343(2): 111659 (2020) - [j41]Yue Guan, Minjia Shi, Denis S. Krotov:
Steiner Triple Systems of Order 21 with a Transversal Subdesign TD(3, 6). Probl. Inf. Transm. 56(1): 23-32 (2020) - [j40]Denis S. Krotov:
The Existence of Perfect Codes in Doob Graphs. IEEE Trans. Inf. Theory 66(3): 1423-1427 (2020) - [j39]Minjia Shi, Denis S. Krotov, Patrick Solé:
A New Approach to the Kasami Codes of Type 2. IEEE Trans. Inf. Theory 66(4): 2456-2465 (2020) - [i46]Minjia Shi, Shukai Wang, Xiaoxiao Li, Denis S. Krotov:
On the number of frequency hypercubes Fn(4;2, 2). CoRR abs/2005.10887 (2020) - [i45]Denis S. Krotov:
On minimal subspace Zp-null designs. CoRR abs/2012.00037 (2020) - [i44]Denis S. Krotov:
[[2, 10], [6, 6]]-equitable partitions of the 12-cube. CoRR abs/2012.00038 (2020) - [i43]Evgeny Bespalov, Denis S. Krotov:
On extended 1-perfect bitrades. CoRR abs/2012.02183 (2020)
2010 – 2019
- 2019
- [j38]Minjia Shi, Daitao Huang, Denis S. Krotov:
Additive perfect codes in Doob graphs. Des. Codes Cryptogr. 87(8): 1857-1869 (2019) - [j37]Minjia Shi, Denis S. Krotov, Patrick Solé:
A new distance-regular graph of diameter 3 on 1024 vertices. Des. Codes Cryptogr. 87(9): 2091-2101 (2019) - [j36]Minjia Shi, Denis S. Krotov, Patrick Solé:
Correction to: A new distance-regular graph of diameter 3 on 1024 vertices. Des. Codes Cryptogr. 87(9): 2103 (2019) - [j35]Denis S. Krotov, Vladimir N. Potapov:
On the Cardinality Spectrum and the Number of Latin Bitrades of Order 3. Probl. Inf. Transm. 55(4): 343-365 (2019) - [j34]Minjia Shi, Rongsheng Wu, Denis S. Krotov:
On $Z_p Z_{p^k}$ -Additive Codes and Their Duality. IEEE Trans. Inf. Theory 65(6): 3841-3847 (2019) - [c7]Denis S. Krotov, Patrick Solé:
The punctured Dodecacode is uniformly packed. ISIT 2019: 1912-1916 - [c6]Denis S. Krotov:
On Dual Codes in the Doob Schemes. ISIT 2019: 1917-1921 - [c5]Denis S. Krotov, Vladimir N. Potapov:
On two-fold packings of radius-1 balls in Hamming graphs. ISIT 2019: 2773-2777 - [c4]Denis S. Krotov:
On (2n/3 - 1)-Resilient (n, 2)-Functions. ISIT 2019: 2957-2961 - [i42]Denis S. Krotov:
On dual codes in the Doob schemes. CoRR abs/1902.00020 (2019) - [i41]Denis S. Krotov:
On $(2n/3-1)$-resilient $(n, 2)$-functions. CoRR abs/1902.00022 (2019) - [i40]Denis S. Krotov, Vladimir N. Potapov:
On two-fold packings of radius-1 balls in Hamming graphs. CoRR abs/1902.00023 (2019) - [i39]Denis S. Krotov, Evgeny V. Gorkunov, Vladimir N. Potapov:
On the number of autotopies of an n-ary qusigroup of order 4. CoRR abs/1903.00188 (2019) - [i38]Yue Guan, Minjia Shi, Denis S. Krotov:
The Steiner triple systems of order 21 with a transversal subdesign TD(3, 6). CoRR abs/1905.09081 (2019) - [i37]Denis S. Krotov:
On the orthogonal arrays of parameters OA(1536, 13, 2, 7) and related. CoRR abs/1905.11371 (2019) - [i36]Minjia Shi, Li Xu, Denis S. Krotov:
On the number of resolvable Steiner triple systems of small 3-rank. CoRR abs/1907.00266 (2019) - 2018
- [j33]Denis S. Krotov, Evgeny Bespalov:
Distance-2 MDS Codes and Latin Colorings in the Doob Graphs. Graphs Comb. 34(5): 1001-1017 (2018) - [i35]Minjia Shi, Daitao Huang, Denis S. Krotov:
Additive perfect codes in Doob graphs. CoRR abs/1806.04834 (2018) - [i34]Minjia Shi, Denis S. Krotov, Patrick Solé:
A new distance-regular graph of diameter 3 on 1024 vertices. CoRR abs/1806.07069 (2018) - [i33]Minjia Shi, Rongsheng Wu, Denis S. Krotov:
On ZpZpk-additive codes and their duality. CoRR abs/1809.00008 (2018) - [i32]Minjia Shi, Denis S. Krotov, Patrick Solé:
A new approach to the Kasami codes of type 2. CoRR abs/1810.00015 (2018) - [i31]Denis S. Krotov:
The existence of perfect codes in Doob graphs. CoRR abs/1810.03772 (2018) - [i30]Denis S. Krotov:
On the gaps of the spectrum of volumes of trades. CoRR abs/1811.00015 (2018) - [i29]Denis S. Krotov, Ivan Yu. Mogilnykh, Anastasia Yu. Vasil'eva:
On completely regular codes of covering radius 1 in the halved hypercubes. CoRR abs/1812.03159 (2018) - 2017
- [j32]Denis S. Krotov:
On the automorphism groups of the Z2 Z4 -linear 1-perfect and Preparata-like codes. Des. Codes Cryptogr. 83(1): 169-177 (2017) - [j31]Denis S. Krotov:
The extended 1-perfect trades in small hypercubes. Discret. Math. 340(10): 2559-2572 (2017) - [j30]Denis S. Krotov:
The minimum volume of subspace trades. Discret. Math. 340(12): 2723-2731 (2017) - [j29]Evgeny Bespalov, Denis S. Krotov:
MDS codes in Doob graphs. Probl. Inf. Transm. 53(2): 136-154 (2017) - [j28]Evgeny Bespalov, Denis S. Krotov:
Erratum to: "MDS codes in Doob graphs". Probl. Inf. Transm. 53(3): 306 (2017) - 2016
- [j27]Denis S. Krotov, Patric R. J. Östergård, Olli Pottonen:
Non-existence of a ternary constant weight (16, 5, 15;2048) diameter perfect code. Adv. Math. Commun. 10(2): 393-399 (2016) - [j26]Denis S. Krotov:
Perfect codes in Doob graphs. Des. Codes Cryptogr. 80(1): 91-102 (2016) - [j25]Denis S. Krotov, Ivan Yu. Mogilnykh, Vladimir N. Potapov:
To the theory of q-ary Steiner and other-type trades. Discret. Math. 339(3): 1150-1157 (2016) - [j24]Denis S. Krotov, Vladimir N. Potapov:
Constructions of transitive latin hypercubes. Eur. J. Comb. 54: 51-64 (2016) - [j23]Denis S. Krotov, Anastasia Yu. Vasil'eva:
On perfect codes that do not contain Preparata-like codes. Probl. Inf. Transm. 52(3): 284-288 (2016) - [i28]Denis S. Krotov:
On the Automorphism Groups of the Z2Z4-Linear 1-Perfect and Preparata-Like Codes. CoRR abs/1602.00036 (2016) - [i27]Denis S. Krotov:
On the number of maximum independent sets in Doob graphs. CoRR abs/1612.00007 (2016) - 2015
- [j22]Denis S. Krotov, Evgeniya V. Sotnikova:
Embedding in q-ary 1-perfect codes and partitions. Discret. Math. 338(11): 1856-1859 (2015) - [j21]Denis S. Krotov, Mercè Villanueva:
Classification of the Z2Z4-Linear Hadamard Codes and Their Automorphism Groups. IEEE Trans. Inf. Theory 61(2): 887-894 (2015) - [j20]Janne I. Kokkala, Denis S. Krotov, Patric R. J. Östergård:
On the Classification of MDS Codes. IEEE Trans. Inf. Theory 61(12): 6485-6492 (2015) - [i26]Denis S. Krotov, Evgeny Bespalov:
Distance-2 MDS codes and latin colorings in the Doob graphs. CoRR abs/1510.01429 (2015) - [i25]Denis S. Krotov:
The minimum volume of subspace trades. CoRR abs/1512.02592 (2015) - [i24]Denis S. Krotov, Anastasia Yu. Vasil'eva:
On 1-perfect codes that do not include Preparata codes. CoRR abs/1512.03048 (2015) - [i23]Evgeny Bespalov, Denis S. Krotov:
MDS codes in the Doob graphs. CoRR abs/1512.03361 (2015) - 2014
- [j19]Denis S. Krotov, Vladimir N. Potapov:
Propelinear 1-Perfect Codes From Quadratic Functions. IEEE Trans. Inf. Theory 60(4): 2065-2068 (2014) - [c3]Janne I. Kokkala, Denis S. Krotov, Patric R. J. Östergård:
Classification of MDS Codes over Small Alphabets. ICMCTA 2014: 227-235 - [c2]Denis S. Krotov, Mercè Villanueva:
On the Automorphism Groups of the \(\mathbb{Z}_{2}\mathbb{Z}_{4}\)-Linear Hadamard Codes and Their Classification. ICMCTA 2014: 237-243 - [i22]Denis S. Krotov:
Perfect codes in Doob graphs. CoRR abs/1407.6329 (2014) - [i21]Denis S. Krotov, Mercè Villanueva:
Classification of the Z2Z4-Linear Hadamard Codes and Their Automorphism Groups. CoRR abs/1408.1147 (2014) - [i20]Denis S. Krotov, Patric R. J. Östergård, Olli Pottonen:
Non-existence of a ternary constant weight $(16, 5, 15; 2048)$ diameter perfect code. CoRR abs/1408.6927 (2014) - [i19]Janne I. Kokkala, Denis S. Krotov, Patric R. J. Östergård:
On the Classification of MDS Codes. CoRR abs/1411.5822 (2014) - [i18]Denis S. Krotov, Evgeniya V. Sotnikova:
Embedding in $q$-ary $1$-perfect codes and partitions. CoRR abs/1412.3795 (2014) - 2013
- [i17]Denis S. Krotov, Vladimir N. Potapov:
Transitive 1-perfect codes from quadratic functions. CoRR abs/1301.0014 (2013) - [i16]Denis S. Krotov:
On calculation of the interweight distribution of an equitable partition. CoRR abs/1303.0002 (2013) - [i15]Denis S. Krotov, Vladimir N. Potapov:
Construction of transitive MDS codes. CoRR abs/1303.0004 (2013) - 2012
- [j18]Denis S. Krotov:
On the binary codes with parameters of triply-shortened 1-perfect codes. Des. Codes Cryptogr. 64(3): 275-283 (2012) - [i14]Denis S. Krotov:
A partition of the hypercube into cosets of maximally nonparallel Hamming codes. CoRR abs/1210.0010 (2012) - 2011
- [j17]Olof Heden, Denis S. Krotov:
On the structure of non-full-rank perfect q-ary codes. Adv. Math. Commun. 5(2): 149-156 (2011) - [j16]Denis S. Krotov:
On weight distributions of perfect colorings and completely regular codes. Des. Codes Cryptogr. 61(3): 315-329 (2011) - [j15]Denis S. Krotov, Vladimir N. Potapov:
On connection between reducibility of an n-ary quasigroup and that of its retracts. Discret. Math. 311(1): 58-66 (2011) - [j14]Denis S. Krotov, Patric R. J. Östergård, Olli Pottonen:
On Optimal Binary One-Error-Correcting Codes of Lengths 2m-4 and 2m-3. IEEE Trans. Inf. Theory 57(10): 6771-6779 (2011) - [i13]Denis S. Krotov:
On the binary codes with parameters of triply-shortened 1-perfect codes. CoRR abs/1104.0005 (2011) - [i12]Denis S. Krotov, Patric R. J. Östergård, Olli Pottonen:
On Optimal Binary One-Error-Correcting Codes of Lengths $2^m-4$ and $2^m-3$. CoRR abs/1104.4013 (2011) - 2010
- [j13]Denis S. Krotov:
On the binary codes with parameters of doubly-shortened 1-perfect codes. Des. Codes Cryptogr. 57(2): 181-194 (2010) - [j12]Denis S. Krotov, Vladimir N. Potapov:
On switching equivalence of n-ary quasigroups of order 4 and perfect binary codes. Probl. Inf. Transm. 46(3): 219-224 (2010) - [i11]Denis S. Krotov, Olof Heden:
On the structure of non-full-rank perfect codes. CoRR abs/1001.0001 (2010)
2000 – 2009
- 2009
- [j11]Denis S. Krotov, Vladimir N. Potapov:
n-Ary Quasigroups of Order 4. SIAM J. Discret. Math. 23(2): 561-570 (2009) - [i10]Denis S. Krotov:
On weight distributions of perfect structures. CoRR abs/0907.0001 (2009) - [i9]Denis S. Krotov:
On the binary codes with parameters of doubly-shortened 1-perfect codes. CoRR abs/0907.0002 (2009) - 2008
- [j10]Denis S. Krotov:
On diameter perfect constant-weight ternary codes. Discret. Math. 308(14): 3104-3114 (2008) - [j9]Denis S. Krotov:
On decomposability of 4-ary distance 2 MDS codes, double-codes, and n-quasigroups of order 4. Discret. Math. 308(15): 3322-3334 (2008) - [j8]Denis S. Krotov:
On reducibility of n-ary quasigroups. Discret. Math. 308(22): 5289-5297 (2008) - [j7]Denis S. Krotov:
On irreducible n-ary quasigroups with reducible retracts. Eur. J. Comb. 29(2): 507-513 (2008) - [j6]Denis S. Krotov, Sergey V. Avgustinovich:
On the Number of 1-Perfect Binary Codes: A Lower Bound. IEEE Trans. Inf. Theory 54(4): 1760-1765 (2008) - [j5]Hyun Kwang Kim, Denis S. Krotov:
The Poset Metrics That Allow Binary Codes of Codimension m -, (m-1)-, or (m-2)-Perfect. IEEE Trans. Inf. Theory 54(11): 5241-5246 (2008) - [i8]Yuriy Vasil'ev, Sergey V. Avgustinovich, Denis S. Krotov:
On mobile sets in the binary hypercube. CoRR abs/0802.0003 (2008) - [i7]Sergey V. Avgustinovich, Denis S. Krotov:
Embedding in a perfect code. CoRR abs/0804.0006 (2008) - 2007
- [j4]Denis S. Krotov:
On Z2k-Dual Binary Codes. IEEE Trans. Inf. Theory 53(4): 1532-1537 (2007) - [c1]Hyun Kwang Kim, Denis S. Krotov:
The poset metrics that allow binary codes of codimension m to be m-, (m - 1)-, or (m - 2)-perfect. ISIT 2007: 1371-1375 - [i6]Hyun Kwang Kim, Denis S. Krotov:
The poset metrics that allow binary codes of codimension m to be m-, (m-1)-, or (m-2)-perfect. CoRR abs/0705.2807 (2007) - [i5]Denis S. Krotov:
Z4-Linear Perfect Codes. CoRR abs/0710.0198 (2007) - [i4]Denis S. Krotov:
Z4-linear Hadamard and extended perfect codes. CoRR abs/0710.0199 (2007) - 2005
- [i3]Denis S. Krotov:
On Z2k-Dual Binary Codes. CoRR abs/math/0509325 (2005) - [i2]Denis S. Krotov:
On decomposability of 4-ary distance 2 MDS codes, double-codes, and n-quasigroups of order 4. CoRR abs/math/0509358 (2005) - [i1]Denis S. Krotov:
On diameter perfect constant-weight ternary codes. CoRR abs/math/0509620 (2005) - 2004
- [j3]Denis S. Krotov, Vladimir N. Potapov:
On Multifold MDS and Perfect Codes That Are Not Splittable into Onefold Codes. Probl. Inf. Transm. 40(1): 5-12 (2004) - 2001
- [j2]Denis S. Krotov:
Z4-linear Hadamard and extended perfect codes. Electron. Notes Discret. Math. 6: 107-112 (2001) - [j1]Denis S. Krotov:
Inductive Constructions of Perfect Ternary Constant-Weight Codes with Distance 3. Probl. Inf. Transm. 37(1): 1-9 (2001)
Coauthor Index
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